Uniqueness of photon spheres in static vacuum asymptotically flat spacetimes
Differential Geometry
2014-09-05 v2 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
Adapting Israel's proof of static black hole uniqueness, we show that the Schwarzschild spacetime is the only static vacuum asymptotically flat spacetime that possesses a suitably defined photon sphere.
Keywords
Cite
@article{arxiv.1406.5475,
title = {Uniqueness of photon spheres in static vacuum asymptotically flat spacetimes},
author = {Carla Cederbaum},
journal= {arXiv preprint arXiv:1406.5475},
year = {2014}
}
Comments
Journal version (contemp. math.: Complex Analysis and Dynamical Systems VI)