Raychaudhuri equation in scalar-tensor theory
General Relativity and Quantum Cosmology
2022-08-30 v3
Abstract
Implications of the Raychaudhuri equation in focusing of geodesic congruences are studied in the framework of scalar--tensor theory of gravity. Specifically, we investigate the Brans--Dicke theory and Bekenstein's scalar field theory. In both of these theories, we deal with a static spherically symmetric distribution and a spatially homogeneous and isotropic cosmological model as specific examples. We find that it is possible to violate the convergence condition under reasonable physical assumptions. This leads to the possibility of avoiding a singularity.
Cite
@article{arxiv.2103.08869,
title = {Raychaudhuri equation in scalar-tensor theory},
author = {Shibendu Gupta Choudhury and Ananda Dasgupta and Narayan Banerjee},
journal= {arXiv preprint arXiv:2103.08869},
year = {2022}
}
Comments
16 pages, 5 figures, matches with the published version