Author: Kishor Patil
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659136245
Category :
Languages : en
Pages : 172
Book Description
Visibility of spacetime singularities formed in the gravitational collapse of a star has been one of the most disputed topics of modern astrophysics and cosmology for the past four decades. This provocative, topical book presents the scientific foundation for thinking that spacetime singularities formed in the collapse of a star might be visible. The book portrays methods for determining the nature of singularities arising in four and higher dimensional spacetimes. It is the most comprehensive book, which will be an essential reading for astrophysicists, cosmologists and all those interested in understanding the gravitational collapse of a star.
Gravitational Collapse of Spherical Spacetimes
Author: Kishor Patil
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659136245
Category :
Languages : en
Pages : 172
Book Description
Visibility of spacetime singularities formed in the gravitational collapse of a star has been one of the most disputed topics of modern astrophysics and cosmology for the past four decades. This provocative, topical book presents the scientific foundation for thinking that spacetime singularities formed in the collapse of a star might be visible. The book portrays methods for determining the nature of singularities arising in four and higher dimensional spacetimes. It is the most comprehensive book, which will be an essential reading for astrophysicists, cosmologists and all those interested in understanding the gravitational collapse of a star.
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659136245
Category :
Languages : en
Pages : 172
Book Description
Visibility of spacetime singularities formed in the gravitational collapse of a star has been one of the most disputed topics of modern astrophysics and cosmology for the past four decades. This provocative, topical book presents the scientific foundation for thinking that spacetime singularities formed in the collapse of a star might be visible. The book portrays methods for determining the nature of singularities arising in four and higher dimensional spacetimes. It is the most comprehensive book, which will be an essential reading for astrophysicists, cosmologists and all those interested in understanding the gravitational collapse of a star.
Gravitational Collapse and Spacetime Singularities
Author: Pankaj S. Joshi
Publisher: Cambridge University Press
ISBN: 9781107405363
Category : Science
Languages : en
Pages : 0
Book Description
Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.
Publisher: Cambridge University Press
ISBN: 9781107405363
Category : Science
Languages : en
Pages : 0
Book Description
Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. General relativity predicts that continual gravitational collapse gives rise to a space-time singularity. Quantum gravity may take over in such regimes to resolve the classical space-time singularity. This book investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology. It includes a detailed review of research into gravitational collapse, and several examples of collapse models are investigated in detail.
A Unified Treatment of Gravitational Collapse in General Relativity
Author: Paul Daniel Lasky
Publisher:
ISBN:
Category : Einstein field equations
Languages : en
Pages : 230
Book Description
The generality of the formalism is elucidated in the final chapters of the thesis by looking at the coupling of both electromagnetism and scalar fields in the collapse models. The coupling of electromagnetism to general relativity is given by the Einstein-Maxwell equations, and we are therefore describing relativistic plasma physics. We give a covariant formulation of these plasma equations in 3 + 1 form and discuss the analogues of these equations in standard Newtonian plasma physics. The reduction of these equations to the spherically symmetric case is given in detail along with a further reduction to both the charged Vaidya spacetime in non-null coordinates and the Reissner-Nordström spacetime. Again, all regions of this spacetime are expressed in a single coordinate system and an initial value formalism for a collapsing charged fluid is discussed analogously to the non-electromagnetic case. The final chapter discusses the advantage of this formalism in the context of the gravitational collapse of non-spherical spacetimes. The simplest non-spherical spacetimes which emits gravitational radiation are the vacuum Robinson-Trautman spacetimes. However, generalizations of these spacetimes to include matter are not known. This final chapter is for the most part qualitative, and concentrates on providing causality to outgoing Robinson-Trautman spacetimes. We make significant progress in understanding this problem by establishing the Einstein field equations in intial value form for non-spherical spacetimes which include matter sources.
Publisher:
ISBN:
Category : Einstein field equations
Languages : en
Pages : 230
Book Description
The generality of the formalism is elucidated in the final chapters of the thesis by looking at the coupling of both electromagnetism and scalar fields in the collapse models. The coupling of electromagnetism to general relativity is given by the Einstein-Maxwell equations, and we are therefore describing relativistic plasma physics. We give a covariant formulation of these plasma equations in 3 + 1 form and discuss the analogues of these equations in standard Newtonian plasma physics. The reduction of these equations to the spherically symmetric case is given in detail along with a further reduction to both the charged Vaidya spacetime in non-null coordinates and the Reissner-Nordström spacetime. Again, all regions of this spacetime are expressed in a single coordinate system and an initial value formalism for a collapsing charged fluid is discussed analogously to the non-electromagnetic case. The final chapter discusses the advantage of this formalism in the context of the gravitational collapse of non-spherical spacetimes. The simplest non-spherical spacetimes which emits gravitational radiation are the vacuum Robinson-Trautman spacetimes. However, generalizations of these spacetimes to include matter are not known. This final chapter is for the most part qualitative, and concentrates on providing causality to outgoing Robinson-Trautman spacetimes. We make significant progress in understanding this problem by establishing the Einstein field equations in intial value form for non-spherical spacetimes which include matter sources.
New Frontiers in Gravitational Collapse and Spacetime Singularities
Author: Daniele Malafarina
Publisher: Springer Nature
ISBN: 981971172X
Category :
Languages : en
Pages : 378
Book Description
Publisher: Springer Nature
ISBN: 981971172X
Category :
Languages : en
Pages : 378
Book Description
Gravitational Collapse of Spherical Clouds and Formation of Black Holes in the Background of Dark Energy
Author: Lei Zhao
Publisher:
ISBN:
Category : Black holes (Astronomy)
Languages : en
Pages : 76
Book Description
In this thesis, I first review the fundamentals of Einstein's theory of gravity in four-dimensional spacetimes, and then develop the general formulas of thin shells in this theory. Applying these formulas to spherically symmetric thin shells, I study the gravitational collapse of dust clouds in the background of dark energy. To solve the relevant equations, I develop a computer program, and investigate four representative cases, in which one is without dark energy and the others are with. I find that in all the four cases black holes can be formed from the gravitational collapse of the dust cloud.
Publisher:
ISBN:
Category : Black holes (Astronomy)
Languages : en
Pages : 76
Book Description
In this thesis, I first review the fundamentals of Einstein's theory of gravity in four-dimensional spacetimes, and then develop the general formulas of thin shells in this theory. Applying these formulas to spherically symmetric thin shells, I study the gravitational collapse of dust clouds in the background of dark energy. To solve the relevant equations, I develop a computer program, and investigate four representative cases, in which one is without dark energy and the others are with. I find that in all the four cases black holes can be formed from the gravitational collapse of the dust cloud.
Gravitational Radiation and Gravitational Collapse
Author: Cecile Dewitt-Morette (ed)
Publisher: Springer Science & Business Media
ISBN: 9789027704368
Category : Science
Languages : en
Pages : 244
Book Description
Proceedings of IAU Symposium No. 64, Warsaw, Poland, September 5-8, 1973
Publisher: Springer Science & Business Media
ISBN: 9789027704368
Category : Science
Languages : en
Pages : 244
Book Description
Proceedings of IAU Symposium No. 64, Warsaw, Poland, September 5-8, 1973
Spherical Gravitational Collapse and Cosmic Censorship Hypothesis
Author: Sanjiv Zade
Publisher: LAP Lambert Academic Publishing
ISBN: 9783848480586
Category :
Languages : de
Pages : 144
Book Description
A comprehensive book for the post graduates and researchers in theoretical astrophysics who want to study the space-time singularities arising in the gravitational collapse from a mathematician s point of view. The study has become significant from the perspective of cosmic censorship hypothesis. Four and higher-dimensional space-times are investigated for the possibility of cosmic censorship violation. Analysis of space-time singularities formed in the gravitational collapse of a star is one of the most important areas of mathematical research today. The book provides methods to determine the stability and strength of the singularities arising in various space-times.
Publisher: LAP Lambert Academic Publishing
ISBN: 9783848480586
Category :
Languages : de
Pages : 144
Book Description
A comprehensive book for the post graduates and researchers in theoretical astrophysics who want to study the space-time singularities arising in the gravitational collapse from a mathematician s point of view. The study has become significant from the perspective of cosmic censorship hypothesis. Four and higher-dimensional space-times are investigated for the possibility of cosmic censorship violation. Analysis of space-time singularities formed in the gravitational collapse of a star is one of the most important areas of mathematical research today. The book provides methods to determine the stability and strength of the singularities arising in various space-times.
Space, Time, and Gravity
Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 0226870294
Category : Science
Languages : en
Pages : 169
Book Description
Writing for the general reader or student, Wald has completely revised and updated this highly regarded work to include recent developments in black hole physics and cosmology. Nature called the first edition "a very readable and accurate account of modern relativity physics for the layman within the unavoidable constraint of almost no mathematics. . . . A well written, entertaining and authoritative book."
Publisher: University of Chicago Press
ISBN: 0226870294
Category : Science
Languages : en
Pages : 169
Book Description
Writing for the general reader or student, Wald has completely revised and updated this highly regarded work to include recent developments in black hole physics and cosmology. Nature called the first edition "a very readable and accurate account of modern relativity physics for the layman within the unavoidable constraint of almost no mathematics. . . . A well written, entertaining and authoritative book."
Survey on the Gravitational Collapse in the Spherically Symmetric Spacetime
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Regular Black Holes
Author: Cosimo Bambi
Publisher: Springer Nature
ISBN: 9819915961
Category : Science
Languages : en
Pages : 505
Book Description
Black holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of black holes in the Universe. However, general relativity predicts that at the center of black holes there are spacetime singularities, where predictability is lost and standard physics breaks down. It is widely believed that spacetime singularities are a symptom of the limitations of general relativity and must be solved within a theory of quantum gravity. Since we do not have yet any mature and reliable candidate for a quantum gravity theory, researchers have studied toy-models of singularity-free black holes and of singularity-free gravitational collapses in order to explore possible implications of the yet unknown theory of quantum gravity. This book reviews all main models of regular black holes and non-singular gravitational collapses proposed in the literature, and discuss the theoretical and observational implications of these scenarios.
Publisher: Springer Nature
ISBN: 9819915961
Category : Science
Languages : en
Pages : 505
Book Description
Black holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of black holes in the Universe. However, general relativity predicts that at the center of black holes there are spacetime singularities, where predictability is lost and standard physics breaks down. It is widely believed that spacetime singularities are a symptom of the limitations of general relativity and must be solved within a theory of quantum gravity. Since we do not have yet any mature and reliable candidate for a quantum gravity theory, researchers have studied toy-models of singularity-free black holes and of singularity-free gravitational collapses in order to explore possible implications of the yet unknown theory of quantum gravity. This book reviews all main models of regular black holes and non-singular gravitational collapses proposed in the literature, and discuss the theoretical and observational implications of these scenarios.