Geodesic-invariant equations of gravitation
classification
🌀 gr-qc
astro-phmath-phmath.MP
keywords
equationsgeodesicmappingsgravitationinvariantundercertainchristoffel
read the original abstract
Einstein's equations of gravitation are not invariant under geodesic mappings, i. e. under a certain class of mappings of the Christoffel symbols and the metric tensor which leave the geodesic equations in a given coordinate system invariant. A theory in which geodesic mappings play the role of gauge transformations is considered.
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Forward citations
Cited by 1 Pith paper
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Non-adiabatic dynamics of eccentric black-hole binaries in post-Newtonian theory
New non-orbit-averaged 2.5PN equations for eccentric non-spinning black-hole binaries derived via energy-momentum mappings, showing Peters 1964 orbit-averaged equations break at first pericenter.
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