The Newtonian Limit of Hermitian Gravity

Details The Newtonian Limit of Hermitian Gravity The Newtonian Limit of Hermitian Gravity

2009-12-08

arxiv.org/abs/0912.1517v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 0 figures

Scientific paper

We construct the gauge invariant potentials of Hermitian gravity and derive the linearized equations of motion they obey. A comparison reveals a striking similarity to the Bardeen potentials of general relativity. We then consider the response to a point particle source, and discuss in what sense the solutions of Hermitian gravity reduce to the Newtonian potentials. In a rather intriguing way, the Hermitian gravity solutions exhibit a generalized reciprocity symmetry originally proposed by Born in the 1930s. Finally, we consider the trajectories of massive and massless particles under the influence of a potential. The theory correctly reproduces the Newtonian limit in three dimensions and the nonrelativistic acceleration equation. However, it differs from the light deflection calculated in linearized general relativity by 25%.

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