Incompressible fluid inside an astrophysical black hole?
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
It is argued that under natural hypothesis the Fermions inside a black hole formed after the collapse of a neutron star could form a non compressible fluid (well before reaching the Planck scale) leading to some features of integer Quantum Hall Effect. The relations with black hole entropy are analyzed. Insights coming from Quantum Hall Effect are used to analyze the coupling with Einstein equations. Connections with some cosmological scenarios and with higher dimensional Quantum Hall Effect are shortly pointed out.
Cite
@article{arxiv.0707.2768,
title = {Incompressible fluid inside an astrophysical black hole?},
author = {Fabrizio Canfora},
journal= {arXiv preprint arXiv:0707.2768},
year = {2008}
}
Comments
30 pages, 2 figures. Accepted for publication on Physical Review D: references added, typos corrected, test polished