Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics

This book explores Lorentzian structures in space-time, proposes a new metrizable model of gravity, and investigates Maxwell equations and electrodynamics in the framework of the proposed model. The gravity model is restricted to three-independent components and is based on a single four-covector field.

Format: Hardback
Length: 189 pages
Publication date: 07 February 2023
Publisher: Springer International Publishing AG

This book delves into the realm of Lorentzian structures in the four-dimensional space-time, enriched with either a covector field of the time-direction or a scalar field of the global time. Moreover, it presents a novel metrizable model of gravity. Unlike the conventional General Relativity theory, where all ten components of the symmetric pseudo-metric are independent variables, the gravity model proposed here relies solely on a single four-covector field and is confined to possessing only three independent components. Nevertheless, the author demonstrates that the gravitational field, generated by a massive body resting and spherically symmetric in some coordinate system, is given by a pseudo-metric that aligns with the well-known Schwarzschild metric from General Relativity. Within the framework of the proposed model, the Maxwell equations and electrodynamics are also explored in depth. Specifically, the covariant formulation of electrodynamics for moving dielectrics and para/diamagnetic media is derived.

This book explores the fascinating world of Lorentzian structures in the four-dimensional space-time, further enhanced by the inclusion of either a covector field of the time-direction or a scalar field of the global time. Moreover, it presents a groundbreaking metrizable model of gravity. Unlike the traditional General Relativity theory, where all ten components of the symmetric pseudo-metric are independent variables, the gravity model proposed here relies solely on a single four-covector field and is constrained to have only three independent components. Nevertheless, the author showcases that the gravitational field, generated by a massive body resting and spherically symmetric in some coordinate system, is given by a pseudo-metric that aligns with the well-known Schwarzschild metric from General Relativity. Within the framework of the proposed model, the Maxwell equations and electrodynamics are also thoroughly investigated. Specifically, the covariant formulation of electrodynamics for moving dielectrics and para/diamagnetic media is derived.

Weight: 471g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031237614
Edition number: 1st ed. 2023