A 2 PN/RM metric of General Relativity

TL;DR

This paper derives the 2PN/RM metric field equations in General Relativity using exponential parametrization and isotropic coordinates, aligning with IAU2000 standards.

Contribution

It introduces a derivation of the 2PN/RM metric equations employing exponential parametrization and specific coordinate choices, advancing the theoretical framework.

Findings

Derived 2PN/RM metric field equations from Einstein's equations.

Utilized exponential parametrization for the metric.

Applied $c^{-3}$ isotropic spatial coordinates as per IAU2000.

Abstract

We present a derivation of 2PN/RM metric field equations from the Einstein field equation in General Relativity. We use the exponential parametrization and the $c^{-3}$ isotropic spatial coordinates such as in IAU2000 recommendations.