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Classical Measurements in Curved Space-Times

Classical Measurements in Curved Space-Times PDF Author: Fernando de Felice
Publisher: Cambridge University Press
ISBN: 1139491598
Category : Science
Languages : en
Pages : 326

Book Description
The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.

Classical Measurements in Curved Space-Times

Classical Measurements in Curved Space-Times PDF Author: Fernando de Felice
Publisher: Cambridge University Press
ISBN: 1139491598
Category : Science
Languages : en
Pages : 326

Book Description
The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.

Flat and Curved Space-times

Flat and Curved Space-times PDF Author: George Francis Rayner Ellis
Publisher: Clarendon Press
ISBN: 9780198506560
Category : Mathematics
Languages : en
Pages : 394

Book Description
This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.

Relativity on Curved Manifolds

Relativity on Curved Manifolds PDF Author: F. de Felice
Publisher: Cambridge University Press
ISBN: 9780521429085
Category : Mathematics
Languages : en
Pages : 466

Book Description
This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time PDF Author: Stephen W. Hawking
Publisher: Cambridge University Press
ISBN: 1009253182
Category : Science
Languages : en
Pages : 414

Book Description
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.

Semiclassical and Stochastic Gravity

Semiclassical and Stochastic Gravity PDF Author: Bei-Lok B. Hu
Publisher: Cambridge University Press
ISBN: 0521193575
Category : Science
Languages : en
Pages : 615

Book Description
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

Particle Physics of Brane Worlds and Extra Dimensions

Particle Physics of Brane Worlds and Extra Dimensions PDF Author: Sreerup Raychaudhuri
Publisher: Cambridge University Press
ISBN: 052176856X
Category : Science
Languages : en
Pages : 343

Book Description
A comprehensive account of new models of extra dimensions which form an important part of present-day high-energy physics.

Classical Solutions in Quantum Field Theory

Classical Solutions in Quantum Field Theory PDF Author: Erick J. Weinberg
Publisher: Cambridge University Press
ISBN: 1139576372
Category : Science
Languages : en
Pages : 341

Book Description
Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with particular emphasis on Yang–Mills instantons and on bounce solutions.

Principles of Discrete Time Mechanics

Principles of Discrete Time Mechanics PDF Author: George Jaroszkiewicz
Publisher: Cambridge University Press
ISBN: 1139916432
Category : Science
Languages : en
Pages : 381

Book Description
Could time be discrete on some unimaginably small scale? Exploring the idea in depth, this unique introduction to discrete time mechanics systematically builds the theory up from scratch, beginning with the historical, physical and mathematical background to the chronon hypothesis. Covering classical and quantum discrete time mechanics, this book presents all the tools needed to formulate and develop applications of discrete time mechanics in a number of areas, including spreadsheet mechanics, classical and quantum register mechanics, and classical and quantum mechanics and field theories. A consistent emphasis on contextuality and the observer-system relationship is maintained throughout.

Gravity and Strings

Gravity and Strings PDF Author: Tomás Ortín
Publisher: Cambridge University Press
ISBN: 1316239578
Category : Science
Languages : en
Pages : 1043

Book Description
Self-contained and comprehensive, this definitive new edition of Gravity and Strings is a unique resource for graduate students and researchers in theoretical physics. From basic differential geometry through to the construction and study of black-hole and black-brane solutions in quantum gravity - via all the intermediate stages - this book provides a complete overview of the intersection of gravity, supergravity, and superstrings. Now fully revised, this second edition covers an extensive array of topics, including new material on non-linear electric-magnetic duality, the electric-tensor formalism, matter-coupled supergravity, supersymmetric solutions, the geometries of scalar manifolds appearing in 4- and 5-dimensional supergravities, and much more. Covering reviews of important solutions and numerous solution-generating techniques, and accompanied by an exhaustive index and bibliography, this is an exceptional reference work.

Extensions of f(R) Gravity

Extensions of f(R) Gravity PDF Author: Tiberiu Harko
Publisher: Cambridge University Press
ISBN: 1108584578
Category : Science
Languages : en
Pages : 476

Book Description
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.