MATTERS of GRAVITY, a Newsletter for the Gravity Community, Number 4
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The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes
S S symmetry Article The Second-Order Correction to the Energy and Momentum in Plane Symmetric Gravitational Waves Like Spacetimes Mutahir Ali *, Farhad Ali , Abdus Saboor, M. Saad Ghafar and Amir Sultan Khan Department of Mathematics, Kohat University of Science and Technology, Kohat 26000, Pakistan; [email protected] (F.A.); [email protected] (A.S.); [email protected] (M.S.G.); [email protected] (A.S.K.) * Correspondence: [email protected] Received: 5 December 2018; Accepted: 22 January 2019; Published: 13 February 2019 Abstract: This research provides second-order approximate Noether symmetries of geodetic Lagrangian of time-conformal plane symmetric spacetime. A time-conformal factor is of the form ee f (t) which perturbs the plane symmetric static spacetime, where e is small a positive parameter that produces perturbation in the spacetime. By considering the perturbation up to second-order in e in plane symmetric spacetime, we find the second order approximate Noether symmetries for the corresponding Lagrangian. Using Noether theorem, the corresponding second order approximate conservation laws are investigated for plane symmetric gravitational waves like spacetimes. This technique tells about the energy content of the gravitational waves. Keywords: Einstein field equations; time conformal spacetime; approximate conservation of energy 1. Introduction Gravitational waves are ripples in the fabric of space-time produced by some of the most violent and energetic processes like colliding black holes or closely orbiting black holes and neutron stars (binary pulsars). These waves travel with the speed of light and depend on their sources [1–5]. The study of these waves provide us useful information about their sources (black holes and neutron stars). -
Science & ROGER PENROSE
Science & ROGER PENROSE Live Webinar - hosted by the Center for Consciousness Studies August 3 – 6, 2021 9:00 am – 12:30 pm (MST-Arizona) each day 4 Online Live Sessions DAY 1 Tuesday August 3, 2021 9:00 am to 12:30 pm MST-Arizona Overview / Black Holes SIR ROGER PENROSE (Nobel Laureate) Oxford University, UK Tuesday August 3, 2021 9:00 am – 10:30 am MST-Arizona Roger Penrose was born, August 8, 1931 in Colchester Essex UK. He earned a 1st class mathematics degree at University College London; a PhD at Cambridge UK, and became assistant lecturer, Bedford College London, Research Fellow St John’s College, Cambridge (now Honorary Fellow), a post-doc at King’s College London, NATO Fellow at Princeton, Syracuse, and Cornell Universities, USA. He also served a 1-year appointment at University of Texas, became a Reader then full Professor at Birkbeck College, London, and Rouse Ball Professor of Mathematics, Oxford University (during which he served several 1/2-year periods as Mathematics Professor at Rice University, Houston, Texas). He is now Emeritus Rouse Ball Professor, Fellow, Wadham College, Oxford (now Emeritus Fellow). He has received many awards and honorary degrees, including knighthood, Fellow of the Royal Society and of the US National Academy of Sciences, the De Morgan Medal of London Mathematical Society, the Copley Medal of the Royal Society, the Wolf Prize in mathematics (shared with Stephen Hawking), the Pomeranchuk Prize (Moscow), and one half of the 2020 Nobel Prize in Physics, the other half shared by Reinhard Genzel and Andrea Ghez. -
Rainer Weiss, Professor of Physics Emeritus and 2017 Nobel Laureate
Giving to the Department of Physics by Erin McGrath RAINER WEISS ’55, PHD ’62 Bryce Vickmark Rai Weiss has established a fellowship in the Physics Department because he is eternally grateful to his advisor, the late Jerrold Zacharias, for all that he did for Rai, so he knows firsthand the importance of supporting graduate students. Rainer Weiss, Professor of Physics Emeritus and 2017 Nobel Laureate. Rainer “Rai” Weiss was born in Berlin, Germany in 1932. His father was a physician and his mother was an actress. His family was forced out of Germany by the Nazis since his father was Jewish and a Communist. Rai, his mother and father fled to Prague, Czecho- slovakia. In 1937 a sister was born in Prague. In 1938, after Chamberlain appeased Hitler by effectively giving him Czechoslovakia, the family was able to obtain visas to enter the United States through the Stix Family in St. Louis, who were giving bond to professional Jewish emigrants. When Rai was 21 years-old, he visited Mrs. Stix and thanked her for what she had done for his family. The family immigrated to New York City. Rai’s father had a hard time passing the medi- cal boards because of his inability to answer multiple choice exams. His mother, who Rai says “held the family together,” worked in a number of retail stores. Through the services of an immigrant relief organization Rai received a scholarship to attend the prestigious Columbia Grammar School. At the end of 1945, when Rai was 13 years old, he became fascinated with electronics and music. -
Gravitational Waves WARNING!!!!
Gravitational Waves WARNING!!!! ⚫ Terminology is treacherous! ⚫ There are gravitational waves (our topic) and there are gravity waves (a topic for a surfing class). Mix them to your peril. Gravitational waves ⚫ Movie The History ⚫ The history of gravitational waves is rocky. Einstein argued in 1916 that gravitational waves must exist – if the space-time is dynamic, there must be ripples on it. ⚫ Einstein derived the approximate formula for the gravitational waves from two orbiting bodies. ⚫ In 1922 Eddington (that one) argued that gravitational waves were not real and just a mathematical artefact. The History ⚫ In 1936 Einstein wrote a paper with Nathan Rosen reversing his original view; they concluded that all gravitational waves should collapse into black holes. ⚫ The paper was submitted to Physics Review but was returned after the referee pointed out a mistake in it. ⚫ Einstein got berserk in response, writing an angry letter to the editor and promising never to publish in Physics Review again. The History ⚫ Einstein was later persuaded by Infeld of his mistake and corrected the paper. Rosen never conceded. ⚫ In 1957 Richard Feymann (a very famous particle physicist) presented a “sticky bead” argument that convinced most people that gravitational waves are real. The Challenge ⚫ The primary challenge with gravitational waves is that in GR there is no (unambiguous) mathematical expression for its energy. ⚫ Since locally space-time is Minkowski, in the local inertial reference frame the energy of gravitational waves is zero. I.e., that energy is non-local, one cannot claim that the energy of gravitational waves is … at his location, only that the total energy is such and such. -
Highlights of Modern Physics and Astrophysics
Highlights of Modern Physics and Astrophysics How to find the “Top Ten” in Physics & Astrophysics? - List of Nobel Laureates in Physics - Other prizes? Templeton prize, … - Top Citation Rankings of Publication Search Engines - Science News … - ... Nobel Laureates in Physics Year Names Achievement 2020 Sir Roger Penrose "for the discovery that black hole formation is a robust prediction of the general theory of relativity" Reinhard Genzel, Andrea Ghez "for the discovery of a supermassive compact object at the centre of our galaxy" 2019 James Peebles "for theoretical discoveries in physical cosmology" Michel Mayor, Didier Queloz "for the discovery of an exoplanet orbiting a solar-type star" 2018 Arthur Ashkin "for groundbreaking inventions in the field of laser physics", in particular "for the optical tweezers and their application to Gerard Mourou, Donna Strickland biological systems" "for groundbreaking inventions in the field of laser physics", in particular "for their method of generating high-intensity, ultra-short optical pulses" Nobel Laureates in Physics Year Names Achievement 2017 Rainer Weiss "for decisive contributions to the LIGO detector and the Kip Thorne, Barry Barish observation of gravitational waves" 2016 David J. Thouless, "for theoretical discoveries of topological phase transitions F. Duncan M. Haldane, and topological phases of matter" John M. Kosterlitz 2015 Takaaki Kajita, "for the discovery of neutrino oscillations, which shows that Arthur B. MsDonald neutrinos have mass" 2014 Isamu Akasaki, "for the invention of -
Two Microlensing Planets Through the Planetary-Caustic Channel
The Astronomical Journal, 161:293 (12pp), 2021 June https://doi.org/10.3847/1538-3881/abf8bd © 2021. The American Astronomical Society. All rights reserved. OGLE-2018-BLG-0567Lb and OGLE-2018-BLG-0962Lb: Two Microlensing Planets through the Planetary-caustic Channel Youn Kil Jung1,2,15 , Cheongho Han3,15 , Andrzej Udalski4,16 , Andrew Gould1,5,6,15, Jennifer C. Yee7,15 and Michael D. Albrow8 , Sun-Ju Chung1,2 , Kyu-Ha Hwang1 , Yoon-Hyun Ryu1 , In-Gu Shin1 , Yossi Shvartzvald9 , Wei Zhu10 , Weicheng Zang11 , Sang-Mok Cha1,12, Dong-Jin Kim1, Hyoun-Woo Kim1 , Seung-Lee Kim1,2 , Chung-Uk Lee1,2 , Dong-Joo Lee1, Yongseok Lee1,12, Byeong-Gon Park1,2 , Richard W. Pogge5 (The KMTNet Collaboration), and Przemek Mróz4,13 , Michał K. Szymański4 , Jan Skowron4 , Radek Poleski4,5, Igor Soszyński4 , Paweł Pietrukowicz4 , Szymon Kozłowski4 , Krzystof Ulaczyk14 , Krzysztof A. Rybicki4, Patryk Iwanek4 , and Marcin Wrona4 (The OGLE Collaboration) 1 Korea Astronomy and Space Science Institute, Daejon 34055, Republic of Korea 2 University of Science and Technology, Korea, 217 Gajeong-ro Yuseong-gu, Daejeon 34113, Korea 3 Department of Physics, Chungbuk National University, Cheongju 28644, Republic of Korea 4 Warsaw University Observatory, Al. Ujazdowskie 4, 00-478 Warszawa, Poland 5 Department of Astronomy, Ohio State University, 140 W. 18th Ave., Columbus, OH 43210, USA 6 Max-Planck-Institute for Astronomy, Königstuhl 17, D-69117 Heidelberg, Germany 7 Center for Astrophysics|Harvard & Smithsonian, 60 Garden St., Cambridge, MA 02138, USA 8 University of Canterbury, Department of Physics and Astronomy, Private Bag 4800, Christchurch 8020, New Zealand 9 Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot 76100, Israel 10 Canadian Institute for Theoretical Astrophysics, University of Toronto, 60 St. -
Bruce Winstein 1943–2011
Bruce Winstein 1943–2011 A Biographical Memoir by Melvyn J. Shochet and Michael S. Turner ©2016 National Academy of Sciences. Any opinions expressed in this memoir are those of the authors and do not necessarily reflect the views of the National Academy of Sciences. BRUCE daRRELL WINSTEIN September 25, 1943–February 28, 2011 Elected to the NAS, 1995 Bruce D. Winstein began his career as an experimental high-energy physicist and became renowned for making the most precise measurements of CP (“charge parity”) violation in the neutral K meson system. His results illu- minated the tiny asymmetry between matter and anti- matter that is essential for the existence of matter in the universe. He was associated with the University of Chicago from 1972 until his death in 2011, first as a senior research associate and finally as the Samuel K. Allison Distinguished Service Professor. Late in his career Winstein became a cosmologist, focusing on the polar- ization of the cosmic microwave background (CMB) radiation. Bringing to cosmology the techniques from By Melvyn J. Shochet high-energy physics, he made highly accurate measure- and Michael S. Turner ments of CMB polarization. Winstein was also instru- mental in establishing the Kavli Institute for Cosmo- logical Physics at the University of Chicago. Outside of physics, he was an avid fan of avant-garde film, twice teaching a course on the films of Michelangelo Antonioni. Early years Bruce was born in Los Angeles, CA, to Saul and Sylvia Winstein. His father was a distinguished physical organic chemist, elected to the National Academy of Sciences in 1955 and a faculty member at UCLA from 1941 until his death in 1969. -
Mathematics People
NEWS Mathematics People “In 1972, Rainer Weiss wrote down in an MIT report his Weiss, Barish, and ideas for building a laser interferometer that could detect Thorne Awarded gravitational waves. He had thought this through carefully and described in detail the physics and design of such an Nobel Prize in Physics instrument. This is typically called the ‘birth of LIGO.’ Rai Weiss’s vision, his incredible insights into the science and The Royal Swedish Academy of Sci- challenges of building such an instrument were absolutely ences has awarded the 2017 Nobel crucial to make out of his original idea the successful Prize in Physics to Rainer Weiss, experiment that LIGO has become. Barry C. Barish, and Kip S. Thorne, “Kip Thorne has done a wealth of theoretical work in all of the LIGO/Virgo Collaboration, general relativity and astrophysics, in particular connected for their “decisive contributions to with gravitational waves. In 1975, a meeting between the LIGO detector and the observa- Rainer Weiss and Kip Thorne from Caltech marked the tion of gravitational waves.” Weiss beginning of the complicated endeavors to build a gravi- receives one-half of the prize; Barish tational wave detector. Rai Weiss’s incredible insights into and Thorne share one-half. the science and challenges of building such an instrument Rainer Weiss combined with Kip Thorne’s theoretical expertise with According to the prize citation, gravitational waves, as well as his broad connectedness “LIGO, the Laser Interferometer with several areas of physics and funding agencies, set Gravitational-Wave Observatory, is the path toward a larger collaboration. -
Nobel Laureate Kip Thorne, Nobel Prize 2017. LIGO and Gravitational
Abstract: My 60 Year Romance with the Warped Side of the Universe - And What It Has Taught Me about Physics Education Already in the 1950s and 60s, when I was a student, Einstein’s general relativity theory suggested that there might be a “warped side” of our universe: objects and phenomena made not from matter, but from warped spacetime. These include, among others, black holes, wormholes, backward time travel, gravitational waves, and the big-bang birth of the universe. I have devoted most of my career to exploring this warped side through theory and computer simulations, and to developing plans and technology for exploring the warped side observationally, via gravitational waves. Most of my classroom teaching, mentoring, writing, and outreach to nonscientists, has revolved around the warped side; and from this I have developed some strong views about physics education. In this talk I will discuss those views, in the context of personal anecdotes about my warped-side research, teaching, mentoring, writing, and outreach. Bio: Kip Thorne was born in 1940 in Logan, Utah, USA, and is currently the Feynman Professor of Theoretical Physics, Emeritus at the California Institute of Technology (Caltech). From 1967 to 2009, he led a Caltech research group working in relativistic astrophysics and gravitational physics, with emphasis on relativistic stars, black holes, and especially gravitational waves. Fifty three students received their PhD’s under his mentorship, and he mentored roughly sixty postdoctoral students. He co-authored the textbooks Gravitation (1973, with Charles Misner and John Archibald Wheeler) and Modern Classical Physics (2017, with Roger Blandford), and was sole author of Black Holes and Time Warps: Einstein’s Outrageous Legacy. -
Astrophysical Applications of Gravitational Microlensing in the Milky
ASTROPHYSICAL APPLICATIONS OF GRAVITATIONAL MICROLENSING IN THE MILKY WAY Przemysław Mróz Ph.D. thesis written under the supervision of prof. dr hab. Andrzej Udalski Warsaw University Observatory Warsaw, April 2019 Acknowledgements First and foremost, I would like to thank my supervisor, Prof. Andrzej Udalski, for the encouragement and advice he has provided throughout my time as his student. I have been extraordinarily lucky to have the supervisor who gave me immeasurable amount of his time, as a researcher and a mentor. This dissertation would not be possible without the sheer amount of work from all members of the OGLE team and their time spent at Cerro Las Campanas. In particular, I would like to thank Prof. Michał Szymanski,´ Prof. Igor Soszynski,´ Łukasz Wyrzykowski, Paweł Pietrukowicz, Szymon Kozłowski, Radek Poleski, and Jan Skowron, who have helped me since my very first steps at the Warsaw University Observatory. I thank all my collegues from the Warsaw Observatory for many helpful discussions and support. I am also grateful to Andrew Gould, Takahiro Sumi, and Yossi Shvartzvald, who shared the photometric data that are a part of this thesis. I thank Calen Henderson and all Pasadena-based microlensers for their hospitality during my stay at Caltech. I also thank my family for their support in my effort to pursue my chosen field of astronomy. I acknowledge financial support from the Polish Ministry of Science and Higher Education (“Diamond Grant” number DI2013/014743), the Foundation for Polish Science (Program START), and the National Science Center, Poland (grant ETIUDA 2018/28/T/ST9/00096). I also received support from the European Research Council grant No. -
Lorentz Lectures: Gravitational Waves
The Warped Side of the Universe Kip Thorne Colloquium Ehrenfestii , University of Leiden, 16 Sept 2009 Lorentz Lectures: Gravitational Waves Understandable without prior knowledge of general relativity But knowledge of general relativity will help Slides available (pdf) late Thursday nights at http://www.its.caltech.edu/~kip/LorentzLectures/ 2 Phenomena and objects Made from warped space and time 3 Black Holes 4 Black Holeʼs Spacetime Geometry Curvature of Space Rotational Motion of Space Warping of Time 2 2 2 2 2 2 2 ds = grrdr +gθθ dθ +gφφ (d φ - ω dt) - α dt space curvature space rotation time warp 3-metric shift function lapse function 5 Kerr Metric Map of spacetime geometry for fast spinning hole a/M=0.998 Rate of Time flow 6 Other Examples • The Big Bang Singularity • Our Universe as a Brane in a . higher-dimensional bulk • Cosmic String C/R = 2π(1-4Gµ/c2) • Singularity inside a black hole • Naked Singularity • Wormhole • Gravitational Waves 7 Other Examples WHICH ARE REAL? WHAT ELSE? 8 Probing the Warped Side: Tools What kinds of objects might exist? » General Relativity Theory – Progress has slowed… » Numerical Relativity – Exciting new era… LIGO – Part 1 of Colloquium What kinds of objects do exist? » Electromagnetic observations –Limited information » Gravitational-Wave observations LISA –Ideal tool for probing the . Warped Side –Part 2 of Colloquium 9 Part 1 Numerical Relativity 10 The “Holy Grail”: Collisions of Black Holes - The most violent events in the Universe ~ 10 % of holes’ mass is converted to radiation [contrast with nuclear fusion: < 0.5 %] GW Luminosity ~ 0.1 Mc2 /(100 GM/c3) 2 24 4 =0.001 c /G ~ 10 Lsun ~ 10 LEM universe No Electromagnetic Waves emitted whatsoever - except from, e.g. -
William A. Hiscock Michio Kaku Gordon Kane J-M Wersinger
WILLIAM A. HISCOCK From Wormholes to the Warp Drive: Using Theoretical Physics to Place Ultimate Bounds on Technology MICHIO KAKU M-Theory: Mother of All Superstrings GORDON KANE Anthropic Questions Peering into the Universe: Images from the Hubble Space Telescope J-M WERSINGER The National Space Grant Student Satellite Program: Crawl, Walk, Run, Fly! The Honor Society of Phi Kappa Phi was founded in 1897 and became a national organization Board of Directors through the efforts of the presidents of three state Wendell H. McKenzie, PhD universities. Its primary objective has been from National President the first the recognition and encouragement of Dept. of Genetics superior scholarship in all fields of study. Good Box 7614 NCSU character is an essential supporting attribute for Raleigh, NC 27695 those elected to membership. The motto of the Paul J. Ferlazzo, PhD Society is philosophia krateit¯oph¯ot¯on, which is National President-Elect freely translated as “Let the love of learning rule Northern Arizona University Phi Kappa Phi Forum Staff humanity.” Dept. of English, Bx 6032 Flagstaff, AZ 86011 Editor: JAMES P. KAETZ Donna Clark Schubert National Vice President Associate Editors: Troy State University Phi Kappa Phi encourages and recognizes aca- 101 C Wallace Hall STEPHANIE J. BOND demic excellence through several national pro- Troy, AL 36082 LAURA J. KLOBERG grams. Its flagship National Fellowship Program now awards more than $460,000 each year to Neil R. Luebke, PhD Copy Editor: student members for the first year of graduate Past President 616 W. Harned Ave. AMES ARRS study. In addition, the Society funds Study J T.