Stability of Schwarzschild singularity in non-local gravity
General Relativity and Quantum Cosmology
2017-09-20 v2 High Energy Physics - Theory
Abstract
In a previous work, it was shown that all Ricci-flat spacetimes are exact solutions for a large class of non-local gravitational theories. Here we prove that, for a subclass of non-local theories, the Schwarzschild singularity is stable under linear perturbations. Thus, non-locality may be not enough to cure all the singularities of general relativity. Finally, we show that the Schwarzschild solution can be generated by the gravitational collapse of a thin shell of radiation.
Keywords
Cite
@article{arxiv.1707.01119,
title = {Stability of Schwarzschild singularity in non-local gravity},
author = {Gianluca Calcagni and Leonardo Modesto},
journal= {arXiv preprint arXiv:1707.01119},
year = {2017}
}
Comments
5 pages. v2: new section on black-hole formation, minor typos corrected elsewhere, references added