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 Gravitation
In 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.
You can get the book here.
All credits to the original uploader.
For magnet links/ torrents go here.
PDF | OCR | Cover (Front Only) | 37 MB | Pagination | Bookmarks| 235 Pages
Page: 103 missing
Note: The scan quality is poor (though file size is large) maybe 100 dpi or less. OCR is not reliable and the text is barely readable at times. This is especially true when there is a lot of tensor notation. See sample below. Maybe we should LaTeX it! If anyone has access to a better link please post the link.
1. Critical Remarks on the Principle of Equivalence 14
2. Energy Momentum Pseudo-tensors of the Gravitational Field in GR 17
3. Inertial Mass in GR 19
4. Energy-Momentum Conservation in GR 26
5. Energy-Momentum and Angular Momentum Conservation as related to geometry of Space-Time 30
6. The Geometrization Principle and General RTG relations 38
7. The Basic Identity 42
8. RTG Equations 45
9. Relationships between Canonical Energy-Momentum Tensor and the Hilbert Tensor 53
10. The Gauge Principle and Uniqueness of RTG Lagrangian 57
11. A Generalization of RTG Systems of Equations 62
12. Solution of RTG Equations 66
12.1 The field of a spherically symmetric object 66
12.2 The exterior axisymmetric solution for a spinning mass 77
13. Gravitational Collapse 84
14. The Gravitational Field of a Nonstatic Spherically Symmetric Object in RTG. Birkhoff’s Theorem 96
15. Gravitational Waves 99
16. A Homogeneous Isotropic Universe 108
17. Post-Newtonian Approximates in RTG 125
18. RTG and Solar System Gravitational Experiments. Ambiguities in the prediction of GR 136
18.1 Equality of gravitational and inertial masses in RTG 136
18.2 The equations of motion of a test body along a geodesic in Sun’s gravitational field 141
18.3 Deflection of light and radio waves in Sun’s gravitational field 143
18.4 The shift in Mercury’s perihelion 146
18.5 Time delay of radio signals in Sun’s radio field (Shapiro’s effect) 149
18.6 Period of revolution of a text body in orbit 155
18.7 Shirokov’s effect 158
18.8 Precession of gyroscope in orbit 161
18.9 GR and gravitational effects in the solar system. Conclusions 165
19. Post-Newtonian integrals of motion in RTG 165
20. Do extended objects move along geodesics in the Riemann Space-Time? 170
20.1 Post-Newtonian Conservation laws in Metric Theories of Gravitation 175
20.2 The equation of motion of centre of mass of an extended object 178
20.3 The Geodesic Motion equation 180
20.4 The Earth’s passive Gravitational mass 181
20.5 Deviation of the motion of Earth’s centre of mass from the reference geodesic 183
20.6 The law of motion of an electrically charged test body 184
20.7 Transformation to physical coordinates 186
20.8 A formula for the strength of the compensating electric field 187
20.9 Studying the motion of Earth’s centre of mass by gravimetric experiments 189
20.10 Studying the motion of Earth’s centre of mass by tiltmeters 190
20.11 Studying the motion of Earth’s centre of mass in an experiment involving and artificial Earth satellite192
20.12 Effects associated with presence of a preferred Reference Frame 195
20.13 Effects associated with anisotropy with respect to the centre of mass of the Galaxy 196
21. The Peter-Mathews coefficient in RTG 197
Appendix 1 202
Appendix 2 211
Appendix 3 212
Appendix 4 214
Appendix 5 221
Name Index 228
Subject Index 230