The Symmetric Teleparallel Gravity

Details The Symmetric Teleparallel Gravity The Symmetric Teleparallel Gravity

2006-11-14

arxiv.org/abs/gr-qc/0611077v1

Turk.J.Phys. 30 (2006) 379-390

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Paper presented at The 5th Workshop on Quantization, Dualities and Integrable Systems, Pamukkale University, 23-28 January 200

Scientific paper

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.

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