Incompressible fluid inside an astrophysical black hole?

Details Incompressible fluid inside an astrophysical black hole? Incompressible fluid inside an astrophysical black hole?

2007-07-18

arxiv.org/abs/0707.2768v2

Phys.Rev.D76:084012,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, 2 figures. Accepted for publication on Physical Review D: references added, typos corrected, test polished

Scientific paper

10.1103/PhysRevD.76.084012

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.

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