Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics [E-Book] / by Arkady Poliakovsky.
This book investigates Lorentzian structures in the four-dimensional space-time, supplemented either by a covector field of the time-direction or by a scalar field of the global time. Furthermore, it proposes a new metrizable model of gravity. In contrast to the usual General Relativity theory, wher...
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Full text |
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Personal Name(s): | Poliakovsky, Arkady, author |
Edition: |
1st edition 2023. |
Imprint: |
Cham :
Springer,
2023
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Physical Description: |
X, 189 pages 1 illustration (online resource) |
Note: |
englisch |
ISBN: |
9783031237621 |
DOI: |
10.1007/978-3-031-23762-1 |
Subject (LOC): |
- 1. Preliminary introduction
- 2. Basic definitions and statements of the main results
- 2.1. Generalized-Lorentz's structures with time-direction and global time
- 2.1.1. Pseudo-Lorentzian coordinate systems
- 2.2. Kinematical Lorentz's 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.