Singularities In Gravitational Systems
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Singularities In Gravitational Systems
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Author : Daniel Benest
language : en
Publisher: Springer
Release Date : 2008-01-11
Singularities In Gravitational Systems written by Daniel Benest and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.
Singularities In Gravitational Systems
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Author : Daniel Benest
language : en
Publisher: Springer
Release Date : 2009-09-02
Singularities In Gravitational Systems written by Daniel Benest and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Science categories.
Chaos theory plays an important role in modern physics and related sciences, but -, the most important results so far have been obtained in the study of gravitational systems applied to celestial mechanics. The present set of lectures introduces the mathematical methods used in the theory of singularities in gravitational systems, reviews modeling techniques for the simulation of close encounters and presents the state of the art about the study of diffusion of comets, wandering asteroids, meteors and planetary ring particles. The book will be of use to researchers and graduate students alike.
Singularity Theory And Gravitational Lensing
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Author : Arlie O. Petters
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singularity Theory And Gravitational Lensing written by Arlie O. Petters 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 2012-12-06 with Science categories.
This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.
Gravitational Collapse And Spacetime Singularities
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Author : Pankaj S. Joshi
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-20
Gravitational Collapse And Spacetime Singularities written by Pankaj S. Joshi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Science categories.
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.
Gravity Realities Of Conscious World Of Singularity
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Author : Aloysius Sebastian
language : en
Publisher: Aloysius Sebastian
Release Date : 2019-03-19
Gravity Realities Of Conscious World Of Singularity written by Aloysius Sebastian and has been published by Aloysius Sebastian this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Science categories.
This book is a collection of my theories in physics. The main attractions of these theories are some revolutionary thoughts in science like "Gravity has a finite range", the “Big bang scenery inside a black hole” and “particle singularity”. It states that the wave nature of a particle is the product of work done by a particle in a medium. The wave is creating in a medium. Also it states that information can travel faster than light and it can travel in backward direction too. The similarities of the Big bang singularity and the Black hole singularity. In the chapter time travel I am intend to say that, a time traveler cannot create an incident in past or future, he can only meet the information. The chapter 2 and 3 are about the Theory of gravitation. There I am trying to explain the range of gravitational field. For that I have found a new constant "A". It was derivate from the equations of Sir Isaac Newton, the very famous Albert Einstein and many others. According to my Theory and equations, the gravity of an independent object will Zero at a certain distance. Newton and Einstein was discus about the gravitational force of attraction between two objects and I am explaining the range of the gravitational field of an individual object. I cannot believe that, if I have a steel ball with a weight of one kilogram in my hand and someone says to me that, it has an infinite range of gravity, it is out of my logic. I believe in physics and my physics is my surroundings. My observations on surrounding are giving me all my answers. Chapter 1 is discussing the dual nature of a particle. If I am telling somewhere, a "Particle is at rest". People say that, it is impossible to observe a particle at rest. I can't believe that, because we can conclude there is a particle at rest in several occasions. While we are projecting an atom, the particle inside the atom is at rest. If we go tinier particle like a proton, the quarks inside it will be at rest. When the proton is moving, the quark inside it is moving, but it is an inertial motion. It is like, when we are travelling in a bus, we are also moving with the bus. But we don't have any roll in that motion; we are at an inertial motion. Also I asked peoples in some discussions that, what is the nature of a particle at rest? They told me that is showing particle nature at rest. But, then why they are showing dual nature when they are moving?? Here is the presence of a medium, and the waves are creating in the medium. I believe that it is same in microscopic world and macroscopic world. Because of the laws of universe are always same for everything. In the third theory I am explaining about this. We are living in a conscious world where the information can travel faster than light. Everything in our universe is conscious about its state. The light from sun needs 8.20 minutes to reach earth, but we can see the sun at a blink of our eyes, and that describes the speed of information. We are watching a sun which was 8 minutes before. Here the information leads us to the past. Hope you will enjoy reading my book.
New Frontiers In Gravitational Collapse And Spacetime Singularities
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Author : Daniele Malafarina
language : en
Publisher: Springer
Release Date : 2024-05-21
New Frontiers In Gravitational Collapse And Spacetime Singularities written by Daniele Malafarina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-21 with Science categories.
The book collects a series of articles to review the advances that have been made in the field of gravitational collapse in general relativity and alternative theories of gravity in the past few years. Many approaches to black hole and singularity formation in general relativity and beyond have been proposed over the last few decades. The importance of collapse models is that they provide natural thought experiments where to test the behavior and properties of a variety of approaches to general relativity and its implications for ultra-compact objects in the universe.
The Singularities As Ontological Limits Of The General Relativity
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Author : Nicolae Sfetcu
language : en
Publisher: Nicolae Sfetcu
Release Date : 2019-01-31
The Singularities As Ontological Limits Of The General Relativity written by Nicolae Sfetcu and has been published by Nicolae Sfetcu this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Science categories.
ESSAYS Collection The singularities from the general relativity resulting by solving Einstein's equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case? In this essay I argue that there are singularities, and the general theory of relativity, as any other scientific theory at present, is not valid for singularities. But that does not mean, as some scientists think, that it must be regarded as being obsolete. After a brief presentation of the specific aspects of Newtonian classical theory and the special theory of relativity, and a brief presentation of the general theory of relativity, the chapter Ontology of General Relativity presents the ontological aspects of general relativity. The next chapter, Singularities, is dedicated to the presentation of the singularities resulting in general relativity, the specific aspects of the black holes and the event horizon, including the Big Bang debate as original singularity, and arguments for the existence of the singularities. In Singularity Ontology, I am talking about the possibilities of ontological framing of singularities in general and black holes in particular, about the hole argument highlighted by Einstein, and the arguments presented by scientists that there are no singularities and therefore that the general theory of relativity is in deadlock. In Conclusions I outline and summarize briefly the arguments that support my above views. CONTENTS Abstract Introduction Classical Theory and Special Relativity General Relativity (GR) 1 Ontology of General Relativity 2 Singularities Black Holes Event Horizon Big Bang Are there Singularities? 3 Ontology of Singularities Ontology of black holes The hole argument There are no singularities Conclusions Notes Bibliography
Defining Gravitational Singularities In General Relativity
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Author :
language : en
Publisher:
Release Date : 2007
Defining Gravitational Singularities In General Relativity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Singularities have been a long-standing problem in general relativity. In all other fields of physics, singularities can be easily located and avoided; in general relativity, singularities have an impact on the creation of the manifold, but, by definition, are not even part of real spacetime. Moreover, all singularities in general relativity cannot be treated in the same manner; thus, the classification of singularities is essential in order to understand them. One important class of singularities is curvature singularities, which, in some cases, can be subclassified as central, shell focusing or shell crossing singularities. We propose to further classify curvature singularities as either gravitational or non-gravitational. In general relativity, a curvature singularity is ``located'' where the scalar invariants of the spacetime are undefined. The gradient field of a non-zero scalar invariant can then be calculated, and the end points of the associated integral curves can be determined. If integral curves are attracted to (i.e. intersect) the singularity, then it is a gravitational singularity; if the integral curves avoid the singularity, then it is a non-gravitational singularity. We will test our method by analysing several different spacetimes, including Friedman-Lemaitre-Robertson-Walker, Schwarzschild, self-similar Vaidya, self-similar Tolman-Bondi, non-self-similar Vaidya, and Kerr spacetimes. We find that in every case studied, the integral curves have specific end points, therefore they can be used to classify a curvature singularity as gravitational or non-gravitational. In Friedman-Lemaitre-Robertson-Walker and Schwarzschild spacetimes, we determined that the a(t) = 0 and r = 0 singularities, respectively, are gravitational singularities. In Vaidya and Tolman-Bondi spacetime, we determine that the massless shell focusing singularities are non-gravitational singularities and that the central singularities (which have mass) are gravitational singularities.
The Analysis Of Space Time Singularities
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Author : C. J. S. Clarke
language : en
Publisher: Cambridge University Press
Release Date : 1993
The Analysis Of Space Time Singularities written by C. J. S. Clarke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.
The Riddle Of Gravitation
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Author : Peter Gabriel Bergmann
language : en
Publisher: Courier Corporation
Release Date : 1992-01-01
The Riddle Of Gravitation written by Peter Gabriel Bergmann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Science categories.
Nonmathematical introduction to conceptual foundations of both Newton's and Einstein's theories of gravity features updated material on gravity waves, singularities, and other current topics. 88 illustrations. 1968 edition.