Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics

Kirjan Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics (2024) on kirjoittanut Arkady Poliakovsky. Kirjan kieli on englanti, ja sen on kustantanut Springer International Publishing AG. Kirja on laajuudeltaan 189 sivua ja se on nidottu.

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, where all ten components of the symmetric pseudo-metric are independent variables, the gravity model presented here essentially depends only on a single four-covector field, and is restricted to have only three-independent components. However, the author proves that the gravitational field, governed by the proposed model and generated by some massive body, resting and spherically symmetric in some coordinate system, is given by a pseudo-metric that coincides with the well known Schwarzschild metric from General Relativity. The Maxwell equations and electrodynamics are also investigated in the framework of the proposed model. Inparticular, the covariant formulation of electrodynamics of moving dielectrics and para/diamagnetic media is derived.