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Author: Tiberiu Harko Publisher: Cambridge University Press ISBN: 1108428746 Category : Science Languages : en Pages : 475
Book Description
Presents a detailed analysis of modified theories of gravity, discussing their development, cosmological and astrophysical implications and outstanding challenges.
Author: Tiberiu Harko Publisher: Cambridge University Press ISBN: 1108428746 Category : Science Languages : en Pages : 475
Book Description
Presents a detailed analysis of modified theories of gravity, discussing their development, cosmological and astrophysical implications and outstanding challenges.
Author: Francesco Bajardi Publisher: Cambridge University Press ISBN: 100920873X Category : Science Languages : en Pages : 452
Book Description
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: Albert Petrov Publisher: Springer Nature ISBN: 3030528626 Category : Science Languages : en Pages : 77
Book Description
This book reviews various modified gravity models, including those with modifications in the pure gravitational sector; those involving extra fields, that is, scalar-tensor and vector-tensor gravity theories; gravity models with Lorentz symmetry breaking; and nonlocal gravity models. The authors discuss both classical and quantum aspects of these theories. The book is unique in bringing together all the current alternatives to Einstein gravity in one source and serves as an excellent starting point for graduate students and other newcomers seeking an overview.
Author: Salvatore Capozziello Publisher: Springer Science & Business Media ISBN: 9400701659 Category : Science Languages : en Pages : 428
Book Description
Beyond Einstein’s Gravity is a graduate level introduction to extended theories of gravity and cosmology, including variational principles, the weak-field limit, gravitational waves, mathematical tools, exact solutions, as well as cosmological and astrophysical applications. The book provides a critical overview of the research in this area and unifies the existing literature using a consistent notation. Although the results apply in principle to all alternative gravities, a special emphasis is on scalar-tensor and f(R) theories. They were studied by theoretical physicists from early on, and in the 1980s they appeared in attempts to renormalize General Relativity and in models of the early universe. Recently, these theories have seen a new lease of life, in both their metric and metric-affine versions, as models of the present acceleration of the universe without introducing the mysterious and exotic dark energy. The dark matter problem can also be addressed in extended gravity. These applications are contributing to a deeper understanding of the gravitational interaction from both the theoretical and the experimental point of view. An extensive bibliography guides the reader into more detailed literature on particular topics.
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.
Author: P I Pronin Publisher: World Scientific ISBN: 9814498912 Category : Science Languages : en Pages : 528
Book Description
This volume comprises original and review articles on the frontier problems of the gravitation theory, theoretical and mathematical physics. The volume is dedicated to the memory of Professor Dmitri Ivanenko who made the great contribution to the physical science of the twentieth century. Contents:A Gauge-Invariant Theory of Motion of Charged Test Particles (D Chruscinski & J Kijowski)Heisenberg Picture for Quantized Fields Interacting with Nonstationary Electromagnetic or Gravitational Background (A A Lobashov & V M Mostepanenko)General Relativity as a Gauge Theory of Orthogonal Groups in Three Dimensions (M Raiteri et al.)Quantum Spacetime (D Finkelstein et al.)Jacobi's Principle and Hertz' Definition of Time (H-J Treder et al.)Placing Limits on Cartan's Torsion from Non-Riemannian Crystals (L C G de Andrade)Spinors as Differential Forms, and Applications to Electromagnetism and Quantum Mechanics (W A Rodrigues, Jr & J Vaz, Jr)Black Holes, Time Arrow, and Vacuum in Quantum Electrodynamics (M E Gertsenstein)One-Loop Background Calculations in the General Field Theory (P I Pronin & K V Stepanyantz)Energy–Momentum Superpotential in Gravitation Theory (G Giachetta & G Sardanashvily)and other papers Readership: Physicists, astronomists, high energy physicists, cosmologists and astrophysicists. keywords:Gravitation Theory;Riemannian Geometry;Gauge Theory;Spinor Field;Dirac Operator;Clifford Algebra;Torsion;Quantum Field;Black Hole;Conservation Law“… the book properly reflects the state of the art in a sector of current research on gravitation (and, less so, other fundamental interactions) and spacing geometry.”H Goenner Classical and Quantum Gravity
Author: Salvatore Capozziello Publisher: Nova Science Pub Incorporated ISBN: 9781616685003 Category : Science Languages : en Pages : 235
Book Description
This book presents information on the study of gravitational theories which can be seen as modifications or extensions of General Relativity. The basic principles that a gravitational theory should follow, and their geometrical interpretation, are analysed in a broad perspective which highlights the basic assumptions of General Relativity and suggests possible modifications. In particular, the invariance principles that are related to the gravitational field are presented, showing how gravity can emerge as a gauge theory. Also, the boundle approach to gravity and derive geometrical quantities which intervene in the construction of gravitational field are discussed.
Author: Charles D. Lane Publisher: MDPI ISBN: 3039364499 Category : Science Languages : en Pages : 96
Book Description
This book contains several recent articles written about broken spacetime symmetry. The context is curved spacetime as used in General Relativity and the broken symmetry most discussed is Local Lorentz Symmetry. While there is currently no experimental evidence for broken Lorentz symmetry in nature, it is an object of great study from theoretical, phenomenological, and experimental perspectives. All three appear in this volume. There are three review articles in this volume: Fabian Kislat summarizes astrophysical probes of Lorentz violation, especially those using polarized light; Michael Seifert discusses a particular limit of the Standard-Model Extension that is useful for relating theoretical and experimental ideas; and Marco Schreck describes circumstances under which gravitational Cerenkov radiation could arise from Lorentz violation. The other three articles focus more on original research: Charles Lane and Quentin Bailey relate a particular theory of noncommutative geometry to the curved-spacetime Standard-Model Extension; Yuri Bonder and Christobal Corral consider the existence of spacetime symmetries in models with explicit Lorentz violation; and Pawel Gusin et al. study a spacetime transformation that relates the inside and outside of a nonrotating black hole.
Author: Herbert Pfister Publisher: Springer ISBN: 3319150367 Category : Science Languages : en Pages : 180
Book Description
This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.
Author: Tiberiu Harko
Author: Tiberiu Harko
Author: Francesco Bajardi
Author: Albert Petrov
Author: Salvatore Capozziello
Author: Stephen W. Hawking
Author: P I Pronin
Author: Salvatore Capozziello
Author: Charles D. Lane
Author: Herbert Pfister
Author: R. A. Minzner