The gauge condition in gravitation theory with a background metric
G.Sardanashvily

TL;DR
This paper discusses how a gauge condition arises in gravitation theory with a background metric, where the gravitational field is represented by a tensor and energy-momentum conservation influences its gauge choice.
Contribution
It introduces a specific gauge condition for the gravitational tensor field in background metric theories, linking energy-momentum conservation to gauge fixing.
Findings
Derivation of a gauge condition from energy-momentum conservation.
Clarification of the role of gauge choices in background metric gravitation.
Implications for the formulation of gravitational field equations.
Abstract
In gravitation theory with a background metric, a gravitational field is described by a (1,1)-tensor field. The energy-momentum conservation law imposes a gauge condition on this field.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Pulsars and Gravitational Waves Research
