The Symmetric Teleparallel Gravity
摘要
We study symmetric teleparallel (STP) gravity model, in which only spacetime non-metricity is nonzero. First we obtain STP equivalent Einstein-Hilbert Lagrangian and give an approach for a generic solution in terms of only metric tensor. Then we obtain a spherically symmetric static solution to the Einstein's equation in STP space-time and discuss the singularities. Finally, we study a model given by a Lagrangian 4-form quadratic in non-metricity. Thus, we seek Schwarzschild-type solutions because of its observational success and obtain some sets of solutions. Finally, we discuss physical relevance of the solutions.
引用
@article{arxiv.gr-qc/0611077,
title = {The Symmetric Teleparallel Gravity},
author = {M. Adak},
journal= {arXiv preprint arXiv:gr-qc/0611077},
year = {2007}
}
备注
Paper presented at The 5th Workshop on Quantization, Dualities and Integrable Systems, Pamukkale University, 23-28 January 2006, Denizli, Turkey