Stars in M theory (made up of intersecting branes)
Abstract
We study stars in M theory. First, we obtain the analog of Oppenheimer -- Volkoff equations in a suitably general set up. We obtain analytically the asymptotic solutions to these equations when the equations of state are linear. We study perturbations around such solutions in several examples and, following a standard method, use their behaviour to determine whether an instability is present or not. In this way, we obtain a generalisation of the corresponding results of Chavanis. We also find that stars in M theory have instabilities. Therefore, if sufficiently massive, such stars will collapse. We discuss the significance of these (in)stabilities within the context of Mathur's fuzz ball proposal.
Keywords
Cite
@article{arxiv.1312.7762,
title = {Stars in M theory (made up of intersecting branes)},
author = {S. Kalyana Rama},
journal= {arXiv preprint arXiv:1312.7762},
year = {2014}
}
Comments
40 pages. Version 2: Several minor changes in the text. Version 3: Two paragraphs added and a few minor changes made in section 6. To appear in Physical Review D