The Formation Of Black Holes In General Relativity
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The Formation Of Black Holes In General Relativity
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Author : Demetrios Christodoulou
language : en
Publisher: European Mathematical Society
Release Date : 2009
The Formation Of Black Holes In General Relativity written by Demetrios Christodoulou and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Black holes (Astronomy) categories.
In 1965 Penrose introduced the fundamental concept of a trapped surface, on the basis of which he proved a theorem which asserts that a spacetime containing such a surface must come to an end. The presence of a trapped surface implies, moreover, that there is a region of spacetime, the black hole, which is inaccessible to observation from infinity. Since that time a major challenge has been to find out how trapped surfaces actually form, by analyzing the dynamics of gravitational collapse. The present monograph achieves this aim by establishing the formation of trapped surfaces in pure general relativity through the focusing of gravitational waves. The theorems proved in this monograph constitute the first foray into the long-time dynamics of general relativity in the large, that is, when the initial data are no longer confined to a suitable neighborhood of trivial data. The main new method, the short pulse method, applies to general systems of Euler-Lagrange equations of hyperbolic type and provides the means to tackle problems which have hitherto seemed unapproachable. This monograph will be of interest to people working in general relativity, geometric analysis, and partial differential equations.
Formation Of Black Holes In General Relativity
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Author : DEMETRIOS CHRISTODOULOU.
language : en
Publisher:
Release Date :
Formation Of Black Holes In General Relativity written by DEMETRIOS CHRISTODOULOU. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Black Holes Cosmology And Extra Dimensions Second Edition
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Author : Kirill A Bronnikov
language : en
Publisher: World Scientific
Release Date : 2021-06-29
Black Holes Cosmology And Extra Dimensions Second Edition written by Kirill A Bronnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-29 with Science categories.
Assuming basic knowledge of special and general relativity, this book guides the reader to problems under consideration in modern research, concerning black holes, wormholes, cosmology, and extra dimensions. Its first part is devoted to local strong field configurations (black holes and wormholes) in general relativity and its most relevant extensions: scalar-tensor, f(R), and multidimensional theories. The second part discusses cosmology, including inflation and problems of a unified description of the whole evolution of the universe. The third part concerns multidimensional theories of gravity and contains a number of original results obtained by the authors. Expository work is conducted for a mechanism of symmetries and fundamental constants formation. The original approach to nonlinear multidimensional gravity that is able to construct a unique perspective describing different phenomena is highlighted.Much of the content was previously presented only in journal publications and is new for book contents, e.g., on regular black holes, various scalar field solutions, wormholes and their stability, inflation, clusters of primordial black holes, and multidimensional gravity. The last two topics are added in this new edition of the book. The other chapters are also updated to include new discoveries like the detection of gravitational waves.
Exploring Black Holes
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Author : Edwin F. Taylor
language : en
Publisher: Addison-Wesley Professional
Release Date : 2000
Exploring Black Holes written by Edwin F. Taylor and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Juvenile Nonfiction categories.
"The metric helps to answer every scientific question about (nonquantum) features of spacetime surrounding a black hole, every possible question about trajectories of light and satellites around the black hole as well as around more familiar centers of attraction such as Earth and Sun. The metric for a rotating black hole may tell us about quasars, the most powerful steady energy sources in the Universe. The black-hole metric brings preliminary insights about the history and structure of the Cosmos." "Using the metric requires only algebra, elementary differential calculus, and a handful of integrals. This modest mathematics opens the subject to the interested person and paves the way to a deeper study of general relativity for one who will discover new truth about this strange and beautiful Universe, our home."--BOOK JACKET.
The Galactic Black Hole
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Author : H Falcke
language : en
Publisher: CRC Press
Release Date : 2002-12-16
The Galactic Black Hole written by H Falcke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-16 with Science categories.
The supermassive black hole in the center of our Milky Way is the nearest such object and relatively easy to observe and study. Not surprisingly therefore, it is the best studied supermassive black hole. Many astrophysical and even general relativistic effects can be investigated in great detail. The Galactic Black Hole: Lectures on General Relativity and Astrophysics provides a systematic introduction to the physics/astrophysics and mathematics of black holes at a level suitable for graduate students, postdocs, and researchers in physics, astrophysics, astronomy, and applied mathematics. The focus is mainly on the supermassive black hole in the center of our Milky Way but the results can be easily generalized taking it as an example. Leading international experts provide first-hand accounts of the observational and theoretical aspects of this black hole. Topics range from the properties of the Schwarzschild metric and the collapse of a black hole, to quantum gravity, and from the structure of the Galaxy to accretion of matter and the emission properties of the Galactic Center black hole.
Gravity Black Holes And The Very Early Universe
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Author : Tai L. Chow
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-24
Gravity Black Holes And The Very Early Universe written by Tai L. Chow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-24 with Science categories.
Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.
Introduction To Black Hole Physics
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Author : Valeri P. Frolov
language : en
Publisher: Oxford University Press
Release Date : 2011-09-22
Introduction To Black Hole Physics written by Valeri P. Frolov and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.
What is a black hole? How many of them are in our Universe? Can black holes be created in a laboratory or in particle colliders? Can objects similar to black holes be used for space and time travel? This book discusses these and many other questions providing the reader with the tools required to explore the Black Hole Land independently.
The Rise And Fall Of The Black Hole Paradigm
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Author : Abhas Mitra
language : en
Publisher: Pan Macmillan
Release Date : 2021-01-22
The Rise And Fall Of The Black Hole Paradigm written by Abhas Mitra and has been published by Pan Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-22 with Science categories.
Black holes have turned out to be the cornerstone of both physics and popular belief. But what if we were to realize that exact black holes cannot exist, even though their existence is apparently suggested by exact general relativistic solutions, and Roger Penrose won the 2020 Nobel Prize in Physics ‘for the discovery that black hole formation is a robust prediction of the general theory of relativity’? While it might seem far-fetched to claim so, it will be worth remembering that the finest theoretical physicists like Albert Einstein and Paul Dirac did not believe in black holes, and Stephen Hawking finally thought that there are no exact black holes. While the black hole paradigm has become commonplace in popular consciousness, in the last decade, noise has consistently grown about the many physical effects which can inhibit the formation of exact mathematical black holes. In The Rise and Fall of the Black Hole Paradigm, Abhas Mitra shows us how, much before these developments, he had proven why the so-called black holes must only be black hole pretenders. He identified these black hole candidates to be Magnetospheric Eternally Collapsing Objects (MECOs) and, along with Darryl J. Leiter and Stanley L. Robertson, generalized them. Recent evidence for the existence of strong magnetic fields around so-called black holes may provide confirmations of his claim.
Black Holes
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Author : Sean Alan Hayward
language : en
Publisher: World Scientific
Release Date : 2013-03-08
Black Holes written by Sean Alan Hayward and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Science categories.
Black holes, once just fascinating theoretical predictions of how gravity warps space-time according to Einstein's theory, are now generally accepted as astrophysical realities, formed by post-supernova collapse, or as supermassive black holes mysteriously found at the cores of most galaxies, powering active galactic nuclei, the most powerful objects in the universe. Theoretical understanding has progressed in recent decades with a wider realization that local concepts should characterize black holes, rather than the global concepts found in textbooks. In particular, notions such as trapping horizon allow physically meaningful quantities and equations, describing how a black hole evolves. This has led to discoveries in fields as diverse as classical and numerical general relativity, differential geometry, thermodynamics, quantum field theory, and quantum gravity. There is heretofore no one volume which covers all the main aspects, so this volume collects together summaries and recent research, each chapter written by an expert or experts in a given field. This is intended for readers at a graduate level upwards, who wish to learn about the wide range of research concerning black holes. Contents:An Introduction to Local Black Hole Horizons in the 3+1 Approach to General Relativity (José Luis Jaramillo)Physical Aspects of Quasi-Local Black Hole Horizons (Alex B Nielsen)On Uniqueness Results for Static, Asymptotically Flat Initial Data Containing MOTS (Alberto Carrasco and Marc Mars)Horizons in the Near-Equilibrium Regime (Ivan Booth)Isolated Horizons in Classical and Quantum Gravity (Jonathan Engle and Tomáš Liko)Quantum Thermometers in Stationary Space-Times with Horizons (Sergio Zerbini)Relativistic Thermodynamics (Sean A Hayward)Trapped Surfaces (J M M Senovilla)Some Examples of Trapped Surfaces (I Bengtsson) Readership: Professional physicists and mathematicians. Keywords:Black HolesKey Features:Each chapter is written by an expert or experts on a given topic, up to the current state of knowledge. In this way a broad range of topics is covered in depth, which has previously been available only as individual research papers
Formation And Evolution Of Black Holes In The Galaxy Selected Papers With Commentary
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Author : Hans A Bethe
language : en
Publisher: World Scientific
Release Date : 2003-03-04
Formation And Evolution Of Black Holes In The Galaxy Selected Papers With Commentary written by Hans A Bethe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-04 with Science categories.
In published papers H A Bethe and G E Brown worked out the collapse of large stars and supernova explosions. They went on to evolve binaries of compact stars, finding that in the standard scenario the first formed neutron star always went into a black hole in common envelope evolution. C-H Lee joined them in the study of black hole binaries and gamma ray bursts. They found the black holes to be the fossils of the gamma ray bursts. From their properties they could reconstruct features of the burst and of the accompanying hypernova explosions.This invaluable book contains 23 papers on astrophysics, chiefly on compact objects, written over 23 years. The papers are accompanied by illuminating commentary. In addition there is an appendix on kaon condensation which the editors believe to be relevant to the equation of state in neutron stars, and to explain why black holes are formed at relatively low masses.