Gravitation and Special Relativity

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way to a better understanding of the structure of the...

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Bibliographic Details
Published inarXiv.org
Main Author Sattinger, D H
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.05.2013
Subjects
Cosmology
Derivation
Einstein equations
Electromagnetic fields
Field theory
Gravitation theory
Mathematical analysis
Maxwell's equations
Perturbation theory
Physics - General Physics
Quantum theory
Relativistic theory
Relativity
Tensors
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Summary:A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way to a better understanding of the structure of the energy-momentum tensor in the Einstein Field Equations. Hence it is directly relevant to problems in modern cosmology. The derivation, independent of the perturbation theory of Einstein's equations, puts the gravitational and electromagnetic fields on an equal footing for weak fields, contrary to generally held views. The historical objections to a linear Lorentz invariant field theory of gravity are refuted for weak fields.
ISSN:2331-8422
DOI:10.48550/arxiv.1305.6875