vbid/9783031237621

Description

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.Typham this is the title: Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics