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Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics (Hardcover, 1st ed. 2023)
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Lorentzian Geometrical Structures with Global Time, Gravity and Electrodynamics (Hardcover, 1st ed. 2023)
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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. In particular,
the covariant formulation of electrodynamics of moving dielectrics
and para/diamagnetic media is derived.
General
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