Upper bounds on the compactness at the innermost light ring of anisotropic horizonless spheres
General Relativity and Quantum Cosmology
2021-02-03 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
In the background of isotropic horizonless spheres, Hod recently provided an analytical proof of a bound on the compactness at the innermost light ring with the dominant energy and non-negative trace conditions. In this work, we extend the discussion of isotropic spheres to anisotropic spheres. With the same dominant energy and non-negative trace conditions, we prove that Hod's bound also holds in the case of anisotropic horizonless spheres.
Keywords
Cite
@article{arxiv.2006.02618,
title = {Upper bounds on the compactness at the innermost light ring of anisotropic horizonless spheres},
author = {Yan Peng},
journal= {arXiv preprint arXiv:2006.02618},
year = {2021}
}
Comments
7 pages