Stability of Schwarzschild singularity in non-local gravity
arXiv:1707.01119 · doi:10.1016/j.physletb.2017.09.018
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.
arXiv comment5 pages. v2: new section on black-hole formation, minor typos corrected elsewhere, references added
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