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Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics

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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Hlavní autor: Poliakovsky, Arkady (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Vydání:1st ed. 2023.
Témata:
General relativity (Physics).
Gravitation.
Quantum electrodynamics.
General Relativity.
Classical and Quantum Gravity.
Quantum Electrodynamics, Relativistic and Many-body Calculations.
On-line přístup:https://doi.org/10.1007/978-3-031-23762-1
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Obsah:
  • 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 cartesiancoordinate 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: sometechnical statements.

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