A Penrose-Like Inequality with Charge
General Relativity and Quantum Cosmology
2015-06-16 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We establish a Penrose-like inequality for general (not necessarily time-symmetric) initial data sets of the Einstein-Maxwell equations, which satisfy the dominant energy condition. More precisely, it is shown that the ADM energy is bounded below by an expression which is proportional to the sum of the square root of the area of the outermost future (or past) apparent horizon and the square of the total charge. The proportionality constants depend on the solution to a linear elliptic equation which incorporates the charge. In addition, a corrected version of the Penrose-like inequality in [13] is presented.
Cite
@article{arxiv.1308.3591,
title = {A Penrose-Like Inequality with Charge},
author = {Marcus A. Khuri},
journal= {arXiv preprint arXiv:1308.3591},
year = {2015}
}
Comments
This paper contains the corrigendum to: Commun. Math. Phys., 290 (2009), 779-788, arXiv:0910.5039