A Study on Charged Neutron Star in $Ad{S}_5$

Abstract

Motivated by an open question raised in recent times regarding the phase transition during the collapse of a neutron star to form a black hole and related stability issues, we have constructed charged neutron stars in $Ad{S}_5$ and show that these stars become unstable at a particular value of their radius, regarded as the Chandrasekhar radius. We reproduced the calculations recently done in [20] in our $Ad{S}_5$ charged star. The analysis shows that the non-Fermi liquid behavior found there in $Ad{S}_4$ is still true in this higher dimensional case with the presence of Kosevich-Lifshitz oscillations.

20 pages, 6 figures

References in corpus (9)

• Lectures on holographic methods for condensed matter physics
• Holographic duality with a view toward many-body physics
• String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
• Towards strange metallic holography
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• Real-time response in AdS/CFT with application to spinors
• Degenerate Stars and Gravitational Collapse in AdS/CFT
• Holographic Neutron Stars
• Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence

Cited by in corpus (3)

• Spectral function of the supersymmetry current
• D-dimensional self-gravitating lattice gas in general relativity
• Equations of state and compact stars in gauge/gravity duality