Lorentz-covariant description of weak gravitational fields

Details Lorentz-covariant description of weak gravitational fields Lorentz-covariant description of weak gravitational fields

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975velen......171v&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Jan. 1975, p. 171-178. In Russian.

Physics

Covariance, Field Theory (Physics), Gravitation Theory, Gravitational Fields, Relativity, Classical Mechanics, Field Strength, Linear Equations, Partial Differential Equations, Space-Time Functions, Tensors, Vector Analysis

Scientific paper

The present paper considers a gravitational field, assuming that the space-time metric is pseudo-Euclidean (relativistic). Lorentz-covariant field equations are derived under the additional assumption that the gravitational field is so weak that the field equations are linear. The derived equations are formally analogous to Maxwell's equations. Then, the duality principle holds: every familiar result of electrodynamics in a vacuum can be reformulated as a result of the Lorentz-covariant theory of weak gravitational fields.

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