Cosmological and Black Hole Apparent Horizons

Cosmological and Black Hole Apparent Horizons PDF

Author: Valerio Faraoni

Publisher: Springer

Published: 2015-07-01

Total Pages: 199

ISBN-13: 331919240X

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This book overviews the extensive literature on apparent cosmological and black hole horizons. In theoretical gravity, dynamical situations such as gravitational collapse, black hole evaporation, and black holes interacting with non-trivial environments, as well as the attempts to model gravitational waves occurring in highly dynamical astrophysical processes, require that the concept of event horizon be generalized. Inequivalent notions of horizon abound in the technical literature and are discussed in this manuscript. The book begins with a quick review of basic material in the first one and a half chapters, establishing a unified notation. Chapter 2 reminds the reader of the basic tools used in the analysis of horizons and reviews the various definitions of horizons appearing in the literature. Cosmological horizons are the playground in which one should take baby steps in understanding horizon physics. Chapter 3 analyzes cosmological horizons, their proposed thermodynamics, and several coordinate systems. The remaining chapters discuss analytical solutions of the field equations of General Relativity, scalar-tensor, and f(R) gravity which exhibit time-varying apparent horizons and horizons which appear and/or disappear in pairs. An extensive bibliography enriches the volume. The intended audience is master and PhD level students and researchers in theoretical physics with knowledge of standard gravity.

Glossary of the Mapping Sciences

Glossary of the Mapping Sciences PDF

Author: American Society of Civil Engineers

Publisher: ASCE Publications

Published: 1994-01-01

Total Pages: 596

ISBN-13: 9780784475706

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The Glossary of Mapping Sciences, a joint publication of the American Congress on Surveying and Mapping (ACSM), American Society for Photogrammetry and Remote Sensing (ASPRS), and American Society of Civil Engineers (ASCE), contains approximately 10,000 terms that cover the broad professional areas of surveying, mapping and remote sensing. Based on over 150 sources, this glossary west through an extensive review process that included individual experts from the related subject fields and a variety of U.S. federal agencies such as the U.S.Geological Survey. This comprehensive review process helped to ensure the accuracy of the document. The Glossary of Mapping Sciences will find widespread use throughout the related professions and serve as a vehicle to standardize the terminology of the mapping sciences.

Numerical Relativity

Numerical Relativity PDF

Author: Masaru Shibata

Publisher: World Scientific

Published: 2015-11-05

Total Pages: 844

ISBN-13: 9814699748

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' This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein''s equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes. Contents:Preliminaries for Numerical RelativityMethodology:Formulation for Initial-Value Problems of General RelativityNumerical Methods for a Solution of Einstein''s Evolution EquationMatter Equations in General RelativityFormulations for Initial Data, Equilibrium, and Quasi-EquilibriumExtracting Gravitational WavesFinding Black HolesApplications:Coalescence of Binary Compact ObjectsGravitational Collapse to a Black HoleNon-Radial Instability and Magnetohydrodynamics InstabilityHigher-Dimensional SimulationsConclusionAppendices:Killing Vector and Frobenius'' TheoremNumerical Relativity in Spherical SymmetryDecomposition by Spherical HarmonicsLagrangian and Hamiltonian Formulations of General RelativitySolutions of Riemann Problems in Special Relativistic HydrodynamicsLandau–Lifshitz Pseudo TensorLaws of Black Hole and Apparent HorizonPost–Newtonian Results for Coalescing Compact Binaries Readership: This book is suitable for advanced ungraduate students, postgraduate students and researchers who are interested in numerical relativity. Keywords:Numerical Relativity;Black Hole;Neutron Star;Gravitational Waves'

Frontiers in Numerical Relativity

Frontiers in Numerical Relativity PDF

Author: Charles R. Evans

Publisher: Cambridge University Press

Published: 1989-04-13

Total Pages: 451

ISBN-13: 0521366666

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This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.

A Relativist's Toolkit

A Relativist's Toolkit PDF

Author: Eric Poisson

Publisher: Cambridge University Press

Published: 2004-05-06

Total Pages: 253

ISBN-13: 1139451995

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This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.

Black Hole Physics

Black Hole Physics PDF

Author: V. Frolov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 786

ISBN-13: 9401151393

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It is not an exaggeration to say that one of the most exciting predictions of Einstein's theory of gravitation is that there may exist "black holes": putative objects whose gravitational fields are so strong that no physical bodies or signals can break free of their pull and escape. The proof that black holes do exist, and an analysis of their properties, would have a significance going far beyond astrophysics. Indeed, what is involved is not just the discovery of yet another even if extremely remarkable, astro physical object, but a test of the correctness of our understanding of the properties of space and time in extremely strong gravitational fields. Theoretical research into the properties of black holes, and into the possible corol laries of the hypothesis that they exist, has been carried out with special vigor since the beginning of the 1970's. In addition to those specific features of black holes that are important for the interpretation of their possible astrophysical manifestations, the theory has revealed a number of unexpected characteristics of physical interactions involving black holes. By the middle of the 1980's a fairly detailed understanding had been achieved of the properties of the black holes, their possible astrophysical manifestations, and the specifics of the various physical processes involved. Even though a completely reliable detection of a black hole had not yet been made at that time, several objects among those scrutinized by astrophysicists were considered as strong candidates to be confirmed as being black holes.

Black Holes

Black Holes PDF

Author: Derek J. Raine

Publisher: Imperial College Press

Published: 2010

Total Pages: 211

ISBN-13: 1848163827

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This introduction to the fascinating subject of black holes fills a significant gap in the literature which exists between popular, non-mathematical expositions and advanced textbooks at the research level. It is designed for advanced undergraduates and first year postgraduates as a useful stepping-stone to the advanced literature. The book provides an accessible introduction to the exact solutions of Einstein's vacuum field equations describing spherical and axisymmetric (rotating) black holes. The geometry and physical properties of these spacetimes are explored through the motion of particles and light. The use of different coordinate systems, maximal extensions and Penrose diagrams is explained. The association of the surface area of a black hole with its entropy is discussed and it is shown that with the introduction of quantum mechanics black holes cease to be black and can radiate. This result allows black holes to satisfy the laws of thermodynamics and thus be consistent with the rest of physics. In this new edition the problems in each chapter have been revised and solutions are provided. The text has been expanded to include new material on wormholes and clarify various other issues.

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