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Aspects of Black Hole Physics
Aspects of Black Hole Physics Andreas Vigand Pedersen The Niels Bohr Institute Academic Advisor: Niels Obers e-mail: [email protected] Abstract: This project examines some of the exact solutions to Einstein’s theory, the theory of linearized gravity, the Komar definition of mass and angular momentum in general relativity and some aspects of (four dimen- sional) black hole physics. The project assumes familiarity with the basics of general relativity and differential geometry, but is otherwise intended to be self contained. The project was written as a ”self-study project” under the supervision of Niels Obers in the summer of 2008. Contents Contents ..................................... 1 Contents ..................................... 1 Preface and acknowledgement ......................... 2 Units, conventions and notation ........................ 3 1 Stationary solutions to Einstein’s equation ............ 4 1.1 Introduction .............................. 4 1.2 The Schwarzschild solution ...................... 6 1.3 The Reissner-Nordstr¨om solution .................. 18 1.4 The Kerr solution ........................... 24 1.5 The Kerr-Newman solution ..................... 28 2 Mass, charge and angular momentum (stationary spacetimes) 30 2.1 Introduction .............................. 30 2.2 Linearized Gravity .......................... 30 2.3 The weak field approximation .................... 35 2.3.1 The effect of a mass distribution on spacetime ....... 37 2.3.2 The effect of a charged mass distribution on spacetime .. 39 2.3.3 The effect of a rotating mass distribution on spacetime .. 40 2.4 Conserved currents in general relativity ............... 43 2.4.1 Komar integrals ........................ 49 2.5 Energy conditions ........................... 53 3 Black holes ................................ 57 3.1 Introduction .............................. 57 3.2 Event horizons ............................ 57 3.2.1 The no-hair theorem and Hawking’s area theorem .... -
Barber Middle School Accelerated Reader Quiz List Book Interest Quiz No
BARBER MIDDLE SCHOOL ACCELERATED READER QUIZ LIST BOOK INTEREST QUIZ NO. TITLE AUTHOR LEVEL LEVEL POINTS 124151 13 Brown, Jason Robert 4.1 MG 5.0 87689 47 Mosley, Walter 5.3 MG 8.0 5976 1984 Orwell, George 8.9 UG 17.0 78958 (Short) Story of My Life, The Jones, Jennifer B. 4.0 MG 3.0 77482 ¡Béisbol! Latino Baseball Pioneers and Legends (English) Winter, Jonah 5.6 LG 1.0 9611 ¡Lo encontramos debajo del fregadero! Stine, R.L. 3.1 MG 2.0 9625 ¡No bajes al sótano! Stine, R.L. 3.9 MG 3.0 69346 100 Artists Who Changed the World Krystal, Barbara 9.7 UG 9.0 69347 100 Leaders Who Changed the World Paparchontis, Kathleen 9.8 UG 9.0 69348 100 Military Leaders Who Changed the World Crompton, Samuel Willard 9.1 UG 9.0 122464 121 Express Polak, Monique 4.2 MG 2.0 74604 13: Thirteen Stories...Agony and Ecstasy of Being Thirteen Howe, James 5.0 MG 9.0 53617 1621: A New Look at Thanksgiving Grace/Bruchac 7.1 MG 1.0 66779 17: A Novel in Prose Poems Rosenberg, Liz 5.0 UG 4.0 80002 19 Varieties of Gazelle: Poems of the Middle East Nye, Naomi Shihab 5.8 UG 2.0 44511 1900-10: New Ways of Seeing Gaff, Jackie 7.7 MG 1.0 53513 1900-20: Linen & Lace Mee, Sue 7.3 MG 1.0 56505 1900-20: New Horizons (20th Century-Music) Hayes, Malcolm 8.4 MG 1.0 62439 1900-20: Print to Pictures Parker, Steve 7.3 MG 1.0 44512 1910-20: The Birth of Abstract Art Gaff, Jackie 7.6 MG 1.0 44513 1920-40: Realism and Surrealism Gaff, Jackie 8.3 MG 1.0 44514 1940-60: Emotion and Expression Gaff, Jackie 7.9 MG 1.0 36116 1940s from World War II to Jackie Robinson, The Feinstein, Stephen 8.3 -
Boston Symphony Orchestra Concert Programs, Summer, 2001, Tanglewood
SEMI OIAWA MUSIC DIRECTOR BERNARD HAITINK PRINCIPAL GUEST CONDUCTOR • i DALE CHIHULY INSTALLATIONS AND SCULPTURE / "^ik \ *t HOLSTEN GALLERIES CONTEMPORARY GLASS SCULPTURE ELM STREET, STOCKBRIDGE, MA 01262 . ( 41 3.298.3044 www. holstenga I leries * Save up to 70% off retail everyday! Allen-Edmoi. Nick Hilton C Baccarat Brooks Brothers msSPiSNEff3svS^:-A Coach ' 1 'Jv Cole-Haan v2^o im&. Crabtree & Evelyn OB^ Dansk Dockers Outlet by Designs Escada Garnet Hill Giorgio Armani .*, . >; General Store Godiva Chocolatier Hickey-Freeman/ "' ft & */ Bobby Jones '.-[ J. Crew At Historic Manch Johnston & Murphy Jones New York Levi's Outlet by Designs Manchester Lion's Share Bakery Maidenform Designer Outlets Mikasa Movado Visit us online at stervermo OshKosh B'Gosh Overland iMrt Peruvian Connection Polo/Ralph Lauren Seiko The Company Store Timberland Tumi/Kipling Versace Company Store Yves Delorme JUh** ! for Palais Royal Phone (800) 955 SHOP WS »'" A *Wtev : s-:s. 54 <M 5 "J* "^^SShfcjiy ORIGINS GAUCftV formerly TRIBAL ARTS GALLERY, NYC Ceremonial and modern sculpture for new and advanced collectors Open 7 Days 36 Main St. POB 905 413-298-0002 Stockbridge, MA 01262 Seiji Ozawa, Music Director Ray and Maria Stata Music Directorship Bernard Haitink, Principal Guest Conductor One Hundred and Twentieth Season, 2000-2001 SYMPHONY HALL CENTENNIAL SEASON Trustees of the Boston Symphony Orchestra, Inc. Peter A. Brooke, Chairman Dr. Nicholas T. Zervas, President Julian Cohen, Vice-Chairman Harvey Chet Krentzman, Vice-Chairman Deborah B. Davis, Vice-Chairman Vincent M. O'Reilly, Treasurer Nina L. Doggett, Vice-Chairman Ray Stata, Vice-Chairman Harlan E. Anderson John F. Cogan, Jr. Edna S. -
Legal "Black Hole"? Extraterritorial State Action and International Treaty Law on Civil and Political Rights
Michigan Journal of International Law Volume 26 Issue 3 2005 Legal "Black Hole"? Extraterritorial State Action and International Treaty Law on Civil and Political Rights Ralph Wilde University of London Follow this and additional works at: https://repository.law.umich.edu/mjil Part of the Human Rights Law Commons, Military, War, and Peace Commons, and the National Security Law Commons Recommended Citation Ralph Wilde, Legal "Black Hole"? Extraterritorial State Action and International Treaty Law on Civil and Political Rights, 26 MICH. J. INT'L L. 739 (2005). Available at: https://repository.law.umich.edu/mjil/vol26/iss3/1 This Article is brought to you for free and open access by the Michigan Journal of International Law at University of Michigan Law School Scholarship Repository. It has been accepted for inclusion in Michigan Journal of International Law by an authorized editor of University of Michigan Law School Scholarship Repository. For more information, please contact [email protected]. LEGAL "BLACK HOLE"? EXTRATERRITORIAL STATE ACTION AND INTERNATIONAL TREATY LAW ON CIVIL AND POLITICAL RIGHTSt Ralph Wilde* I. INTRODUCTION ......................................................................... 740 II. EXTRATERRITORIAL STATE ACTIVITIES ................................... 741 III. THE NEED FOR GREATER SCRUTINY ........................................ 752 A. Ignoring ExtraterritorialActivity ...................................... 753 B. GreaterRisks of Rights Violations in the ExtraterritorialContext .................................................... -
Studies in Plains Indian Folklore
STUDIES IN PLAINS INDIAN FOLKLORE BY ROBERT H. LOWIE UNIVERSITY OF CALIFORNIA PUBLICATIONS IN AMERICAN ARCHAEOLOGY AND ETHNOLOGY Volume 40, No. 1, pp. 1-28 UNIYERSITY OF CALIFORNIA PRESS BERKELEY AND LOS ANGELES 1942 UNIVERSITY OF CALIFORNIA PUBLICATIONS IN AmERICAN ARCHAEOLOGY AND ETHNOLOGY EDIToRtS: A. L. KROEBER, R. H. LowI, T. D. MOCOWN, R. L. OLSON Volume 40, No. 1, pp. 1-28 Submitted by editors September 4, 1940 Issued April 23, 1942 Price, 35 cents UNIVERSITY OF CALIFORNIA PRESS BERKELEY, CALIFORNI CAMBRIDGE UNIVERSITY PRESS LONDON, ENGLAND PRINTED IN THE UNITED STATES OF AMERICA STUDIES IN PLAINS INDIAN FOLKLORE BY ROBERT H. LOWIE INTRODUCTION IN THE SUMMER Of 1910 and 1911 I visited the Hidatsa and Mandan at Fort Berthold Reservation in North Dakota, my primary object being the study of their age societies for the American Museum of Natural History. During one of these sojourns I obtained from Wolf-chief the following version of the Grandson myth, Englished by Good-bird, which presents several points of theoretical interest. About twenty years later Professor Beckwith visited the same tribes, procuring a very full version of the story from Bear's-arm and some fragmentary data from Arthur Mandan.' In addition there are six pub- lished Crow versions,2 as well as two unpublished ones in my possession; the fullest of my variants has appeared in English and is now available in the original. The present purpose is not to present a complete comparative study, which would inevitably merge in a consideration of the Lodge Boy and Spring Boy cycle, and thence of the Twin myths of the New World, but rather to concen- trate on immediately relevant comparative material and, through it, gain light on the processes of differentiation. -
Mapping Prostitution: Sex, Space, Taxonomy in the Fin- De-Siècle French Novel
Mapping Prostitution: Sex, Space, Taxonomy in the Fin- de-Siècle French Novel The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters Citation Tanner, Jessica Leigh. 2013. Mapping Prostitution: Sex, Space, Taxonomy in the Fin-de-Siècle French Novel. Doctoral dissertation, Harvard University. Citable link http://nrs.harvard.edu/urn-3:HUL.InstRepos:10947429 Terms of Use This article was downloaded from Harvard University’s DASH repository, WARNING: This file should NOT have been available for downloading from Harvard University’s DASH repository. Mapping Prostitution: Sex, Space, Taxonomy in the Fin-de-siècle French Novel A dissertation presented by Jessica Leigh Tanner to The Department of Romance Languages and Literatures in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the subject of Romance Languages and Literatures Harvard University Cambridge, Massachusetts May 2013 © 2013 – Jessica Leigh Tanner All rights reserved. Dissertation Advisor: Professor Janet Beizer Jessica Leigh Tanner Mapping Prostitution: Sex, Space, Taxonomy in the Fin-de-siècle French Novel Abstract This dissertation examines representations of prostitution in male-authored French novels from the later nineteenth century. It proposes that prostitution has a map, and that realist and naturalist authors appropriate this cartography in the Second Empire and early Third Republic to make sense of a shifting and overhauled Paris perceived to resist mimetic literary inscription. Though always significant in realist and naturalist narrative, space is uniquely complicit in the novel of prostitution due to the contemporary policy of reglementarism, whose primary instrument was the mise en carte: an official registration that subjected prostitutes to moral and hygienic surveillance, but also “put them on the map,” classifying them according to their space of practice (such as the brothel or the boulevard). -
Scholarly Program Notes on the Graduate Vocal Recital of Madalyn Mentor Madalyn W
Southern Illinois University Carbondale OpenSIUC Research Papers Graduate School Spring 4-12-2013 Scholarly Program Notes on the Graduate Vocal Recital of Madalyn Mentor Madalyn W. Mentor Southern Illinois University Carbondale, [email protected] Follow this and additional works at: http://opensiuc.lib.siu.edu/gs_rp Recommended Citation Mentor, Madalyn W., "Scholarly Program Notes on the Graduate Vocal Recital of Madalyn Mentor" (2013). Research Papers. Paper 393. http://opensiuc.lib.siu.edu/gs_rp/393 This Article is brought to you for free and open access by the Graduate School at OpenSIUC. It has been accepted for inclusion in Research Papers by an authorized administrator of OpenSIUC. For more information, please contact [email protected]. SCHOLARLY PROGRAM NOTES ON THE GRADUATE VOCAL RECITAL OF MADALYN MENTOR by Madalyn Mentor B.A., Berea College, 2011 A Research Paper Submitted in Partial Fulfillment of the Requirements for the Master of Music School of Music Southern Illinois University Carbondale May 2013 RESEARCH PAPER APPROVAL SCHOLARLY PROGRAM NOTES ON THE GRADUATE VOCAL RECITAL OF MADALYN MENTOR By Madalyn Mentor A Research Paper Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Music in the field of Vocal Performance Approved by: Dr. Jeanine Wagner, Chair Dr. Susan Davenport Dr. Paul Transue Graduate School Southern Illinois University Carbondale April 12, 2013 AN ABSTRACT OF THE RESEARCH PAPER OF MADALYN MENTOR, for the Master of Music degree in VOCAL PERFORMANCE, presented on April 12, 2013, at Southern Illinois University Carbondale. TITLE: SCHOLARLY PROGRAM NOTES FOR THE GRADUATE VOCAL RECITAL OF MADALYN MENTOR MAJOR PROFESSOR: Dr. -
An Annotated List of Fantasy Novels Incorporating Tarot (1990-2005)
Volume 38 Number 2 Article 12 5-15-2020 An Annotated List of Fantasy Novels Incorporating Tarot (1990-2005) Emily E. Auger Independent Scholar Follow this and additional works at: https://dc.swosu.edu/mythlore Part of the Children's and Young Adult Literature Commons Recommended Citation Auger, Emily E. (2020) "An Annotated List of Fantasy Novels Incorporating Tarot (1990-2005)," Mythlore: A Journal of J.R.R. Tolkien, C.S. Lewis, Charles Williams, and Mythopoeic Literature: Vol. 38 : No. 2 , Article 12. Available at: https://dc.swosu.edu/mythlore/vol38/iss2/12 This Notes and Letters is brought to you for free and open access by the Mythopoeic Society at SWOSU Digital Commons. It has been accepted for inclusion in Mythlore: A Journal of J.R.R. Tolkien, C.S. Lewis, Charles Williams, and Mythopoeic Literature by an authorized editor of SWOSU Digital Commons. An ADA compliant document is available upon request. For more information, please contact [email protected]. To join the Mythopoeic Society go to: http://www.mythsoc.org/join.htm Mythcon 51: A VIRTUAL “HALFLING” MYTHCON July 31 - August 1, 2021 (Saturday and Sunday) http://www.mythsoc.org/mythcon/mythcon-51.htm Mythcon 52: The Mythic, the Fantastic, and the Alien Albuquerque, New Mexico; July 29 - August 1, 2022 http://www.mythsoc.org/mythcon/mythcon-52.htm Abstract This annotated list of books from 1990 through 2005 continues the bibliography in Mythlore 36.2 (Spring- Summer 2018) and includes abstracts for each novel or series and some card layout diagrams. Additional Keywords Fantasy literature—Bibliography; Tarot in literature This notes and letters is available in Mythlore: A Journal of J.R.R. -
Y A-T-Il Encore De La Place En Bas ? Le Paysage Contemporain Des Nanosciences Et Des Nanotechnologies
Philosophia Scientiæ Travaux d'histoire et de philosophie des sciences 23-1 | 2019 Y a-t-il encore de la place en bas ? Le paysage contemporain des nanosciences et des nanotechnologies Jonathan Simon et Bernadette Bensaude-Vincent (dir.) Édition électronique URL : http://journals.openedition.org/philosophiascientiae/1693 DOI : 10.4000/philosophiascientiae.1693 ISSN : 1775-4283 Éditeur Éditions Kimé Édition imprimée Date de publication : 18 février 2019 ISSN : 1281-2463 Référence électronique Jonathan Simon et Bernadette Bensaude-Vincent (dir.), Philosophia Scientiæ, 23-1 | 2019, « Y a-t-il encore de la place en bas ? » [En ligne], mis en ligne le 01 janvier 2021, consulté le 30 mars 2021. URL : http://journals.openedition.org/philosophiascientiae/1693 ; DOI : https://doi.org/10.4000/ philosophiascientiae.1693 Tous droits réservés Y a-t-il encore de la place en bas ? Le paysage contemporain des nanosciences et des nanotechnologies Introduction. Nanotechnoscience: The End of the Beginning Bernadette Bensaude-Vincent Université Paris 1 Panthéon-Sorbonne (France) Jonathan Simon Archives Henri-Poincaré – Philosophie et Recherches sur les Sciences et les Technologies (AHP-PReST), Université de Lorraine, Université de Strasbourg, CNRS, Nancy (France) Is there still room at the bottom? The question providing the theme for the present issue of Philosophia Scientiæ is, of course, adapted from Richard Feynman’s well-known speech at the 1959 meeting of the American Physical Society. On this occasion he attracted physicists’ attention to the vast potential of working at the scale of the nanometre if not the ångström, using the catchy title: “Plenty of Room at the Bottom” [Feynman 1959]. This hookline from a famous Nobel laureate physicist served as a motto for the emerging field of nanoscience and nanotechnology (which we will here abbreviate to nanoresearch) in the early 2000s. -
On the Hunt for Excited States
INTERNATIONAL JOURNAL OF HIGH-ENERGY PHYSICS CERN COURIER VOLUME 45 NUMBER 10 DECEMBER 2005 On the hunt for excited states HOMESTAKE DARK MATTER SNOWMASS Future assured for Galactic gamma rays US workshop gets underground lab p5 may hold the key p 17 ready for the ILC p24 www.vectorfields.comi Music to your ears 2D & 3D electromagnetic modellinj If you're aiming for design excellence, demanding models. As a result millions you'll be pleased to hear that OPERA, of elements can be solved in minutes, the industry standard for electromagnetic leaving you to focus on creating modelling, gives you the most powerful outstanding designs. Electron trajectories through a TEM tools for engineering and scientific focussing stack analysis. Fast, accurate model analysis • Actuators and sensors - including Designed for parameterisation and position and NDT customisation, OPERA is incredibly easy • Magnets - ppm accuracy using TOSCA to use and has an extensive toolset, making • Electron devices - space charge analysis it ideal for a wide range of applications. including emission models What's more, its high performance analysis • RF Cavities - eigen modes and single modules work at exceptional levels of speed, frequency response accuracy and stability, even with the most • Motors - dynamic analysis including motion Don't take our word for it - order your free trial and check out OPERA yourself. B-field in a PMDC motor Vector Fields Ltd Culham Science Centre, Abingdon, Oxon, 0X14 3ED, U.K. Tel: +44 (0)1865 370151 Fax: +44 (0)1865 370277 Email: [email protected] Vector Fields Inc 1700 North Famsworth Avenue, Aurora, IL, 60505. -
Deleuze and the Animal
DELEUZE CONNECTIONS Series Editor: Ian Buchanan DELEUZE CONNECTIONS ‘This book offers us a variety of perspectives both on the animals that we are, and on the animals that we will never be able to know or to become. It is a timely reminder of the Deleuze many processes and relations linking us to the “buzzing, blooming confusion” around us.’ Steven Shaviro, Wayne State University Deleuze and Explores the relationship between Deleuze and the concept of and the the animal in philosophy, aesthetics and ethics This is the first volume to address the animal in Deleuze’s work, despite becoming-animal the Animal being a key concept for Deleuze and Guattari. It shows the ambiguous idea of the animal as human and nonhuman life infiltrating all of Deleuze’s work. Animal In these 16 chapters Deleuze’s entire oeuvre is used in analysing television, film, music, art, drunkenness, mourning, virtual technology, protest, activism, animal rights and abolition. Each chapter questions the premise of the animal and critiques the centrality of the human. This collection creates new questions about what the age of the anthropocene means by Edited by Colin Gardner and Patricia MacCormack ‘animal’ and analyses and explores examples of the unclear boundaries between human and animal. Colin Gardner is Professor of Critical Theory and Integrative Studies at the University of California, Santa Barbara. Patricia MacCormack is Professor of Continental Philosophy at Anglia Ruskin University. Cover design: riverdesign.co.uk ISBN 978-1-4744-2274-1 Edinburgh 9781474 422741 Edited by Colin Gardner and Patricia MacCormack Deleuze and the Animal Deleuze Connections ‘It is not the elements or the sets which define the multiplicity. -
West Copper River Delta Landscape Assessment Cordova Ranger District Chugach National Forest 03/18/2003 Updated 04/19/2007
West Copper River Delta Landscape Assessment Cordova Ranger District Chugach National Forest 03/18/2003 updated 04/19/2007 Copper River Delta – circa 1932 – photo courtesy of Perry Davis Team: Susan Kesti - Team Leader, writer-editor, vegetation Milo Burcham – Wildlife resources, Subsistence Bruce Campbell – Lands, Special Uses Dean Davidson – Soils, Geology Rob DeVelice – Succession, Ecology Carol Huber – Minerals, Geology, Mining Tim Joyce – Fish subsistence Dirk Lang – Fisheries Bill MacFarlane – Hydrology, Water Quality Dixon Sherman – Recreation Linda Yarborough – Heritage Resources Table of Contents Executive Summary...........................................................................................vi Chapter 1 – Introduction ....................................................................................1 Purpose.............................................................................................................1 The Analysis Area .............................................................................................1 Legislative History .............................................................................................3 Relationship to the revised Chugach Land and Resource Management Plan...4 Chapter 2 – Analysis Area Description .............................................................7 Physical Characteristics ....................................................................................7 Location .........................................................................................................7