Lagrange formulation of the symmetric teleparallel gravity
General Relativity and Quantum Cosmology
2009-11-11 v3
Abstract
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.
Cite
@article{arxiv.gr-qc/0505025,
title = {Lagrange formulation of the symmetric teleparallel gravity},
author = {Muzaffer Adak and Mestan Kalay and Ozcan Sert},
journal= {arXiv preprint arXiv:gr-qc/0505025},
year = {2009}
}
Comments
Corrected typos, Accepted for publication in IJMP-D