Teleparallel formalism of galilean gravity

Details Teleparallel formalism of galilean gravity Teleparallel formalism of galilean gravity

2011-07-07

arxiv.org/abs/1107.1275v1

Gravitation and Cosmology, 2011, Vol. 17, No. 3, pp. 242-251

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1134/S0202289311030091

A pseudo-Riemannian manifold is introduced, with light-cone coordinates in (4+1) dimensional space-time, to describe a Galilei covariant gravity. The notion of 5-bein and torsion are developed and a galilean version of teleparallelism is constructed in this manifold. The formalism is applied to two spherically symmetric configurations. The first one is an ansatz which is inferred by following the Schwarzschild solution in general relativity. The second one is a solution of galilean covariant equations. In addition, this Galilei teleparallel approach provides a prescription to couple the 5-bein field to the galilean covariant Dirac field.

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