Lagrange formulation of the symmetric teleparallel gravity

Details Lagrange formulation of the symmetric teleparallel gravity Lagrange formulation of the symmetric teleparallel gravity

2005-05-05

arxiv.org/abs/gr-qc/0505025v3

Int.J.Mod.Phys. D15 (2006) 619-634

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Corrected typos, Accepted for publication in IJMP-D

Scientific paper

10.1142/S0218271806008474

We develop a symmetric teleparallel gravity model in a space-time with only the non-metricity is nonzero, in terms of a Lagrangian quadratic in the non-metricity tensor. We present a detailed discussion of the variations that may be used for any gravitational formulation. We seek Schwarzschild-type solutions because of its observational significance and obtain a class of solutions that includes Schwarzschild-type, Schwarzschild-de Sitter-type and Reissner-Nordstr\"{o}m-type solutions for certain values of the parameters. We also discuss the physical relevance of these solutions.

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