Warping effects in strongly perturbed metrics
General Relativity and Quantum Cosmology
2020-12-08 v2
Abstract
A technique devised some years ago permits to study a theory in a regime of strong perturbations. This translates into a gradient expansion that, at the leading order, can recover the BKL solution in general relativity. We solve exactly the leading order Einstein equations in a spherical symmetric case, assuming a Schwarzschild metric under the effect of a time-dependent perturbation, and we show that the 4-velocity in such a case is multiplied by an exponential warp factor when the perturbation is properly applied. This factor is always greater than one. We will give a closed form solution of this factor for a simple case. Some numerical examples are also given.
Cite
@article{arxiv.2010.11031,
title = {Warping effects in strongly perturbed metrics},
author = {Marco Frasca and Riccardo Maria Liberati and Massimiliano Rossi},
journal= {arXiv preprint arXiv:2010.11031},
year = {2020}
}
Comments
19 pages, 2 figures. Version accepted in Physics