Grav19 April 8Th–12Th, 2019, C´Ordoba, Argentina
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Texts and Monographs in Physics W. Beiglbock J.L. Birman R.P. Geroch
Texts and Monographs in Physics W. Beiglbock J.L. Birman R.P. Geroch E.H. Lieb T. Regge W. Thirring Series Editors Nail R.Sibgatullin Oscillations and Waves in Strong Gravitational and Electromagnetic Fields With 26 Figures Spri nger-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Professor Dr. Nail R. Sibgatullin Faculty of Mechanics and Mathematics, Moscow State University SU-119899 Moscow, USSR Translator: Dr. Nathaniel M. Queen Department of Mathematics, The University of Birmingham P.O. Box 363, Birmingham B15 2IT, United Kingdom Editors Wolf Beiglb6ck Elliott H. Lieb Institut fiir Angewandte Mathematik Department of Physics Universitiit Heidelberg Joseph Henry Laboratories 1m Neuenheimer Feld 294 Princeton University D-6900 Heidelberg 1 Princeton,NJ08540, USA Fed. Rep. of Germany Joseph L. Birman Tullio Regge Department of Physics, The City College Istituto di Fisca Teorica of the City University of New York Universita di Torino, C. so M. d'Azeglio, 46 New York, NY 10031, USA 1-10125 Torino, Italy Robert P. Geroch Walter Thirring Enrico Fermi Institute Institut fiirTheoretische Physik University of Chicago der UniversitiitWien, Boltzmanngasse 5 5640 EllisAve. A-1090Wien, Austria Chicago, IL 60637, USA Title of the original Russian edition: Kolebaniya i volny v silnykh gravitatsionnykh i elektromagnitnykh polyakh © Nauka, Moscow 1984 ISBN-13: 978-3-642-83529-2 e-ISBN-13: 978-3-642-83527-8 DOl: 10.1007/978-3-642-83527-8 Library of Congress Cataloging·in·Publication Data. Sib~atullin, N. R. (Nail' Rakhimovich) [KolebaniG i volny v sil 'nykh gravitatsionnykh i elektromagnitnykh pohakh. English 1Oscillations and waves in strong gra vitational and electromagnetic fields / Nail R. -
Einstein and Einstein-Maxwell Fields of Weyl's Type Einsteinova A
Einstein and Einstein-Maxwell fields of Weyl’s type Einsteinova a Einsteinova-Maxwellova pole Weylova typu Lukáš Richterek Faculty of Natural Sciences Palacký University Olomouc and Faculty of Natural Sciences Masaryk University Brno PhD thesis May 2000 Submitted theses were completed within the framework of the external postgraduate study at the Department of General Physics, Faculty of Natural Sciences, Masaryk Uni- versity Brno. Candidate: Lukáš Richterek Department of Theoretical Physics Faculty of Natural Sciences Palacký University Svobody 26, Olomouc, CZ-771 46 [email protected] Supervisor: Prof. RNDr. Jan Novotný, CSc. Department of General Physics Faculty of Natural Sciences Masaryk University Kotlářská 2, Brno, CZ-611 37 [email protected] Advisor: Prof. RNDr. Jan Horský, DrSc. Department of Theoretical Physics and Astrophysics Faculty of Natural Sciences Masaryk University Kotlářská 2, Brno, CZ-611 37 [email protected] Examining comission: Abstract The problems solved in this thesis can be divided into two spheres. The first one represents the generation of new Einstein-Maxwell fields, the second one their physical interpretation. The solution of non-linear, self-consistent Einstein-Maxwell equations is an enormously complicated task and was explicitly carried out only in the simplest cases. On the other hand, many exact solutions were discovered by means of special generation techniques that enable us to construct new Einstein-Maxwell fields from those already known or even from the vacuum spacetimes which do not contain any electromagnetic field. A brief review of those techniques together with a summary of necessary mathematical apparatus is given in chapter 1. It is to stress that such techniques are enormously useful, because the more exact solutions will be known and explored, the better we will be able to understand the mathematical and physical background of the theory. -
Icranet Scientific Report 2009
Exact Solutions of Einstein and Einstein { Maxwell Equations Contents 1. Topics 13 2. Participants 15 2.1. ICRANet participants . 15 2.2. Past collaborators . 15 2.3. Students . 15 3. Brief description of the ISM and IEM 17 3.1. Foreword . 17 3.1.1. Vacuum and electrovacuum fields with two - dimen- sional Abelian isometry group . 18 3.2. Inverse scattering approach to solution of vacuum Einstein equa- tions (“Lambda-solitons” and the Riemann - Hilbert problem) 20 3.2.1. Vacuum solitons on arbitrary background . 21 3.2.2. Formulation of the Riemann-Hilbert problem and its solution . 22 3.3. Monodromy transform approach to solution of Einstein-Maxwell equations (“Omega-solitons” and the integral equation method) 25 3.3.1. Elecrovacuum solitons on arbitrary background . 26 3.3.2. Monodromy data parametrization of the solution space 28 3.3.3. Constructing solutions for arbitrary monodromy data . 30 4. Publications 33 4.1. Books . 33 4.2. Refereed journals . 34 4.3. Proceedings of international conferences . 39 4.4. Talks at international conferences . 41 5. The last year (2010) research activity 45 5.1. Exact solutions of Einstein and Einstein-Maxwell equations: . 45 5.2. Cosmology . 46 5.3. The work on the book ”Cosmological Singularity” by V.Belinski and T.Damour . 47 5.4. The work on the second edition of the book”Gravitational Soli- tons” by V.Belinski and E.Verdaguer . 48 11 Contents A. Equilibrium configurations of two charged masses in General Rela- tivity 49 A.1. Introduction . 49 A.2. The solution . 52 A.3. Properties of the solution . -
Multipole Structure of Compact Objects
Physical Sciences and Technology Vol. 3 (No. 1), 2016: 42-49 UDC 53.02 Multipole structure of compact objects Quevedo H. Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, México, DF 04510, Mexico Dipartimento di Fisica and ICRA, Università di Roma "La Sapienza", I-00185 Roma, Italy e-mail: [email protected] We analyze the applications of general relativity in relativistic astrophysics in order to solve the problem of describing the geometric and physical properties of the interior and exterior gravitational and electromagnetic fields of compact objects. We focus on the interpretation of exact solutions of Einstein's equations in terms of their multipole moments structure. In view of the lack of physical interior solutions, we propose an alternative approach in which higher multipoles should be taken into account. Key words: Exact solutions of Einstein equations, compact objects, multipole moments PACS numbers: 04.20.Jb, 95.30.Sf 1 Introduction considered to contain collectively planet-like objects, white dwarfs, neutron stars, other exotic dense stars, Einstein's equations [1] and black holes. The problem of describing the gravitational field of compact objects can be split 1 into two related problems, namely, the exterior and R Rg= T , (1) 2 the interior field, each of them represented by a i e particular metric g and g , respectively. The relate the geometric structure of spacetime, which is surface of the compact object represents the 1 hypersurface at which the interior and the exterior given by the Einstein tensor G= R Rg , 2 fields must coincide. The exterior field corresponds with the matter content of spacetime, which is given to a vacuum spacetime Tμv = 0, for which Einstein's by the energy-momentum tensor Tμv. -
General Relativity
GENERALRELATIVITY t h i m o p r e i s1 17th April 2020 1 [email protected] CONTENTS 1 differential geomtry 3 1.1 Differentiable manifolds 3 1.2 The tangent space 4 1.2.1 Tangent vectors 6 1.3 Dual vectors and tensor 6 1.3.1 Tensor densities 8 1.4 Metric 11 1.5 Connections and covariant derivatives 13 1.5.1 Note on exponential map/Riemannian normal coordinates - TO DO 18 1.6 Geodesics 20 1.6.1 Equivalent deriavtion of the Geodesic Equation - Weinberg 22 1.6.2 Character of geodesic motion is sustained and proper time is extremal on geodesics 24 1.6.3 Another remark on geodesic equation using the principle of general covariance 26 1.6.4 On the parametrization of the path 27 1.7 An equivalent consideration of parallel transport, geodesics 29 1.7.1 Formal solution to the parallel transport equa- tion 31 1.8 Curvature 33 1.8.1 Torsion and metric connection 34 1.8.2 How to get from the connection coefficients to the connection-the metric connection 34 1.8.3 Conceptional flow of how to add structure on our mathematical constructs 36 1.8.4 The curvature 37 1.8.5 Independent components of the Riemann tensor and intuition for curvature 39 1.8.6 The Ricci tensor 41 1.8.7 The Einstein tensor 43 1.9 The Lie derivative 43 1.9.1 Pull-back and Push-forward 43 1.9.2 Connection between coordinate transformations and diffeomorphism 47 1.9.3 The Lie derivative 48 1.10 Symmetric Spaces 50 1.10.1 Killing vectors 50 1.10.2 Maximally Symmetric Spaces and their Unique- ness 54 iii iv co n t e n t s 1.10.3 Maximally symmetric spaces and their construc- tion -
AC2 Report to IUPAP 2016.Pages
Report of Affiliated Commission AC.2 for 2015-16 submitted by Beverly K. Berger, Secretary The principal event of the year for the International Society on General Relativity and Gravitation (AC2) was the triennial GR conference. The 21st International Conference on General Relativity and Gravitation, GR21, was held 10 – 15 July 2016 at Columbia University. The scientific highlights of the meeting were talks and activities related to the first direct detection of gravitational waves by the LIGO Scientific Collaboration and the Virgo Collaboration—a momentous celebration of the Centennial of Einstein's first presentation of general relativity in November 1915. Approximately 650 registered participants attended the meeting. Sponsorship from IUPAP for this meeting, and AC2's own limited funds, assisted some of these participants. As usual, the conference had plenary talks in the morning, covering the whole field of AC2's interests. In the afternoons there were parallel contributed papers and poster sessions. There were 15 plenary talks (5 of the speakers being women) and 17 parallel sessions (7 of the chairs being women). Abstracts of all submissions became available online1 after the meeting. The abstracts of all parallel session talks and posters and the slides from the parallel session talks are available on the conference website.2 Slides from the plenary talks will be available soon. During the meeting, several prize winners were honored by AC2 and GWIC (WG11): The IUPAP Young Scientist Prize in General Relativity and Gravitation was first awarded at GR20 in 2013. The three winners since then, Jorge Santos, Stanford University and Cambridge University (2014), Nicolas Yunes, Montana State University (2015), and Ivan Agullo, Louisiana State University (2016) were recognized at the meeting. -
Consistent Discretizations and Quantum Gravity 3 Singularity, the Value of the Lapse Gets Modified and Therefore the “Lattice Spacing” Before and After Is Different
Proceedings of the II International Conference on Fundamental Interactions Pedra Azul, Brazil, June 2004 Canonical quantum gravity and consistent discretizations Rodolfo Gambini Instituto de F´ısica, Facultad de Ciencias, Igua esq. Mataojo, Montevideo, Uruguay Jorge Pullin Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803 USA We review a recent proposal for the construction of a quantum theory of the gravita- tional field. The proposal is based on approximating the continuum theory by a discrete theory that has several attractive properties, among them, the fact that in its canonical formulation it is free of constraints. This allows to bypass many of the hard conceptual problems of traditional canonical quantum gravity. In particular the resulting theory im- plies a fundamental mechanism for decoherence and bypasses the black hole information paradox. Keywords: canonical, quantum gravity, new variables, loop quantization 1. Introduction Discretizations are very commonly used as a tool to treat field theories. Classically, when one wishes to solve the equations of a theory on a computer, one replaces arXiv:gr-qc/0408025v1 9 Aug 2004 the continuum equations by discrete approximations to be solved numerically. At the level of quantization, lattices have been used to regularize the infinities that plague field theories. This has been a very successful approach for treating Yang– Mills theories. The current approaches to non-perturbatively construct in detail a mathematically well defined theory of quantum gravity both at the canonical level 1 and at the path integral level 2 resort to discretizations to regularize the theory. Discretizing general relativity is more subtle than what one initially thinks. -
Jorge Pullin Horace Hearne Institute for Theoretical Physics Louisiana State University
Complete quantization of vacuum spherically symmetric gravity Jorge Pullin Horace Hearne Institute for Theoretical Physics Louisiana State University With Rodolfo Gambini University of the Republic of Uruguay In spite of their simplicity, spherically symmetric vacuum space-times are challenging to quantize. One has a Hamiltonian and (one) diffeomorphism constraint and, like those in the full theory, they do not form a Lie algebra. Therefore a traditional Dirac quantization is problematic. There has been some progress in the past: Kastrup and Thiemann (NPB399, 211 (1993)) using the “old” (complex) Ashtekar variables were able to quantize through a series of gauge fixings. The resulting quantization has waveforms Ψ(M), with M being a Dirac observable. There is no sense in which the singularity is “resolved”. Kucha ř (PRD50, 3961 (1994)) through a series of canonical transformation using the traditional metric variables isolated the single degree of freedom of the model (the ADM mass). Results similar to Kastrup and Thiemann’s. Campiglia, Gambini and JP (CQG24, 3649 (2007)) using modern Ashtekar variables gauge fixed the diffeomorphism constraint and rescaled the Hamiltonian constraint to make it Abelian. The quantization ends up being equivalent to those of Kastrup, Thiemann and Kucha ř. Various authors (Modesto, Boehmer and Vandersloot, Ashtekar and Bojowald, Campiglia, Gambini, JP) studied the quantization of the interior of a black hole using the isometry to Kantowski-Sachs and treating it as a LQC. The singularity is resolved. Gambini and JP (PRL101, 161301 (2008)) studied the semiclassical theory for the complete space-time of a black hole. The singularity is replaced by a region of high curvature that tunnels into another region of space-time. -
Alejandro R. Corichi
Alejandro R. Corichi Instituto de Matematicas, UNAM, Apartado Postal 61-3, Morelia, Michoacan, 58090, M¶exico, Phone/Fax: +52 (55) 5623 2769/2732 , [email protected] , http://www.matmor.unam.mx/~corichi, Personal Mexican. Date of birth: 2nd of November of 1967. Married male with two children. Information Education The Pennsylvania State University, USA Ph.D. in Physics, August 1997. Thesis: Interplay between topology, gauge ¯elds and gravity. Adviser: Prof. Abhay Ashtekar. Facultad de Ciencias, UNAM, M¶exico Licenciado (Bs./M.Sc.) in Physics, October 1991. Thesis: Introduction to Geometrodynamics. Experience Visiting Professor Institute for Gravitation and the Cosmos Penn State University August 2008 { July 2009 I visited the Institute for Gravitation and the Cosmos at Penn State conducting research in quantum gravity. Researcher/Professor Institute of Mathematics Universidad Nacional Aut¶onomade M¶exico August 2005 { I joined the Institute for Mathematics, also at UNAM, where a quantum gravity group is now consolidating, including myself, R. Oeckl and J.A. Zapata. Head of the Department of Gravitation and Field Institute for Nuclear Sciences (ICN) Theory Universidad Nacional Aut¶onomade M¶exico September 2002 { August 2004. I served as head of the Department of Gravitation and Field Theory, consisting of 13 permanent faculty members, 4 postdoctoral associates and 20 graduate students. Research Associate Department of Physics and Astronomy University of Mississippi, USA September 2001 { August 2002 Conducted research in classical and quantum gravity. In quantum gravity, the statistical approach to semiclassical states in loop quantum gravity in collaboration with L. Bombelli and O. Winkler. Studies of coherent and semi-classical states for constrained systems. -
Curriculum Vitae
Curriculum Vitae Luis R. Lehner April 2020 1 Personal Data: Name and Surname: Luis R. LEHNER Marital Status: Married Date of Birth: July 17th. 1970 Current Address: Perimeter Institute for Theoretical Physics, 31 Caroline St. N. Waterloo, ON, N2L 2Y5 Canada Tel.: 519) 569-7600 Ext 6571 Mail Address: [email protected] Fax: (519) 569-7611 2 Education: • Ph.D. in Physics; University of Pittsburgh; 1998. Title: Gravitational Radiation from Black Hole spacetimes. Advisor: Jeffrey Winicour, PhD. • Licenciado en F´ısica;FaMAF, Universidad Nacional de C´ordoba;1993. Title: On a Simple Model for Compact Objects in General Relativity. Advisor: Osvaldo M. Moreschi, PhD. 3 Awards, Honors & Fellowships • \TD's 10 most influential Hispanic Canadian" 2019. • \Resident Theorist" for the Gravitational Wave International Committee 2018-present. • Member of the Advisory Board of the Kavli Institute for Theoretical Physics (UCSB) 2016-2020. • Executive Committee Member of the CIFAR programme: \Gravity and the Extreme Universe" 2017-present. • Member of the Scientific Council of the ICTP South American Institute for Fundamental Research (ICTP- SAIFR) 2015-present. • Fellow International Society of General Relativity and Gravitation, 2013-. • Discovery Accelerator Award, NSERC, Canada 2011-2014. • American Physical Society Fellow 2009-. • Canadian Institute for Advanced Research Fellow 2009-. 1 • Kavli-National Academy of Sciences Fellow 2008, 2017. • Louisiana State University Rainmaker 2008. • Baton Rouge Business Report Top 40 Under 40. 2007. • Scientific Board Member of Teragrid-NSF. 2006-2009. • Institute of Physics Fellow. The Institute of Physics, UK, 2004 -. • Phi Kappa Phi Non-Tenured Faculty Award in Natural and Physical Sciences. Louisiana State University, 2004. • Canadian Institute for Advanced Research Associate Member, 2004 -. -
Arxiv:1510.00522V5 [Gr-Qc] 20 Apr 2017 Rpgto,Cmol Eerdt Stefml of Family the As to Referred Commonly Propagation, Keywords: Algeb Exterior the and Manifolds
REVIEW ARTICLE APRIL 18, 2021 pp-waves in modified gravity Ahmet BAYKAL Department of Physics, Faculty of Arts and Sciences, Omer¨ Halisdemir University, Merkez Yerle¸ske, Bor yolu ¨uzeri, 51240 Ni˘gde, TURKEY E-mail: [email protected], [email protected] Abstract: The family of metrics corresponding to the plane-fronted gravitational waves with parallel propagation, commonly referred to as the family of pp-wave metrics, is studied in the context of various modified gravitational models in a self-contained and coherent manner by using a variant of the null coframe formulation of Newman and Penrose and the exterior algebra of differential forms on pseudo- Riemannian manifolds. Keywords: Classical general relativity; Einstein-Maxwell spacetimes, spacetimes with fluids, radia- tion or classical fields; Wave propagation and interactions; Modified theories of gravity; Scalar-tensor theories of gravity; Chern-Simons gauge theory; Nonminimal electromagnetic coupling; Exact solu- tions; Exterior algebra; Newman-Penrose formalism. Pacs Numbers: 04.20.-q Classical general relativity 04.20.Jb Exact solutions 04.30.Nk Wave propagation and interactions 04.50.Kd Modified theories of gravity 11.15.Yc Chern-Simons gauge theory 04.40.Nr Einstein-Maxwell spacetimes, spacetimes arXiv:1510.00522v5 [gr-qc] 20 Apr 2017 with fluids, radiation or classical fields Contents 1 Introduction 2 2 Geometrical preliminaries 3 2.1 The definitions of connection and curvature forms relative to a null coframe 3 2.2 The geometrical description of pp-wave metrics 5 2.3 -
Matters of Gravity, the Newsletter of the APS Topical Group on Gravitation
MATTERS OF GRAVITY The newsletter of the Topical Group on Gravitation of the American Physical Society Number 22 Fall 2003 Contents GGR News: We hear that... by Jorge Pullin ........................ 3 Research Briefs: Update on a busy year for LIGO, by Stan Whitcomb ............. 4 First Year Results From WMAP, by Rachel Bean .............. 8 Short-Range Searches for Non-Newtonian Gravity, by Michael Varney and Joshua Long ............................. 11 Conference reports: Xth Brazilian School of cosmology and gravitation, by Mario Novello .... 17 Sixth East Coast Gravity Meeting ....................... 18 5th Edoardo Amaldi meeting, by Alain Brillet ................ 19 Pacific Coast Gravity Meeting, by Charles Torre ............... 21 Astrophysics of Gravitational Wave Sources Workshop, by Joan Centrella . 22 Gravitational interaction of compact objects, by Matt Choptuik, Eanna´ Flanagan and Luis Lehner ...................... 23 PriceFest, by John T. Whelan ........................ 25 Gravitation: a decennial perspective, by Jorge Pullin ............. 26 arXiv:gr-qc/0309065v1 15 Sep 2003 Editor Jorge Pullin Department of Physics and Astronomy Louisiana State University Baton Rouge, LA 70803-4001 Phone/Fax: (225)578-0464 Internet: [email protected] WWW: http://www.phys.lsu.edu/faculty/pullin ISSN: 1527-3431 1 Editorial Not much to report here. Just to remind people that the year 2005 is the “year of physics” commemorating Einstein’s remarkable year of 1905. The Topical Group has set up a committee chaired by Richard Price to coordinate activities. There is a worldwide site http://www.physics2005.org. I want to encourage the readership to suggest topics for articles in MOG. In the last few issues articles were solicited by myself. This is not good for keeping the newsletter balanced.