The Penrose inequality and apparent horizons
General Relativity and Quantum Cosmology
2009-11-10 v2
Abstract
A spherically symmetric spacetime is presented with an initial data set that is asymptotically flat, satisfies the dominant energy condition, and such that on this initial data , where M is the total (ADM) mass and A is the area of the apparent horizon. This provides a counterexample to a commonly stated version of the Penrose inequality, though it does not contradict the ``true'' Penrose inequality.
Keywords
Cite
@article{arxiv.gr-qc/0408066,
title = {The Penrose inequality and apparent horizons},
author = {Ishai Ben-Dov},
journal= {arXiv preprint arXiv:gr-qc/0408066},
year = {2009}
}
Comments
24 pages, 6 figures, revised for publication; revised section 6, added footnote no. 16, typos corrected