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The Relativistic Theory Of Gravitation by A. A. Logunov, M. A. Mestvirishvili

Book Information

TitleThe Relativistic Theory Of Gravitation
CreatorA. A. Logunov, M. A. Mestvirishvili
Year1989
PPI150
LanguageEnglish
Mediatypetexts
Subjectcosmology, einstein, equivalence principle, general relativity, geodesics, gravitational waves, mir publishers, physics
Collectionmir-titles, additional_collections
Uploadermirtitles
IdentifierLogunovMestvirishviliTheRelativisticTheoryOfGravitation
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Description

The gravitational field is constructed as a physical field in the spirit of Faraday and Maxwell, and this field has energy, momentum, and spins 2 and 0.In this post we see book titled The Relativistic Theory of Gravitation by A. A. Logunov and M. A. Mestvirishvili.If you think the title is a bit scary, then it is. Without a proper background in General Relativity (GR) and associated subjects (tensor calculus, etc.) this book is not readable. The topics are mostly at advanced level and already assumes that the reader is familiar and well acquainted with the subject. In other words this is not the first  book to be  read on the subject. It is a rigorous presentation of a gravitational theory which differs from results of the Einstein's version of General Relativity.This book presents the authors' Relativistic Theory of GravitationIn this book we give a detailed exposition of the relativistic theory of gravitation or RTG, developed in Logunov, 1986, Logunov and Mestvirishvili 1984 , 1985a , 1985b, 1986b , Vlasov and Logunov, 1984, an d Vlasov , Logunov, and Mestvirishvili, 1984 . In these works RTG bas been built unambiguously, using as a basis the relativity principle, the gauge principle, and the geometrization principle.The gravitational field is constructed as a physically in the spirit of Faraday and Maxwell, and this field has energy, momentum, and spins 2 and 0. RTG revives the concept of a classical gravitational field that no choice of reference frame can destroy since it is a material substratum. The gauge principle is formulated on the basis of the local infinite dimensional non-commutative group of super-coordinate transformation.The theory considered here rigorously obeys the laws of conservation of energy momentum and angular momentum for matter and gravitational field taken together. It also describes the entire body of gravitational experiments. We show that Einstein's formula for gravitational waves, (15.56 ),  follows directly from the theory. In analysing the evolution of the universe, RTG concludes that the universe is infinite and "flat" and predicts a large "latent" mass in it. This "latent" mass exceeds the observable mass of the universe by a factor of 40.We also show that in general relativity, GR, there are no fundamental laws of conservation of energy -momentum and angular momentum of matter and gravitational field taken together, with the result that the inertial mass defined in GR is not equal to the active gravitational mass. We have established that GR gives no definite predictions concerning gravitational effects. Finally, in GR the gravitational field is not a physical field possessing an energy-momentum density. Consequently, Einstein's formula (15.56) for gravitational waves does not follow from GR.The book was translated from the Russian by Eugene Yankovsky and was first published by Mir in 1989.Contents:Preface 7Introduction 81. Critical Remarks on the Principle of Equivalence 142. Energy Momentum Pseudo-tensors of the Gravitational Field in GR 173. Inertial Mass in GR 194. Energy-Momentum Conservation in GR 265. Energy-Momentum and Angular Momentum  Conservation as related to geometry of Space-Time  306. The Geometrization Principle and General RTG relations 387. The Basic Identity 428. RTG Equations 459. Relationships between Canonical Energy-Momentum Tensor and the Hilbert Tensor 5310. The Gauge Principle and Uniqueness of RTG Lagrangian 5711. A Generalization of RTG Systems of Equations 6212.  Solution of RTG Equations 6612.1 The field of a spherically symmetric object 6612.2 The exterior axisymmetric solution for a spinning mass 7713. Gravitational Collapse 8414. The Gravitational Field of a Nonstatic Spherically Symmetric Object in RTG. Birkhoff's Theorem 9615. Gravitational Waves 9916. A Homogeneous Isotropic Universe 10817. Post-Newtonian Approximates in RTG 12518. RTG and Solar System Gravitational Experiments. Ambiguities in the prediction of GR 13618.1 Equality of gravitational and inertial masses in RTG 13618.2 The equations of motion of a test body along a geodesic in Sun's gravitational field 14118.3 Deflection of light and radio waves in Sun's gravitational field 14318.4 The shift in Mercury's perihelion 14618.5 Time delay of radio signals in Sun's radio field (Shapiro's effect) 14918.6 Period of revolution of a text body in orbit 15518.7 Shirokov's effect 15818.8 Precession of gyroscope in orbit 16118.9 GR and gravitational effects in the solar system. Conclusions 16519. Post-Newtonian integrals of motion in RTG 16520. Do extended objects move along geodesics in the Riemann Space-Time? 17020.1 Post-Newtonian Conservation laws in Metric Theories of Gravitation 17520.2 The equation of motion of centre of mass of an extended object 17820.3 The Geodesic Motion equation 18020.4 The Earth's passive Gravitational mass 18120.5 Deviation of the motion of Earth's centre of mass from the reference geodesic 18320.6 The law of motion of an electrically charged test body 18420.7 Transformation to physical coordinates 18620.8 A formula for the strength of the compensating electric field 18720.9 Studying the motion of Earth's centre of mass by gravimetric experiments 18920.10 Studying the motion of Earth's centre of mass by tiltmeters 19020.11 Studying the motion of Earth's centre of mass in an experiment involving and artificial Earth satellite19220.12 Effects associated with presence of a preferred  Reference Frame  19520.13 Effects associated with anisotropy with respect to the centre of mass of the Galaxy 19621. The Peter-Mathews coefficient in RTG 197Appendix 1 202 Appendix 2 211 Appendix 3 212 Appendix 4 214 Appendix 5 221 References 224 Name Index  228 Subject Index 230