Preface  8

Chapter 1. Linear and nonlinear gravidynamics: static field of a collapsar  12

1.1. Introduction  12

1.2. Energy of gravitational field in gravidynamics and static field of a collapsar  13

1.3. Linear gravidynamics and the scalar component of gravitation  20

1.4. External field of a massive gravitating centre at distances of r >> GM / c2. Motion in a given field  27

1.5. Energy of static gravitational field of a central source  36

1.6. Nonlinear gravidynamics and the theorem on static field of a collapsar  46

1.7. Conclusion  53

Chapter 2. Nonlinear gravidynamics: energymomentum tensor of collapsar field  54

2.1. Introduction  54

2.2. The components of vector and tensor massless fields and gauge conditions  62

2.2.1. The vector field  62

2.2.2. Symmetric tensor field  67

2.3. Virtual vector field of a collapsar  71

2.4. The energymomentum tensor of the interacting gravitational field of a collapsar  76

2.5. Conclusions  83

Chapter 3. Properties of the strong static field of a collapsar in gravidynamics  88

3.1. Introduction  88

3.2. Test particle in a given field of form (3.4), particle mass in GD  94

3.3. The force acting on a test particle near the sphere r = GM / c2 and the possibility of equilibrium on this sphere  101

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

3.5. Motion in the given field (3.4) and a possibility of periodic pulsation of a sphere with R = r*  117

3.6. Utmost compact objects – collapsars and some properties of a bag with the radius R = r*  124

3.7. Conclusions  134

Chapter 4. Scalar gravitational waves and observational limitations for the energymomentum tensor of gravitational field  139

4.1. Introduction  139

4.2. Free scalar and tensor gravitational fields  144

4.3. The radiation of tensor and scalar gravitational waves in linear gravidynamics  148

4.4. The scalar radiation and secular reduction of orbital period of the binary system with a radio pulsar PSR 1913 + 16  155

4.5. Conclusions  162

Chapter 5. Masses of macroscopic quark configurations in metric and dynamic of gravitation theories  165

5.1. Introduction  165

5.2. Utmost inhomogeneous quark configurations in GR  166

5.3. Quarkgluon plasma in gravidynamics  178

5.4. Conclusions  188

Chapter 6. The observed mass distribution of compact stellar remnants in close binary star systems  190

6.1. Introduction to the problems  190

6.2. The mass spectrum of stellar compact objects: observational properties  191

6.3. On the peak in BH candidate mass distribution  194

Chapter 7. Gravidynamics and possible explanations of the observed collapsars mass spectrum  199

7.1. A selected mass value of an extremely compact object in gravidynamics  199

7.2. Observations of corecollapse supernovae, gammaray bursts, possible explanations of the observed mass spectrum of collapsars and stellar evolution  203

7.3. Summary  207

References  211
