The Formation Of Black Holes In General Relativity

Author : Demetrios Christodoulou
Publisher : European Mathematical Society
Page : 608 pages
File Size : 51,9 Mb
Release : 2009
Category : Black holes (Astronomy)
ISBN : 303719068X

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The Formation of Black Holes in General Relativity by Demetrios Christodoulou Pdf

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.

Author : Kirill A Bronnikov,Sergey G Rubin
Publisher : World Scientific
Page : 591 pages
File Size : 42,9 Mb
Release : 2021-06-29
Category : Science
ISBN : 9789811233463

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Black Holes, Cosmology And Extra Dimensions (Second Edition) by Kirill A Bronnikov,Sergey G Rubin Pdf

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.

Author : Edwin F. Taylor,John Archibald Wheeler
Publisher : Addison-Wesley Professional
Page : 380 pages
File Size : 51,6 Mb
Release : 2000
Category : Juvenile Nonfiction
ISBN : UOM:39015055733979

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Exploring Black Holes by Edwin F. Taylor,John Archibald Wheeler Pdf

"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.

Author : H Falcke,F Hehl
Publisher : CRC Press
Page : 380 pages
File Size : 50,8 Mb
Release : 2002-12-16
Category : Science
ISBN : 1420033425

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The Galactic Black Hole by H Falcke,F Hehl Pdf

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.

Author : Tai L. Chow
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 48,5 Mb
Release : 2007-10-24
Category : Science
ISBN : 9780387736310

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Gravity, Black Holes, and the Very Early Universe by Tai L. Chow Pdf

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.

Author : DEMETRIOS CHRISTODOULOU.
Publisher : Unknown
Page : 128 pages
File Size : 42,6 Mb
Release : 2024-06-14
Category : Electronic
ISBN : 3037195681

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FORMATION OF BLACK HOLES IN GENERAL RELATIVITY. by DEMETRIOS CHRISTODOULOU. Pdf

Author : Abhas Mitra
Publisher : Pan Macmillan
Page : 230 pages
File Size : 45,5 Mb
Release : 2021-01-22
Category : Science
ISBN : 9789389104158

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The Rise and Fall of the Black Hole Paradigm by Abhas Mitra Pdf

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.

Author : Valeri P. Frolov,Andrei Zelnikov
Publisher : Oxford University Press
Page : 505 pages
File Size : 41,8 Mb
Release : 2011-09-22
Category : Science
ISBN : 9780199692293

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Introduction to Black Hole Physics by Valeri P. Frolov,Andrei Zelnikov Pdf

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.

Author : Francesco Haardt,Vittorio Gorini,Ugo Moschella,Aldo Treves,Monica Colpi
Publisher : Springer
Page : 314 pages
File Size : 55,9 Mb
Release : 2015-11-03
Category : Science
ISBN : 9783319194165

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Astrophysical Black Holes by Francesco Haardt,Vittorio Gorini,Ugo Moschella,Aldo Treves,Monica Colpi Pdf

Based on graduate school lectures in contemporary relativity and gravitational physics, this book gives a complete and unified picture of the present status of theoretical and observational properties of astrophysical black holes. The chapters are written by internationally recognized specialists. They cover general theoretical aspects of black hole astrophysics, the theory of accretion and ejection of gas and jets, stellar-sized black holes observed in the Milky Way, the formation and evolution of supermassive black holes in galactic centers and quasars as well as their influence on the dynamics in galactic nuclei. The final chapter addresses analytical relativity of black holes supporting theoretical understanding of the coalescence of black holes as well as being of great relevance in identifying gravitational wave signals. With its introductory chapters the book is aimed at advanced graduate and post-graduate students, but it will also be useful for specialists.

Author : Chris Impey
Publisher : W. W. Norton
Page : 0 pages
File Size : 41,6 Mb
Release : 2019
Category : SCIENCE
ISBN : 1324000937

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Einstein's Monsters by Chris Impey Pdf

Reveals how our comprehension of black holes is intrinsically linked to how we make sense of the universe and our place within it

Author : Gerald Edward Brown,Chang-Hwan Lee
Publisher : World Scientific
Page : 530 pages
File Size : 53,6 Mb
Release : 2003
Category : Science
ISBN : 981238250X

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Formation and Evolution of Black Holes in the Galaxy by Gerald Edward Brown,Chang-Hwan Lee Pdf

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.

Author : Steven S. Gubser,Frans Pretorius
Publisher : Princeton University Press
Page : 200 pages
File Size : 48,6 Mb
Release : 2017-09-25
Category : Science
ISBN : 9781400888290

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The Little Book of Black Holes by Steven S. Gubser,Frans Pretorius Pdf

Dive into a mind-bending exploration of the physics of black holes Black holes, predicted by Albert Einstein’s general theory of relativity more than a century ago, have long intrigued scientists and the public with their bizarre and fantastical properties. Although Einstein understood that black holes were mathematical solutions to his equations, he never accepted their physical reality—a viewpoint many shared. This all changed in the 1960s and 1970s, when a deeper conceptual understanding of black holes developed just as new observations revealed the existence of quasars and X-ray binary star systems, whose mysterious properties could be explained by the presence of black holes. Black holes have since been the subject of intense research—and the physics governing how they behave and affect their surroundings is stranger and more mind-bending than any fiction. After introducing the basics of the special and general theories of relativity, this book describes black holes both as astrophysical objects and theoretical “laboratories” in which physicists can test their understanding of gravitational, quantum, and thermal physics. From Schwarzschild black holes to rotating and colliding black holes, and from gravitational radiation to Hawking radiation and information loss, Steven Gubser and Frans Pretorius use creative thought experiments and analogies to explain their subject accessibly. They also describe the decades-long quest to observe the universe in gravitational waves, which recently resulted in the LIGO observatories’ detection of the distinctive gravitational wave “chirp” of two colliding black holes—the first direct observation of black holes’ existence. The Little Book of Black Holes takes readers deep into the mysterious heart of the subject, offering rare clarity of insight into the physics that makes black holes simple yet destructive manifestations of geometric destiny.

Author : Mario Novello,Matt Visser,Grigori Volovik
Publisher : World Scientific
Page : 416 pages
File Size : 40,7 Mb
Release : 2002-10-04
Category : Science
ISBN : 9789814489607

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Artificial Black Holes by Mario Novello,Matt Visser,Grigori Volovik Pdf

Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various “analog models”. These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.

Author : John W. Moffat
Publisher : Oxford University Press, USA
Page : 233 pages
File Size : 48,6 Mb
Release : 2020
Category : Science
ISBN : 9780190650728

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The Shadow of the Black Hole by John W. Moffat Pdf

"Black holes are one of the extraordinary phenomena in the universe whose existence was surmised not by observations, but by theory. The black hole is a prediction of Einstein's 1915-1916 gravitational theory, general relativity, which replaced Sir Isaac Newton's gravity theory, published in his famous treatise Principia in 1687. In 1784, Reverend John Michell, a fellow of Queens' College and Professor of Geology at Cambridge University, had already envisioned what we now call black holes. He asked what would happen if a star's gravity were so strong that its escape velocity - the speed at which a rocket, for example, would have to travel to leave the star - exceeded the speed of light? Michell realized that any light emanating from the star would have to fall back to its surface. He speculated that the escape velocity would exceed the speed of light for a very massive star, making the star invisible to an observer"--

Author : Michael J W Hall
Publisher : Morgan & Claypool Publishers
Page : 122 pages
File Size : 54,9 Mb
Release : 2018-03-23
Category : Science
ISBN : 9781681748849

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General Relativity by Michael J W Hall Pdf

This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology. The book provides readers with a solid understanding of the underlying physical concepts; an ability to appreciate and in many cases derive important applications of the theory; and a solid grounding for those wishing to pursue their studies further. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology also connects general relativity with broader topics. There is no doubt that general relativity is an active and exciting field of physics, and this book successfully transmits that excitement to readers.