On the fluid ball conjecture
Differential Geometry
2021-06-16 v3 Mathematical Physics
math.MP
Abstract
The fluid ball conjecture states that a static perfect fluid space-time is spherically symmetric. In this paper we construct a Robinson's divergence formula for the static perfect fluid space-time. Inspired by this conjecture, a rigidity result for the spatial factor of a static perfect fluid satisfying some boundary conditions is proved, provided that an equation of state holds.
Keywords
Cite
@article{arxiv.2004.14240,
title = {On the fluid ball conjecture},
author = {Fernando Coutinho and Benedito Leandro and Hiuri F. S. Reis},
journal= {arXiv preprint arXiv:2004.14240},
year = {2021}
}