| Preface | 8
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| Chapter 1. Linear and nonlinear gravidynamics: static field of a collapsar | 12
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| 1.1. Introduction | 12
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| 1.2. Energy of gravitational field in gravidynamics and static field of a collapsar | 13
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| 1.3. Linear gravidynamics and the scalar component of gravitation | 20
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| 1.4. External field of a massive gravitating centre at distances of r >> GM / c2. Motion in a given field | 27
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| 1.5. Energy of static gravitational field of a central source | 36
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| 1.6. Nonlinear gravidynamics and the theorem on static field of a collapsar | 46
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| 1.7. Conclusion | 53
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| Chapter 2. Nonlinear gravidynamics: energy-momentum tensor of collapsar field | 54
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| 2.1. Introduction | 54
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| 2.2. The components of vector and tensor massless fields and gauge conditions | 62
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| 2.2.1. The vector field | 62
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| 2.2.2. Symmetric tensor field | 67
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| 2.3. Virtual vector field of a collapsar | 71
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| 2.4. The energy-momentum tensor of the interacting gravitational field of a collapsar | 76
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| 2.5. Conclusions | 83
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| Chapter 3. Properties of the strong static field of a collapsar in gravidynamics | 88
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| 3.1. Introduction | 88
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| 3.2. Test particle in a given field of form (3.4), particle mass in GD | 94
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| 3.3. The force acting on a test particle near the sphere r = GM / c2 and the possibility of equilibrium on this sphere | 101
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| 3.4. The scale of forces, the maximum acceleration of gravity force near the collapsar surface and the sphere of maximum instability for a given mass M | 108
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| 3.5. Motion in the given field (3.4) and a possibility of periodic pulsation of a sphere with R = r* | 117
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| 3.6. Utmost compact objects – collapsars and some properties of a bag with the radius R = r* | 124
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| 3.7. Conclusions | 134
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| Chapter 4. Scalar gravitational waves and observational limitations for the energy-momentum tensor of gravitational field | 139
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| 4.1. Introduction | 139
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| 4.2. Free scalar and tensor gravitational fields | 144
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| 4.3. The radiation of tensor and scalar gravitational waves in linear gravidynamics | 148
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| 4.4. The scalar radiation and secular reduction of orbital period of the binary system with a radio pulsar PSR 1913 + 16 | 155
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| 4.5. Conclusions | 162
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| Chapter 5. Masses of macroscopic quark configurations in metric and dynamic of gravitation theories | 165
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| 5.1. Introduction | 165
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| 5.2. Utmost inhomogeneous quark configurations in GR | 166
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| 5.3. Quark-gluon plasma in gravidynamics | 178
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| 5.4. Conclusions | 188
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| Chapter 6. The observed mass distribution of compact stellar remnants in close binary star systems | 190
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| 6.1. Introduction to the problems | 190
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| 6.2. The mass spectrum of stellar compact objects: observational properties | 191
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| 6.3. On the peak in BH candidate mass distribution | 194
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| Chapter 7. Gravidynamics and possible explanations of the observed collapsars mass spectrum | 199
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| 7.1. A selected mass value of an extremely compact object in gravidynamics | 199
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| 7.2. Observations of core-collapse supernovae, gamma-ray bursts, possible explanations of the observed mass spectrum of collapsars and stellar evolution | 203
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| 7.3. Summary | 207
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| References | 211
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Sokolov Vladimir Vladimirovich Dr. Sci. in Physics and Mathematics, leading researcher of the Special Astrophysical Observatory of the Russian Academy of Sciences, author of more than 180 scientific publications. Main fields of research: study of massive cosmic objects, gamma-ray bursts, and theory of gravitation. V. V. Sokolov was one of the first researchers in the USSR who identified a gamma-ray burst in the optical range.
