Singular Null Hypersurfaces In General Relativity
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| Author | : Peter A Hogan |
| Publisher | : World Scientific |
| Total Pages | : 205 |
| Release | : 2004-02-03 |
| Genre | : Science |
| ISBN | : 9814483370 |
This book presents a comprehensive and self-contained exposition of the mathematical theory of impulsive light-like signals in general relativity. Applications are provided in relativistic astrophysics, cosmology and alternative theories of gravity deduced from string theory. Cataclysmic astrophysical events give rise to impulsive light-like signals which can generally be decomposed into a thin shell of null matter and an impulsive gravitational wave. Several examples are considered in black hole physics, wave collisions and light-like boosts of compact gravitating sources.Graduate students and researchers in relativistic astrophysics, cosmology and string theory will find this book very useful.
| Author | : Claude Barrabès |
| Publisher | : OUP Oxford |
| Total Pages | : 153 |
| Release | : 2013-05-23 |
| Genre | : Science |
| ISBN | : 0199680698 |
The book covers mainstream topics at research level involving gravitational waves, spinning particles, and black holes, suitable for graduates and early postgraduates exploring avenues into research in general relativity.
| Author | : Jerry B. Griffiths |
| Publisher | : Cambridge University Press |
| Total Pages | : 544 |
| Release | : 2009-10-15 |
| Genre | : Science |
| ISBN | : 1139481169 |
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
| Author | : Samad Khakshournia |
| Publisher | : Springer Nature |
| Total Pages | : 126 |
| Release | : 2024-01-25 |
| Genre | : Science |
| ISBN | : 3031486129 |
This concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now.
| Author | : W. B. Bonnor |
| Publisher | : CUP Archive |
| Total Pages | : 296 |
| Release | : 1984-09-13 |
| Genre | : Science |
| ISBN | : 9780521267472 |
This volume is made up of papers presented at the Conference on Classical General Relativity held at the City University, London, in December 1983. New tests, arising from space experimentation, pulsars and black holes have revitalised the study of Einstein's theory of gravitation (classical general relativity). Nineteen contributors survey recent progress and identify future avenues of research.
| Author | : Anzhong Wang |
| Publisher | : World Scientific |
| Total Pages | : 220 |
| Release | : 2020-03-19 |
| Genre | : Science |
| ISBN | : 9811211507 |
This book is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.
| Author | : Dirk Puetzfeld |
| Publisher | : Springer |
| Total Pages | : 842 |
| Release | : 2015-06-01 |
| Genre | : Science |
| ISBN | : 3319183354 |
The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.
| Author | : Ashtekar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 653 |
| Release | : 2011-06-28 |
| Genre | : Science |
| ISBN | : 9401001111 |
2) the globalization of capital has far outstripped the ability of current labor movements, organized at best on a national level, to conduct an effective defense of the interests of labor within capitalism, let alone to seriously challenge the cap italist system. To develop some form-or forms--of international organization of labor, long an ideological challenge ("Workers of the World Unite") has now become an urgent matter of survival for the labor movements of the world. Here is a challenge, on which I think broad agreement is possible: Even those who think capitalism is capable of indefinite survival must agree that it has functioned best in the past-for example, during the long period of post-World War II expansion when the power of capital has been effectively limited by the countervailing power of labor. Effective exercise of that power has always depended on overcoming the seg mentation of labor due to such factors as locality, race, gender, occupation, etc. , which stilIremain important. Above, I have singled out the two factors that today seem key to me: the split between mental and manual labor, and segmentation by nationality. Let all concerned about the current state of capitalism work to build up the countervailing power of labor, and let time show whether this results in nothing more than the better functioning of capitalism, or whether a new challenge to the system ultimately emerges.
| Author | : Remo Ruffini |
| Publisher | : World Scientific |
| Total Pages | : 4880 |
| Release | : 2022-12-15 |
| Genre | : Science |
| ISBN | : 9811269785 |
The proceedings of MG16 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the following topics: accretion, active galactic nuclei, alternative theories of gravity, black holes (theory, observations and experiments), binaries, boson stars, cosmic microwave background, cosmic strings, dark energy and large scale structure, dark matter, education, exact solutions, early universe, fundamental interactions and stellar evolution, fast transients, gravitational waves, high energy physics, history of relativity, neutron stars, precision tests, quantum gravity, strong fields, and white dwarf; all of them represented by a large number of contributions.The online e-proceedings are published in an open access format.
| Author | : Vladimir Dobrev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 535 |
| Release | : 2013-04-09 |
| Genre | : Mathematics |
| ISBN | : 4431542701 |
Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics” held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.
