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Table of Contents
1. Preliminary introduction
2. Basic definitions and statements of the main results
2.1. Generalized-Lorentzs structures with time-direction and global time
2.1.1. Pseudo-Lorentzian coordinate systems
2.2. Kinematical Lorentzs structure with global time
2.3. Kinematical and Dynamical generalized-Lorentz structures with time direction
2.4. Lagrangian of the motion of a classical point particle in a given pseudo-metric with time direction
2.5. Lagrangian of the electromagnetic field in a given pseudo-metric
2.6. Correlated pseudo-metrics
2.7. Kinematically correlated models of the genuine gravity
2.8. Lagrangian for dynamical time-direction and its limiting case
2.9 Lagrangian of the genuine gravity
3. Mass, charge and Lagrangian densities and currents of the system of classical point particles
4. The total simplified Lagrangian in (2.9.23), (2.9.24), for the limiting case of (2.9.20) in a cartesian coordinate system
5. The Euler-Lagrange for the Lagrangian of the motion of a classical point particle in a cartesian coordinate system
6. The Euler-Lagrange for the Lagrangian of the gravitational and Electromagnetic fields in (4.0.71) in a cartesian coordinate system
6.1. The Euler-Lagrange for the Lagrangian in (4.1.71) in a cartesian coordinate system
7. Gravity field of spherically symmetric massive resting body in a coordinate system which is cartesian and inertial simultaneously
7.1. Certain curvilinear coordinate system in the case of stationary radially symmetric gravitational field and relation to the Schwarzschild metric
8. Newtonian gravity as an approximation of (6.0.52)
8.1. Newtonian gravity as an approximation of (6.1.52)
9. Polarization and magnetization
9.1 Polarization and magnetization in a cartesian coordinate system
10. Detailed proves of the stated Theorems, Propositions and Lemmas
11. Appendix: some technical statements.
2. Basic definitions and statements of the main results
2.1. Generalized-Lorentzs structures with time-direction and global time
2.1.1. Pseudo-Lorentzian coordinate systems
2.2. Kinematical Lorentzs structure with global time
2.3. Kinematical and Dynamical generalized-Lorentz structures with time direction
2.4. Lagrangian of the motion of a classical point particle in a given pseudo-metric with time direction
2.5. Lagrangian of the electromagnetic field in a given pseudo-metric
2.6. Correlated pseudo-metrics
2.7. Kinematically correlated models of the genuine gravity
2.8. Lagrangian for dynamical time-direction and its limiting case
2.9 Lagrangian of the genuine gravity
3. Mass, charge and Lagrangian densities and currents of the system of classical point particles
4. The total simplified Lagrangian in (2.9.23), (2.9.24), for the limiting case of (2.9.20) in a cartesian coordinate system
5. The Euler-Lagrange for the Lagrangian of the motion of a classical point particle in a cartesian coordinate system
6. The Euler-Lagrange for the Lagrangian of the gravitational and Electromagnetic fields in (4.0.71) in a cartesian coordinate system
6.1. The Euler-Lagrange for the Lagrangian in (4.1.71) in a cartesian coordinate system
7. Gravity field of spherically symmetric massive resting body in a coordinate system which is cartesian and inertial simultaneously
7.1. Certain curvilinear coordinate system in the case of stationary radially symmetric gravitational field and relation to the Schwarzschild metric
8. Newtonian gravity as an approximation of (6.0.52)
8.1. Newtonian gravity as an approximation of (6.1.52)
9. Polarization and magnetization
9.1 Polarization and magnetization in a cartesian coordinate system
10. Detailed proves of the stated Theorems, Propositions and Lemmas
11. Appendix: some technical statements.