Event Horizon Telescope: the Black Hole Seen Round the World
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
A Mathematical Derivation of the General Relativistic Schwarzschild
A Mathematical Derivation of the General Relativistic Schwarzschild Metric An Honors thesis presented to the faculty of the Departments of Physics and Mathematics East Tennessee State University In partial fulfillment of the requirements for the Honors Scholar and Honors-in-Discipline Programs for a Bachelor of Science in Physics and Mathematics by David Simpson April 2007 Robert Gardner, Ph.D. Mark Giroux, Ph.D. Keywords: differential geometry, general relativity, Schwarzschild metric, black holes ABSTRACT The Mathematical Derivation of the General Relativistic Schwarzschild Metric by David Simpson We briefly discuss some underlying principles of special and general relativity with the focus on a more geometric interpretation. We outline Einstein’s Equations which describes the geometry of spacetime due to the influence of mass, and from there derive the Schwarzschild metric. The metric relies on the curvature of spacetime to provide a means of measuring invariant spacetime intervals around an isolated, static, and spherically symmetric mass M, which could represent a star or a black hole. In the derivation, we suggest a concise mathematical line of reasoning to evaluate the large number of cumbersome equations involved which was not found elsewhere in our survey of the literature. 2 CONTENTS ABSTRACT ................................. 2 1 Introduction to Relativity ...................... 4 1.1 Minkowski Space ....................... 6 1.2 What is a black hole? ..................... 11 1.3 Geodesics and Christoffel Symbols ............. 14 2 Einstein’s Field Equations and Requirements for a Solution .17 2.1 Einstein’s Field Equations .................. 20 3 Derivation of the Schwarzschild Metric .............. 21 3.1 Evaluation of the Christoffel Symbols .......... 25 3.2 Ricci Tensor Components ................. -
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 .... -
Astro2020 APC White Paper Panel on Radio
Astro2020 APC White Paper Panel on Radio, Millimeter, and Submillimeter Observations from the Ground The Case for a Fully Funded Green Bank Telescope Brief Description [350 character limit]: The NSF has reduced its funding for peer-reviewed use on the GBT to ~3900 hours/year, 60% of available science time. This greatly increases the telescope pressure & fragments the schedule, making it very difficult to allocate time for even the highest rated projects planned for the next decade. Here we seek funding for 1500 more hours annually. Principal Author: K. O’Neil (Green Bank Observatory; [email protected]) Co-authors: Felix J Lockman (Green Bank Observatory), Filippo D'Ammando (INAF-IRA Bologna), Will Armentrout (Green Bank Observatory), Shami Chatterjee (Cornell University), Jim Cordes (Cornell University), Martin Cordiner (NASA GSFC), David Frayer (Green Bank Observatory), Luke Zoltan Kelley (Northwestern University), Natalia Lewandowska (West Virginia University), Duncan Lorimer (WVU), Brian Mason (NRAO), Maura McLaughlin (West Virginia University), Tony Mroczkowski (European Southern Observatory), Hooshang Nayyeri (UC Irvine), Eric Perlman (Florida Institute of Technology), Bindu Rani (NASA Goddard Space Flight Center), Dominik Riechers (Cornell University), Martin Sahlan (Uppsala University), Ian Stephens (CfA/SAO), Patrick Taylor (Lunar and Planetary Institute), Francisco Villaescusa- Navarro (Center for Computational Astrophysics, Flatiron Institute) Endosers: Esteban D. Araya (Western Illinois University), Hector Arce (Yale -
Passion for the Mission
Passion for the Mission Author: Javier Aguirregabiria Translated by: Father José Burgués Table of Contents I. PRESENTATION ........................................................................................................................... 1 1. A Proposal for the Beginning ............................................................................................ 1 FROM SILENCE .............................................................................................................................. 3 2. Logic of the Chapters ............................................................................................................. 3 For the Piarist and Those who Feel Piarist ............................................................................ 4 Mission as a Task ................................................................................................................... 4 II. WORK OF GOD AND OF CALASANZ ........................................................................................... 5 3. We Gratefully and Responsibly Accept this Gift ................................................................... 5 Poisoned Gift ......................................................................................................................... 6 Praying to God... .................................................................................................................... 6 4. It is You to Whom I am Calling ............................................................................................. -
Constraints on Black-Hole Charges with the 2017 EHT Observations of M87*
PHYSICAL REVIEW D 103, 104047 (2021) Constraints on black-hole charges with the 2017 EHT observations of M87* – Prashant Kocherlakota ,1 Luciano Rezzolla,1 3 Heino Falcke,4 Christian M. Fromm,5,6,1 Michael Kramer,7 Yosuke Mizuno,8,9 Antonios Nathanail,9,10 H´ector Olivares,4 Ziri Younsi,11,9 Kazunori Akiyama,12,13,5 Antxon Alberdi,14 Walter Alef,7 Juan Carlos Algaba,15 Richard Anantua,5,6,16 Keiichi Asada,17 Rebecca Azulay,18,19,7 Anne-Kathrin Baczko,7 David Ball,20 Mislav Baloković,5,6 John Barrett,12 Bradford A. Benson,21,22 Dan Bintley,23 Lindy Blackburn,5,6 Raymond Blundell,6 Wilfred Boland,24 Katherine L. Bouman,5,6,25 Geoffrey C. Bower,26 Hope Boyce,27,28 – Michael Bremer,29 Christiaan D. Brinkerink,4 Roger Brissenden,5,6 Silke Britzen,7 Avery E. Broderick,30 32 Dominique Broguiere,29 Thomas Bronzwaer,4 Do-Young Byun,33,34 John E. Carlstrom,35,22,36,37 Andrew Chael,38,39 Chi-kwan Chan,20,40 Shami Chatterjee,41 Koushik Chatterjee,42 Ming-Tang Chen,26 Yongjun Chen (陈永军),43,44 Paul M. Chesler,5 Ilje Cho,33,34 Pierre Christian,45 John E. Conway,46 James M. Cordes,41 Thomas M. Crawford,22,35 Geoffrey B. Crew,12 Alejandro Cruz-Osorio,9 Yuzhu Cui,47,48 Jordy Davelaar,49,16,4 Mariafelicia De Laurentis,50,9,51 – Roger Deane,52 54 Jessica Dempsey,23 Gregory Desvignes,55 Sheperd S. Doeleman,5,6 Ralph P. Eatough,56,7 Joseph Farah,6,5,57 Vincent L. -
Stephen Hawking: 'There Are No Black Holes' Notion of an 'Event Horizon', from Which Nothing Can Escape, Is Incompatible with Quantum Theory, Physicist Claims
NATURE | NEWS Stephen Hawking: 'There are no black holes' Notion of an 'event horizon', from which nothing can escape, is incompatible with quantum theory, physicist claims. Zeeya Merali 24 January 2014 Artist's impression VICTOR HABBICK VISIONS/SPL/Getty The defining characteristic of a black hole may have to give, if the two pillars of modern physics — general relativity and quantum theory — are both correct. Most physicists foolhardy enough to write a paper claiming that “there are no black holes” — at least not in the sense we usually imagine — would probably be dismissed as cranks. But when the call to redefine these cosmic crunchers comes from Stephen Hawking, it’s worth taking notice. In a paper posted online, the physicist, based at the University of Cambridge, UK, and one of the creators of modern black-hole theory, does away with the notion of an event horizon, the invisible boundary thought to shroud every black hole, beyond which nothing, not even light, can escape. In its stead, Hawking’s radical proposal is a much more benign “apparent horizon”, “There is no escape from which only temporarily holds matter and energy prisoner before eventually a black hole in classical releasing them, albeit in a more garbled form. theory, but quantum theory enables energy “There is no escape from a black hole in classical theory,” Hawking told Nature. Peter van den Berg/Photoshot and information to Quantum theory, however, “enables energy and information to escape from a escape.” black hole”. A full explanation of the process, the physicist admits, would require a theory that successfully merges gravity with the other fundamental forces of nature. -
CUASI NOMÁS INGLÉS: PROSODY at the CROSSROADS of SPANISH and ENGLISH in 20TH CENTURY NEW MEXICO Jackelyn Van Buren Doctoral Student, Linguistics
University of New Mexico UNM Digital Repository Linguistics ETDs Electronic Theses and Dissertations Fall 11-15-2017 CUASI NOMÁS INGLÉS: PROSODY AT THE CROSSROADS OF SPANISH AND ENGLISH IN 20TH CENTURY NEW MEXICO Jackelyn Van Buren Doctoral Student, Linguistics Follow this and additional works at: https://digitalrepository.unm.edu/ling_etds Part of the Anthropological Linguistics and Sociolinguistics Commons, and the Phonetics and Phonology Commons Recommended Citation Van Buren, Jackelyn. "CUASI NOMÁS INGLÉS: PROSODY AT THE CROSSROADS OF SPANISH AND ENGLISH IN 20TH CENTURY NEW MEXICO." (2017). https://digitalrepository.unm.edu/ling_etds/55 This Dissertation is brought to you for free and open access by the Electronic Theses and Dissertations at UNM Digital Repository. It has been accepted for inclusion in Linguistics ETDs by an authorized administrator of UNM Digital Repository. For more information, please contact [email protected]. Jackelyn Van Buren Candidate Linguistics Department This dissertation is approved, and it is acceptable in quality and form for publication: Approved by the Dissertation Committee: Dr. Chris Koops, Chairperson Dr. Naomi Lapidus Shin Dr. Caroline Smith Dr. Damián Vergara Wilson i CUASI NOMÁS INGLÉS: PROSODY AT THE CROSSROADS OF SPANISH AND ENGLISH IN 20TH CENTURY NEW MEXICO by JACKELYN VAN BUREN B.A., Linguistics, University of Utah, 2009 M.A., Linguistics, University of Montana, 2012 DISSERTATION Submitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Linguistics The University of New Mexico Albuquerque, New Mexico December 2017 ii Acknowledgments A dissertation is not written without the support of a community of peers and loved ones. Now that the journey has come to an end, and I have grown as a human and a scholar and a friend throughout this process (and have gotten married, become an aunt, bought a house, and gone through an existential crisis), I can reflect on the people who have been the foundation for every change I have gone through. -
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 .................................................... -
Mr. Jeffery Morehouse Executive Director, Bring Abducted Children Home and Father of a Child Kidnapped to Japan
Mr. Jeffery Morehouse Executive Director, Bring Abducted Children Home and Father of a Child Kidnapped to Japan House Foreign Affairs Committee Monday, December 10, 2018 Reviewing International Child Abduction Thank you to Chairman Smith and the committee for inviting me here to share my expertise and my personal experience on the ongoing crisis and crime of international parental child abduction in Japan. Japan is internationally known as a black hole for child abduction. There have been more than 400 U.S. children kidnapped to Japan since 1994. To date, the Government of Japan has not returned a single American child to an American parent. Bring Abducted Children Home is a nonprofit organization dedicated to the immediate return of internationally abducted children being wrongfully detained in Japan and strives to end Japan's human rights violation of denying children unfettered access to both parents. We also work with other organizations on the larger goal of resolving international parental child abduction worldwide. We are founding partners in The Coalition to End International Parental Child Abduction uniting organizations to work passionately to end international parental kidnapping of children through advocacy and public policy reform. At the beginning of this year The G7 Kidnapped to Japan Reunification Project formed as an international alliance of partners who are parents and organizations from several countries including Canada, France, Germany, Italy, Japan, the United Kingdom, and the United States. The objective is to bring about a rapid resolution to this crisis affecting the human rights of thousands of children abducted to or within Japan. Many Japanese citizens and officials have shared with me that they are deeply ashamed of these abductions and need help from the U.S. -
Longterm MWL Behavior of 1ES1959+650
Fakultät Physik – Experimentelle Physik 5 Long-term observations of the TeV blazar 1ES 1959+650 Temporal and spectral behavior in the multi-wavelength context Dissertation zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften (Dr. rer. nat.) vorgelegt von Dipl.-Phys. Michael Backes Dezember 2011 Contents 1 Introduction 1 2 Brief Introduction to Astroparticle Physics 3 2.1 ChargedCosmicRays .............................. 4 2.1.1 CompositionofCosmicRays . 4 2.1.2 EnergySpectrumofCosmicRays. 5 2.1.3 Sources of Cosmic Rays up to 1018 eV................ 6 ∼ 2.1.4 Sources of Cosmic Rays above 1018 eV................ 8 ∼ 2.2 AstrophysicalNeutrinos . ... 12 2.3 PhotonsfromOuterSpace. 13 2.3.1 Leptonic Processes: Connecting Low and High Energy Photons . 13 2.3.2 Hadronic Processes: Connecting Photons, Protons, and Neutrinos . 16 2.4 ActiveGalacticNuclei . 16 2.4.1 Blazars .................................. 17 2.4.2 EmissionModels ............................. 19 2.4.3 BinaryBlackHolesinAGN . 20 3 Instruments for Multi-Wavelength Astronomy 25 3.1 RadioandMicrowave .............................. 25 3.1.1 Single-DishInstruments . 25 3.1.2 Interferometers .............................. 26 3.1.3 Satellites ................................. 27 3.2 Infrared ...................................... 27 3.3 Optical ...................................... 28 3.3.1 Satellite-Born............................... 28 3.3.2 Ground-Based .............................. 28 3.4 Ultraviolet..................................... 29 3.5 X-Rays ..................................... -
Volunteer Handbook
VOLUNTEER MANUAL http://wku.edu/hardinplanetarium 270 – 745 – 4044 Volunteer Positions [email protected] [email protected] Audience Assistant 6 [email protected] mailing address: Tech Operator 10 1906 College Heights Blvd. Suspendisse aliquam mi Bowling Green, KY 42101-1077 placerat sem. Vestibulum mapping address: idProduction lorem commodo Assistant justo 12 1501 State Street, Bowling Green, KY euismod tristique. Suspendisse arcu libero, Mission: euismodPresenter sed, tempor id, 12 Hardin Planetarium’s mission is to inspire lifelong facilisis non, purus. learning through interactive experiences that are both Aenean ligula. inspiring and factually accurate. Our audiences will be Behind the Scenes 12 encouraged to engage with exhibits and live presentations that further the public understanding and enjoyment of science. Every member or our audience deserves to be treated with respect. We do everything possible to create Appendices an atmosphere where each person can enjoy her/himself and learn as much as possible. Set up / shut down 13 History: An iconic architectural landmark at Western Kentucky University, Hardin Planetarium was dedicated in October Star Stories set up 15 1967. The dome shaped building is 72-feet in diameter and 44 feet high. The interior includes two levels encompassing 6,000 square feet. The star chamber seats Emergency Procedures 16 over 100 spectators on upholstered benches arranged concentrically around the central projector system. Digitarium 16 The planetarium is named for Hardin Cherry Thompson quick-start guide [1938-1963], son of WKU president Kelly Thompson, who died during his senior year at the University. In 2012, audiences at Hardin Planetarium first enjoyed the power Volunteer Agreement 17 of full dome digital simulations, when the projection system was re-outfitted with a Digitalis Epsilon digital projector. -
Neutron-Star Merger Yields New Puzzle for Astrophysicists 18 January 2018
Neutron-star merger yields new puzzle for astrophysicists 18 January 2018 group led the new study. "This one is different; it's definitely not a simple, plain-Jane narrow jet." Cocoon theory The new data could be explained using more complicated models for the remnants of the neutron star merger. One possibility: the merger launched a jet that shock-heated the surrounding gaseous debris, creating a hot 'cocoon' around the jet that has glowed in X-rays and radio light for many This graphic shows the X-ray counterpart to the months. gravitational wave source GW170817, produced by the merger of two neutron stars. The left image is the sum of The X-ray observations jibe with radio-wave data observations with NASA's Chandra X-ray Observatory reported last month by another team of scientists, taken in late August and early Sept. 2017, and the right which found that those emissions from the collision image is the sum of Chandra observations taken in early also continued to brighten over time. Dec. 2017. The X-ray counterpart to GW170817 is shown to the upper left of its host galaxy, NGC 4993, located about 130 million light years from Earth. The While radio telescopes were able to monitor the counterpart has become about four times brighter over afterglow throughout the fall, X-ray and optical three months. GW170817 was first observed on Aug. 17, observatories were unable to watch it for around 2017. Credit: NASA/CXC/McGill/J.Ruan et al. three months, because that point in the sky was too close to the Sun during that period.