Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Warping Effects in Strongly Perturbed Metrics

Version 1 : Received: 15 October 2020 / Approved: 16 October 2020 / Online: 16 October 2020 (07:49:03 CEST)

How to cite: Frasca, M.; Liberati, R..M.; Rossi, M. Warping Effects in Strongly Perturbed Metrics. Preprints 2020, 2020100337 (doi: 10.20944/preprints202010.0337.v1). Frasca, M.; Liberati, R..M.; Rossi, M. Warping Effects in Strongly Perturbed Metrics. Preprints 2020, 2020100337 (doi: 10.20944/preprints202010.0337.v1).

Abstract

A technique devised some years ago permits to study a theory in a regime of strong perturbations. This translate into a gradient expansion that, at the leading order, can recover the BKL solution. We solve exactly the leading order equations in a spherical symmetric case 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.

Subject Areas

General relativity; Schwarzschild solution; Warp factor

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