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Author : Juan A. Valiente Kroon
Publisher : Cambridge University Press
Page : 627 pages
File Size : 49,5 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009291347
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Author : Giampiero Esposito
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 49,6 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306471186
This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.
Author : Thierry Daudé,Dietrich Häfner,Jean-Philippe Nicolas
Publisher : Cambridge University Press
Page : 381 pages
File Size : 43,8 Mb
Release : 2018-01-11
Category : Mathematics
ISBN : 9781316649404
Introduction to modern methods for classical and quantum fields in general relativity / Thierry Daudé, Dietrich Häfner, and Jean-Philippe Nicolas -- Geometry of black hole spacetimes / Lars Andersson, Thomas B. Ackdahl, and Pieter Blue -- An introduction to Quantum Field Theory on curved space-times / Christian Gerard -- A minicourse on microlocal analysis for wave propagation / Andras Vasy -- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity / Sean N. Curry and A. Rod Gover
Author : Maria Rosaria D'Esposito
Publisher : Springer
Page : 206 pages
File Size : 47,7 Mb
Release : 2014-03-14
Category : Science
ISBN : 9401737746
This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.
Author : Kirill Krasnov
Publisher : Cambridge University Press
Page : 391 pages
File Size : 54,7 Mb
Release : 2020-11-26
Category : Science
ISBN : 9781108481649
Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
Author : Francesco Bajardi,Salvatore Capozziello
Publisher : Cambridge University Press
Page : 452 pages
File Size : 49,6 Mb
Release : 2022-11-24
Category : Science
ISBN : 9781009208734
This volume summarizes the many alternatives and extensions to Einstein's General Theory of Relativity, and shows how symmetry principles can be applied to identify physically viable models. The first part of the book establishes the foundations of classical field theory, providing an introduction to symmetry groups and the Noether theorems. A quick overview of general relativity is provided, including discussion of its successes and shortcomings, then several theories of gravity are presented and their main features are summarized. In the second part, the 'Noether Symmetry Approach' is applied to theories of gravity to identify those which contain symmetries. In the third part of the book these selected models are tested through comparison with the latest experiments and observations. This constrains the free parameters in the selected models to fit the current data, demonstrating a useful approach that will allow researchers to construct and constrain modified gravity models for further applications.
Author : Stephen W. Hawking,George F. R. Ellis
Publisher : Cambridge University Press
Page : 414 pages
File Size : 42,8 Mb
Release : 2023-02-16
Category : Science
ISBN : 9781009253185
First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.
Author : Klaas Landsman
Publisher : Radboud University Press
Page : 394 pages
File Size : 51,7 Mb
Release : 2021-10-08
Category : Science
ISBN : 9789083178929
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
Author : Paul Romatschke,Ulrike Romatschke
Publisher : Cambridge University Press
Page : 207 pages
File Size : 41,7 Mb
Release : 2019-05-09
Category : Science
ISBN : 9781108483681
Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.
Author : Manu Paranjape
Publisher : Cambridge University Press
Page : 325 pages
File Size : 51,8 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009291262
This 2017 volume, now reissued as OA, provides an accessible, detailed introduction to instanton methods and their many applications.
Author : Luca Lusanna
Publisher : Cambridge University Press
Page : 339 pages
File Size : 44,5 Mb
Release : 2019-07-04
Category : Science
ISBN : 9781108480826
Describes global non-inertial frames in special and general relativity and provides a detailed description of mathematical methods.
Author : Pran Nath
Publisher : Cambridge University Press
Page : 539 pages
File Size : 47,9 Mb
Release : 2016-12-15
Category : Science
ISBN : 9780521197021
This book offers a comprehensive discussion of developments at the interface of particle physics, supergravity, and cosmology, for graduates and researchers.
Author : Roger Penrose,Wolfgang Rindler
Publisher : Cambridge University Press
Page : 516 pages
File Size : 41,9 Mb
Release : 1984
Category : Mathematics
ISBN : 0521347866
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Author : Tiberiu Harko,Francisco S. N. Lobo
Publisher : Cambridge University Press
Page : 476 pages
File Size : 53,8 Mb
Release : 2018-11-08
Category : Science
ISBN : 9781108584579
Recent cosmological observations have posed a challenge for traditional theories of gravity: what is the force driving the accelerated expansion of the universe? What if dark energy or dark matter do not exist and what we observe is a modification of the gravitational interaction that dominates the universe at large scales? Various extensions to Einstein's General Theory of Relativity have been proposed, and this book presents a detailed theoretical and phenomenological analysis of several leading, modified theories of gravity. Theories with generalised curvature-matter couplings are first explored, followed by hybrid metric-Palatini gravity. This timely book first discusses key motivations behind the development of these modified gravitational theories, before presenting a detailed overview of their subsequent development, mathematical structure, and cosmological and astrophysical implications. Covering recent developments and with an emphasis on astrophysical and cosmological applications, this is the perfect text for graduate students and researchers.
Author : Bei-Lok B. Hu,Enric Verdaguer
Publisher : Cambridge University Press
Page : 615 pages
File Size : 55,9 Mb
Release : 2020-03-05
Category : Science
ISBN : 9780521193573
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
