Incompressible fluid inside an astrophysical black hole?
arXiv:0707.2768 · doi:10.1103/PhysRevD.76.084012
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.
30 pages, 2 figures. Accepted for publication on Physical Review D: references added, typos corrected, test polished
References in corpus (26)
- The Large N Limit of Superconformal Field Theories and Supergravity
- The World as a Hologram
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- Noncommutative geometry inspired Schwarzschild black hole
- Gravitational Vacuum Condensate Stars
- A Four Dimensional Generalization of the Quantum Hall Effect
- Dilaton Gravity in Two Dimensions
- Three-Dimensional Gravity Revisited
- Noncommutative geometry inspired charged black holes
- How to tell a gravastar from a black hole
- Gravitational Correction to Running of Gauge Couplings
- On Quantum Deformation of the Schwarzschild Solution
- The Internal Geometry of an Evaporating Black Hole
- How the Change in Horizon Area Drives Black Hole Evaporation
- Universe Generation from Black Hole Interiors
- Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
- The Semi-Classical Back Reaction to Black Hole Evaporation
- Gravitational Collapse of a Radiating Shell
- Rapidly Rotating Fermi Gases
- Exact Bosonic and Supersymmetric String Black Hole Solutions
- States of the Dirac equation in confining potentials
- On time evolution of quantum black holes
- BTZ black hole and quantum Hall effect in the bulk/boundary dynamics
- Classical dynamics and stability of collapsing thick shells of matter
- Back Reaction from Trace Anomaly in RN-blackholes Evaporation