Effective metric outside bootstrapped Newtonian sources
General Relativity and Quantum Cosmology
2021-03-10 v2 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
We determine the complete space-time metric from the bootstrapped Newtonian potential generated by a static spherically symmetric source in the surrounding vacuum. This metric contains post-Newtonian parameters which can be further used to constrain the complete underlying dynamical theory. For values of the post-Newtonian parameters within experimental bounds, the reconstructed metric appears very close to the Schwarzschild solution of General Relativity in the whole region outside the event horizon. The latter is however larger in size for the same value of the mass compared to the Schwarzschild case.
Keywords
Cite
@article{arxiv.2101.12471,
title = {Effective metric outside bootstrapped Newtonian sources},
author = {Roberto Casadio and Andrea Giusti and Iberê Kuntz and Giulio Neri},
journal= {arXiv preprint arXiv:2101.12471},
year = {2021}
}
Comments
27 pages, 3 figures, minor changes to match the accepted version in PRD