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Global Aspects in Gravitation and Cosmology

Global Aspects in Gravitation and Cosmology
Author: Pankaj S. Joshi
Publisher: Oxford University Press, USA
Total Pages: 400
Release: 1993
Genre: Philosophy
ISBN:

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This book describes several basic results and applications of global aspects in gravitation theory and cosmology within the framework of Einstein's theory of gravity. Topics include results on the structure and topology of space-time, exact solutions to Einstein equations and singularities, the status of quantum gravity, and quantum effects near space-time singularities in strong curvature fields. Also covered are the global upper limits in cosmology on elementary particle masses which might constitute the dark matter of the universe. After discussing in detail the fundamental role played by global considerations in gravity and general relativity, the author points out the significant problems that remain: the nature and structure of space-time singularities, the cosmic censorship problem in black hole physics, and the issue of quantum effects in strong gravity fields. The author's treatment of gravitational collapse illustrates how powerfully-strong curvature naked singularities could result from the continual gravitational collapse of matter with several reasonable equations of state--including inflowing radiation, dust, or a perfect fluid. Students and mathematicians, astrophysicists, and physicists will find this theoretically rich book a landmark in relativity theory.


Fundamental Principles of General Relativity Theories

Fundamental Principles of General Relativity Theories
Author: H. Treder
Publisher: Springer Science & Business Media
Total Pages: 215
Release: 2013-03-09
Genre: Science
ISBN: 1475708483

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The present monograph is not a self-contained introductory text. Instead it presupposes to a large extent that the reader is not only thoroughly familiar with the special theory of relativity, but that he or she has studied the standard aspects of the general theory, as weIl. Starting from local and global formulations of the principlcs of inertia and relativity, we discuss the microscopic ancl telcscopic aspects of gravitation. Our central goal has been to demonstrate that the foundations of gravitational theory laid by Newton and Einstein imply questions on thc relation betwecn the micro- and macrocosm. The discussions surrounding these physical points can be rather weH understood without an elaborate mathcmatical formalism. All the same, we have attempted to make the main theme of our presentation accessible also to readers outside the circle of pundits by including two appendixes of a largely instructional nature. Appendix A gives a brief review of the basic concepts of four-dimensional spaces, for the convenience of readers who need 9 Preface such a recapitulation, while Appendix B deals with the more exotic notions of tetrad theory, which admittedly stands in wider need of elucidation. Both appendixes are meant in any event to serve the useful purpose of establishing our notation and collecting formulas for easy reference in the main body of the book. The general reader may accordingly find it helpful first to peruse one or both of the appendixes before turning to the Introduction and Chapter 1. H. -j.


Theory of Gravitational Interactions

Theory of Gravitational Interactions
Author: Maurizio Gasperini
Publisher: Springer
Total Pages: 380
Release: 2016-11-25
Genre: Science
ISBN: 3319496824

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This is the second edition of a well-received book that is a modern, self-contained introduction to the theory of gravitational interactions. The new edition includes more details on gravitational waves of cosmological origin, the so-called brane world scenario, and gravitational time-delay effects.The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field, while the second, more advanced part discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap within the traditional approach to general relativity which usually leaves students puzzled about the role of gravity. The required notions of differential geometry are reduced to the minimum, allowing room for aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric and higher-dimensional generalization of the Einstein equations. This textbook is primarily intended for students pursuing a theoretical or astroparticle curriculum but is also relevant for PhD students and young researchers.


General Relativity

General Relativity
Author: Hans Stephani
Publisher: Cambridge University Press
Total Pages: 340
Release: 1990-06-29
Genre: Science
ISBN: 9780521379410

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This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.


Theory and Experiment in Gravitational Physics

Theory and Experiment in Gravitational Physics
Author: Clifford M. Will
Publisher: Cambridge University Press
Total Pages: 363
Release: 2018-09-27
Genre: Science
ISBN: 1107117445

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A comprehensive review of the testing and research conducted on Einstein's theory of general relativity.


Gravitation, Cosmology, and Cosmic-Ray Physics

Gravitation, Cosmology, and Cosmic-Ray Physics
Author: National Research Council
Publisher: National Academies Press
Total Pages: 188
Release: 1986-02-01
Genre: Science
ISBN: 0309035791

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Aspects of Gravitational Interaction

Aspects of Gravitational Interaction
Author: S. K. Srivastava
Publisher: Nova Biomedical Books
Total Pages: 246
Release: 1998
Genre: Science
ISBN:

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The twentieth century has brought enormous changes in the physicist's understanding of the fundamental nature of the physical world. These changes were ushered in the century's first decade, with the advent of relativity and quantum theory. With advancing knowledge, the mystery surrounding the ultimate nature of the physical world has deepened, not lessened, and the search for the Holy Grail of a 'Grand Unified Theory' or 'Theory of Everything' continues. This book reveals, in considerable detail, the concepts that have arisen as a result of that search -- the 'state of art'. Contents: Introduction to the Theory of Manifolds; Tensors and Riemannian; Einstein's theory of gravity; Some important modifications of Einstein's theory of gravity; Interaction of quantum fields with classical gravity; Gauge theory of gravity; Kaluza-Kleii Theory.


Gravitation

Gravitation
Author: Charles W. Misner
Publisher: Princeton University Press
Total Pages: 1332
Release: 2017-10-24
Genre: Science
ISBN: 0691177791

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Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers


Modifications of Einstein's Theory of Gravity at Large Distances

Modifications of Einstein's Theory of Gravity at Large Distances
Author: Eleftherios Papantonopoulos
Publisher: Springer
Total Pages: 435
Release: 2014-11-04
Genre: Science
ISBN: 331910070X

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In the last few years modified gravity theories have been proposed as extensions of Einstein's theory of gravity. Their main motivation is to explain the latest cosmological and astrophysical data on dark energy and dark matter. The study of general relativity at small scales has already produced important results (cf e.g. LNP 863 Quantum Gravity and Quantum Cosmology) while its study at large scales is challenging because recent and upcoming observational results will provide important information on the validity of these modified theories. In this volume, various aspects of modified gravity at large scales will be discussed: high-curvature gravity theories; general scalar-tensor theories; Galileon theories and their cosmological applications; F(R) gravity theories; massive, new massive and topologically massive gravity; Chern-Simons modifications of general relativity (including holographic variants) and higher-spin gravity theories, to name but a few of the most important recent developments. Edited and authored by leading researchers in the field and cast into the form of a multi-author textbook at postgraduate level, this volume will be of benefit to all postgraduate students and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.


Einstein's Theories of Relativity and Gravitation

Einstein's Theories of Relativity and Gravitation
Author: James Malcolm Bird
Publisher:
Total Pages: 382
Release: 1921
Genre: Gravitation
ISBN:

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Einstein's theory of relativity confounded and excited both professional and amateur scientists with its explanation of the intricacies of how the world and the universe truly work, rather than how people wished or believed they worked. His view of relativity dismantled Newton's theory of space and time as absolutes, adding the concept of curved space-time, which deals with the velocity of motion. Einstein explains his theory of physics in a way that was designed not only for scientists with a knowledge of the complicated math involved but for the general reader as well.