Gravitational Waves and Core-Collapse Supernovae
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Measurement of the Speed of Gravity
Measurement of the Speed of Gravity Yin Zhu Agriculture Department of Hubei Province, Wuhan, China Abstract From the Liénard-Wiechert potential in both the gravitational field and the electromagnetic field, it is shown that the speed of propagation of the gravitational field (waves) can be tested by comparing the measured speed of gravitational force with the measured speed of Coulomb force. PACS: 04.20.Cv; 04.30.Nk; 04.80.Cc Fomalont and Kopeikin [1] in 2002 claimed that to 20% accuracy they confirmed that the speed of gravity is equal to the speed of light in vacuum. Their work was immediately contradicted by Will [2] and other several physicists. [3-7] Fomalont and Kopeikin [1] accepted that their measurement is not sufficiently accurate to detect terms of order , which can experimentally distinguish Kopeikin interpretation from Will interpretation. Fomalont et al [8] reported their measurements in 2009 and claimed that these measurements are more accurate than the 2002 VLBA experiment [1], but did not point out whether the terms of order have been detected. Within the post-Newtonian framework, several metric theories have studied the radiation and propagation of gravitational waves. [9] For example, in the Rosen bi-metric theory, [10] the difference between the speed of gravity and the speed of light could be tested by comparing the arrival times of a gravitational wave and an electromagnetic wave from the same event: a supernova. Hulse and Taylor [11] showed the indirect evidence for gravitational radiation. However, the gravitational waves themselves have not yet been detected directly. [12] In electrodynamics the speed of electromagnetic waves appears in Maxwell equations as c = √휇0휀0, no such constant appears in any theory of gravity. -
A Brief History of Gravitational Waves
universe Review A Brief History of Gravitational Waves Jorge L. Cervantes-Cota 1, Salvador Galindo-Uribarri 1 and George F. Smoot 2,3,4,* 1 Department of Physics, National Institute for Nuclear Research, Km 36.5 Carretera Mexico-Toluca, Ocoyoacac, C.P. 52750 Mexico, Mexico; [email protected] (J.L.C.-C.); [email protected] (S.G.-U.) 2 Helmut and Ana Pao Sohmen Professor at Large, Institute for Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, 999077 Hong Kong, China 3 Université Sorbonne Paris Cité, Laboratoire APC-PCCP, Université Paris Diderot, 10 rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13, France 4 Department of Physics and LBNL, University of California; MS Bldg 50-5505 LBNL, 1 Cyclotron Road Berkeley, 94720 CA, USA * Correspondence: [email protected]; Tel.:+1-510-486-5505 Academic Editors: Lorenzo Iorio and Elias C. Vagenas Received: 21 July 2016; Accepted: 2 September 2016; Published: 13 September 2016 Abstract: This review describes the discovery of gravitational waves. We recount the journey of predicting and finding those waves, since its beginning in the early twentieth century, their prediction by Einstein in 1916, theoretical and experimental blunders, efforts towards their detection, and finally the subsequent successful discovery. Keywords: gravitational waves; General Relativity; LIGO; Einstein; strong-field gravity; binary black holes 1. Introduction Einstein’s General Theory of Relativity, published in November 1915, led to the prediction of the existence of gravitational waves that would be so faint and their interaction with matter so weak that Einstein himself wondered if they could ever be discovered. -
Gravitational Waves from Supernova Core Collapse Outline Max Planck Institute for Astrophysics, Garching, Germany
Gravitational Waves from Supernova Core Collapse Outline Max Planck Institute for Astrophysics, Garching, Germany Harald Dimmelmeier [email protected] Gravitational Waves from Supernova Core Collapse: What could the Signal tell us? Work done at the MPA in Garching Dimmelmeier, Font, M¨uller, Astron. Astrophys., 388, 917{935 (2002), astro-ph/0204288 Dimmelmeier, Font, M¨uller, Astron. Astrophys., 393, 523{542 (2002), astro-ph/0204289 Source Simulation Focus Session, Center for Gravitational Wave Physics, Penn State University, 2002 Gravitational Waves from Supernova Core Collapse Max Planck Institute for Astrophysics, Garching, Germany Motivation Physics of Core Collapse Supernovæ Physical model of core collapse supernova: Massive progenitor star (Mprogenitor 10 30M ) develops an iron core (Mcore 1:5M ). • ≈ − ≈ This approximate 4/3-polytrope becomes unstable and collapses (Tcollapse 100 ms). • ≈ During collapse, neutrinos are practically trapped and core contracts adiabatically. • At supernuclear density, hot proto-neutron star forms (EoS of matter stiffens bounce). • ) During bounce, gravitational waves are emitted; they are unimportant for collapse dynamics. • Hydrodynamic shock propagates from sonic sphere outward, but stalls at Rstall 300 km. • ≈ Collapse energy is released by emission of neutrinos (Tν 1 s). • ≈ Proto-neutron subsequently cools, possibly accretes matter, and shrinks to final neutron star. • Neutrinos deposit energy behind stalled shock and revive it (delayed explosion mechanism). • Shock wave propagates through -
A Brief History of Gravitational Waves
Review A Brief History of Gravitational Waves Jorge L. Cervantes-Cota 1, Salvador Galindo-Uribarri 1 and George F. Smoot 2,3,4,* 1 Department of Physics, National Institute for Nuclear Research, Km 36.5 Carretera Mexico-Toluca, Ocoyoacac, Mexico State C.P.52750, Mexico; [email protected] (J.L.C.-C.); [email protected] (S.G.-U.) 2 Helmut and Ana Pao Sohmen Professor at Large, Institute for Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, 999077 Kowloon, Hong Kong, China. 3 Université Sorbonne Paris Cité, Laboratoire APC-PCCP, Université Paris Diderot, 10 rue Alice Domon et Leonie Duquet 75205 Paris Cedex 13, France. 4 Department of Physics and LBNL, University of California; MS Bldg 50-5505 LBNL, 1 Cyclotron Road Berkeley, CA 94720, USA. * Correspondence: [email protected]; Tel.:+1-510-486-5505 Abstract: This review describes the discovery of gravitational waves. We recount the journey of predicting and finding those waves, since its beginning in the early twentieth century, their prediction by Einstein in 1916, theoretical and experimental blunders, efforts towards their detection, and finally the subsequent successful discovery. Keywords: gravitational waves; General Relativity; LIGO; Einstein; strong-field gravity; binary black holes 1. Introduction Einstein’s General Theory of Relativity, published in November 1915, led to the prediction of the existence of gravitational waves that would be so faint and their interaction with matter so weak that Einstein himself wondered if they could ever be discovered. Even if they were detectable, Einstein also wondered if they would ever be useful enough for use in science. -
The Status of Gravitational-Wave Detectors Different Frequency
The Status of Gravitational Wave Detectors The Status of Gravitational-Wave Detectors Reported on behalf of LIGO colleagues by Fred Raab, LIGO Hanford Observatory LIGO-G030249-02-W Different Frequency Bands of Detectors and Sources space terrestrial ● EM waves are studied over ~20 Audio band orders of magnitude » (ULF radio −> HE γ rays) ● Gravitational Wave coverage over ~8 orders of magnitude » (terrestrial + space) LIGO-G030249-02-W LIGO Detector Commissioning 2 Fred Raab, Caltech & LIGO (KITP Gravitation Conference 5/12/03) 1 The Status of Gravitational Wave Detectors Basic Signature of Gravitational Waves for All Detectors LIGO-G030249-02-W LIGO Detector Commissioning 3 Original Terrestrial Detectors Continue to be Improved AURIGA II Resonant Bar Detector 1E-20 AURIGA I run LHe4 vessel Al2081 AURIGA II run Cryo ] 2 / 1 holder - Electronics z 1E-21 H [ 2 / 1 wiring hh support S AURIGA II run UltraCryo 1E-22 Main 850 860 880 900 920 940 950 Frequency [Hz] Attenuator Thermal Sensitive bar Shield •Efforts to broaden frequency range and reduce noise Compression •Size limited by sound speed Spring Transducer Courtesy M. Cerdonnio LIGO-G030249-02-W LIGO Detector Commissioning 4 Fred Raab, Caltech & LIGO (KITP Gravitation Conference 5/12/03) 2 The Status of Gravitational Wave Detectors New Generation of “Free- Mass” Detectors Now Online suspended mirrors mark inertial frames antisymmetric port carries GW signal Symmetric port carries common-mode info Intrinsically broad band and size-limited by speed of light. LIGO-G030249-02-W LIGO Detector -
Gravitational Wave Echoes from Black Hole Area Quantization
Prepared for submission to JCAP Gravitational wave echoes from black hole area quantization Vitor Cardoso,a;b Valentino F. Foit,c Matthew Klebanc aCentro de Astrofísica e Gravitação - CENTRA, Departamento de Física Instituto Superior Técnico - IST, Universidade de Lisboa, Lisboa, Portugal bTheoretical Physics Department, CERN 1 Esplanade des Particules, Geneva 23, CH-1211, Switzerland cCenter for Cosmology and Particle Physics New York University, New York, USA E-mail: [email protected], [email protected], [email protected] Abstract. Gravitational-wave astronomy has the potential to substantially advance our knowledge of the cosmos, from the most powerful astrophysical engines to the initial stages of our universe. Gravitational waves also carry information about the nature of black holes. Here we investigate the potential of gravitational-wave detectors to test a proposal by Beken- stein and Mukhanov that the area of black hole horizons is quantized in units of the Planck area. Our results indicate that this quantization could have a potentially observable effect on the classical gravitational wave signals received by detectors. In particular, we find distorted gravitational-wave “echoes” in the post-merger waveform describing the inspiral and merger of two black holes. These echoes have a specific frequency content that is characteristic of black hole horizon area quantization. arXiv:1902.10164v1 [hep-th] 26 Feb 2019 Contents 1 Introduction1 1.1 Quantization of black hole area1 1.2 Imprints on classical observables2 1.2.1 Gravitational-wave -
Einstein's Discovery of Gravitational Waves 1916-1918
1 Einstein’s Discovery of Gravitational Waves 1916-1918 Galina Weinstein 12/2/16 In his 1916 ground-breaking general relativity paper Einstein had imposed a restrictive coordinate condition; his field equations were valid for a system –g = 1. Later, Einstein published a paper on gravitational waves. The solution presented in this paper did not satisfy the above restrictive condition. In his gravitational waves paper, Einstein concluded that gravitational fields propagate at the speed of light. The solution is the Minkowski flat metric plus a small disturbance propagating in a flat space-time. Einstein calculated the small deviation from Minkowski metric in a manner analogous to that of retarded potentials in electrodynamics. However, in obtaining the above derivation, Einstein made a mathematical error. This error caused him to obtain three different types of waves compatible with his approximate field equations: longitudinal waves, transverse waves and a new type of wave. Einstein added an Addendum in which he suggested that in a system –g = 1 only waves of the third type occur and these waves transport energy. He became obsessed with his system –g = 1. Einstein’s colleagues demonstrated to him that in the coordinate system –g = 1 the gravitational wave of a mass point carry no energy, but Einstein tried to persuade them that he had actually not made a mistake in his gravitational waves paper. Einstein, however, eventually accepted his colleagues results and dropped the restrictive condition –g = 1. This finally led him to discover plane transverse gravitational waves. Already in 1913, at the eighty-fifth congress of the German Natural Scientists and Physicists in Vienna, Einstein started to think about gravitational waves when he worked on the Entwurf theory. -
Dense Nuclear Matter and Gravitational Waves Alex Nielsen Quo Vadis QCD Stavanger, Norway Wed 2Nd October 2019 Image Credit: Norbert Wex
Dense nuclear matter and gravitational waves Alex Nielsen Quo Vadis QCD Stavanger, Norway Wed 2nd October 2019 Image Credit: Norbert Wex Neutron star radius is not directly measured in pulsars, X-ray binaries or gravitational waves, but is dependent on the matter Equation of State LIGO-Virgo result for gravitational wave event GW170817 Fig 3, LVC, PRL121, (2018) 161101 Assumptions in fitting tidal parameters ● Event is an astrophysical gravitational wave event ● Event is two neutron stars ● Event occurs exactly at the location of optical counterpart ● Both spins are low, consistent with observed galactic binaries ● Both neutron stars have the same equation of state ● GW detector noise is Gaussian, de-glitching of L1 is successful ● PhenomPNRT waveform model is accurate in inspiral phase Gravitational wave detectors (this one in Italy) Image Credit:The Virgo Collaboration Notable gravitational wave events (so far) • GW150914 Binary Black Hole (BBH) • GW170817 Binary Neutron Star (BNS) Image Credit: NASA/Dana Berry Multi-messenger astronomy, 3,677 authors... GW and EM observations of GW170817 (no neutrinos or cosmic rays seen) Fig 2, ApJL848, (2017) L12 “But, as critics have pointed out correctly, the LIGO alert for this event came 40 minutes after NASA’s gamma-ray alert. For this reason, the event cannot be used as an independent GW170817 timeline confirmation of LIGO’s detection capacity.” –Hossenfelder, 4 Sep 2019 ● 12 41:04 GstLAL automatic alert of single trigger in H1 ● 12 41:06 onboard GRB trigger on GBM ∶ ● +~15 mins Rapid Response -
LIGO Educator's Guide
Direct Observation of Gravitational Waves Educator’s Guide Direct Observation of Gravitational Waves Educator’s Guide http://www.ligo.org Content 3 Introduction 4 Background 4 Gravitational Waves as Signals from the Universe 5 Gravity from Newton to Einstein 8 Gravitational Waves 10 The Direct Observation of Gravitational Waves by LIGO 13 Black Holes 14 Activities 14 • Activity 1 - Coalescing Black Holes 16 • Activity 2 - Warping of Spacetime 18 Next Generation Science Standards 19 Appendix A - Glossary 20 Appendix B - Resources 21 Appendix C - Purchasing Information LIGO Educator’s Guide — This guide was written by Kevin McLin, Carolyn Peruta and Lynn Cominsky. Layout and Design by Aurore Simonnet. SSU Education and Public Outreach Group, Sonoma State University, Rohnert Park, CA – http://epo.sonoma.edu We gratefully acknowledge comments and review by Beverly Berger, Joey Key, William Katzman and Dale Ingram. This work was supported by a supplement to NSF PHY-1404215. Updates may be downloaded from https://dcc.ligo.org/LIGO-P1600015 Introduction On September 14, 2015, the Laser Interferometer Gravitational-wave Observatory (LIGO) received the first confirmed gravitational wave signals. Now known as GW150914 (for the date on which the signals were received in 2015, 9th month, day 14), the event represents the coalescence of two black holes that were previously in mutual orbit. LIGO’s exciting discovery provides direct evidence of what is arguably the last major unconfirmed prediction of Einstein’s General Theory of Relativity. This Educator’s Guide provides a brief introduction to LIGO and to gravitational waves, along with two simple demonstration activities that you can do in your classroom to engage your students in understanding LIGO’s discovery. -
Astro2020 Science White Paper Probing the Origin of Our Universe Through Cosmic Microwave Background Constraints on Gravitational Waves
Astro2020 Science White Paper Probing the origin of our Universe through cosmic microwave background constraints on gravitational waves Thematic Areas: Planetary Systems Star and Planet Formation Formation and Evolution of Compact Objects X Cosmology and Fundamental Physics Stars and Stellar Evolution Resolved Stellar Populations and their Environments Galaxy Evolution Multi-Messenger Astronomy and Astrophysics Principal Author: Name: Sarah Shandera Institution: The Pennsylvania State University Email: [email protected] Phone: (814)863-9595 Co-authors: Peter Adshead (U. Illinois), Mustafa Amin (Rice University), Emanuela Dimastrogiovanni (University of New South Wales), Cora Dvorkin (Harvard University), Richard Easther (University of Auckland), Matteo Fasiello (Institute of Cosmology and Gravitation, University of Portsmouth), Raphael Flauger (University of California, San Diego), John T. Giblin, Jr (Kenyon College), Shaul Hanany (University of Minnesota), Lloyd Knox (Univerisity of California, Davis), Eugene Lim (King’s College London), Liam McAllister (Cornell University), Joel Meyers (Southern Methodist University), Marco Peloso (University of Padova, and INFN, Sezione di Padova), Graca Rocha (Jet Propulsion Laboratory), Maresuke Shiraishi (National Institute of Technology, Kagawa College), Lorenzo Sorbo (University of Massachusetts, Amherst), Scott Watson (Syracuse University) Endorsers: Zeeshan Ahmed1, David Alonso2, Robert Armstrong3, Mario Ballardini4, Darcy Barron5, Nicholas Battaglia6, Daniel Baumann7;8, Charles Bennett9, -
Stealth Chaos Due to Frame-Dragging
Stealth Chaos due to Frame-Dragging Andr´esF. Gutierrez1 Alejandro C´ardenas-Avenda~no2 3, Nicol´asYunes3 and Leonardo A. Pach´on1 1 Grupo de F´ısicaTe´oricay Matem´aticaAplicada, Instituto de F´ısica,Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia, Medell´ın,Colombia. 2 Programa de Matem´atica,Fundaci´onUniversitaria Konrad Lorenz, 110231 Bogot´a, Colombia. 3 Illinois Center for Advanced Studies of the Universe, Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. Abstract. While the geodesic motion around a Kerr black hole is fully integrable and therefore regular, numerical explorations of the phase-space around other spacetime configurations, with a different multipolar structure, have displayed chaotic features. In most of these solutions, the role of the purely general relativistic effect of frame-dragging in chaos has eluded a definite answer. In this work, we show that, when considering neutral test particles around a family of stationary axially-symmetric analytical exact solution to the Einstein-Maxwell field equations, frame-dragging (as captured through spacetime vorticity)is capable of reconstructing KAM-tori from initially highly chaotic configurations. We study this reconstruction by isolating the contribution of the spacetime vorticity scalar to the dynamics, and exemplify our findings by computing rotation curves and the dimensionality of phase-space. Since signatures of chaotic dynamics in gravitational waves have been suggested as a way to test general relativity in the strong-field regime, we have computed gravitational waveforms using the semi- relativistic approximation and studied the frequency content of the gravitational wave spectrum. If this mechanism is generic, chaos suppression by frame-dragging may undermine present proposals to verify the hypothesis of the no-hair theorems and the validity of general relativity. -
A Three-Dimensional Laser Interferometer Gravitational-Wave Detector
www.nature.com/scientificreports OPEN A three‑dimensional laser interferometer gravitational‑wave detector Mengxu Liu & Biping Gong* The gravitational wave (GW) has opened a new window to the universe beyond the electromagnetic spectrum. Since 2015, dozens of GW events have been caught by the ground-based GW detectors through laser interferometry. However, all the ground-based detectors are L-shaped Michelson interferometers, with very limited directional response to GW. Here we propose a three-dimensional (3-D) laser interferometer detector in the shape of a regular triangular pyramid, which has more spherically symmetric antenna pattern. Moreover, the new confguration corresponds to much stronger constraints on parameters of GW sources, and is capable of constructing null-streams to get rid of the signal-like noise events. A 3-D detector of kilometer scale of such kind would shed new light on the joint search of GW and electromagnetic emission. Gravitational waves produced by dynamic acceleration of celestial objects are direct predictions of Einstein’s General Teory of Relativity. Together with the electromagnetic radiation, the physics of GW events can be investigated in a depth that has never achieved before. In the past decades, many GW detectors have been proposed and constructed, including the ground-based and the space-based detectors for various wavelength of gravitational waves1. Te basic idea of those gravitational wave detectors is to measure the relative displace- ment of the freely falling bodies through laser interferometetry. Currently, most GW detection on the ground are performed in the high frequency band (10 Hz–100 kHz), by the long arm laser interferometers, such as TAMA 300 m interferometer2, the GEO 600 m interferometer3, and the kilometer size laser-interferometric GW detectors like Advance LIGO (4 km arm length)4, Advance VIRGO (3 km arm length)5, and the following ET (10 km arm length)6.