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Approximation to the Second Order Approximation of Einstein Field Equations with a Cosmological Constant in a Flat Background

Clovis Jacinto de Matos
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Abstract

Einstein field equations with a cosmological constant are approximated to the second order in the perturbation to a flat background metric. The final result is a set of Einstein-Maxwell-Proca equations for gravity in the weak field regime. This approximation procedure implements the breaking of gauge symmetry in general relativity. A brief discussion of the physical consequences (Pioneer anomalous deceleration) is proposed in the framework of the gauge theory of gravity.

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Clovis Jacinto de Matos. 2007-03-15. Approximation to the Second Order Approximation of Einstein Field Equations with a Cosmological Constant in a Flat Background. https://arxiv.org/abs/gr-qc/0609116

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