2008arXiv (Cornell University)Open access

General 2PM metric of General Relativity

O. Minazzoli, Bertrand Chauvineau

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Abstract

We present a derivation of the 2PM metric field equations from the Einstein field equation in General Relativity. We use the exponential parametrization and isotropic spatial coordinates such as in IAU2000 recommendations. Then we give solutions in peculiar gauges such as the harmonic gauge or such as a gauge we call ”the minimal inversibility gauge”. 1

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We present a derivation of the 2PM metric field equations from the Einstein field equation in General Relativity. We use the exponential parametrization and isotropic spatial coordinates such as in IAU2000 recommendations. Then we give solutions in peculiar gauges such as the harmonic gauge or such as a gauge we call ”the minimal inversibility gauge”. 1

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Available abstract

We present a derivation of the 2PM metric field equations from the Einstein field equation in General Relativity. We use the exponential parametrization and isotropic spatial coordinates such as in IAU2000 recommendations. Then we give solutions in peculiar gauges such as the harmonic gauge or such as a gauge we call ”the minimal inversibility gauge”. 1

Key concepts: Theoretical motivation for general relativity, General relativity, Parametrization (atmospheric modeling), Introduction to the mathematics of general relativity, Mathematics of general relativity, Metric (unit), Einstein, Theory of relativity

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