Research of Gravitation in Flat Minkowski Space

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is very convenient for studying the perihelion/periastron shift...

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Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Trencevski, Kostadin, Celakoska, Emilija G, Balan, Vladimir
Format: Article
Language:English
Subjects:
Center of gravity
Electromagnetic fields
Equations of motion
Mathematical analysis
Minkowski space
Relativity
Tensors
Theory of relativity
Online Access:Get full text
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Summary:In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is very convenient for studying the perihelion/periastron shift, deflection of the light rays near the Sun and the frame dragging together with geodetic precession, i.e. effects where angles are involved. Although the corresponding results are obtained in rather different way, they are the same as in the General Relativity. The results about the barycenter of two bodies are also the same as in the General Relativity. Comparing the derived equations of motion for the \(n\)-body problem with the Einstein-Infeld-Hoffmann equations, it is found that they differ from the EIH equations by Lorentz invariant terms of order \(c^{-2}\).
ISSN:2331-8422
DOI:10.48550/arxiv.0404060