A Study on Charged Neutron Star in $AdS_5$

TL;DR

This paper constructs charged neutron star models in five-dimensional anti-de Sitter space, analyzing their stability and phase transition behavior, and confirms the persistence of non-Fermi liquid features and oscillations in higher dimensions.

Contribution

It extends the study of charged neutron stars to $AdS_5$, demonstrating their instability at a specific radius and confirming non-Fermi liquid behavior in higher dimensions.

Findings

Stars become unstable at a specific radius (Chandrasekhar radius).

Non-Fermi liquid behavior persists in $AdS_5$ with Kosevich-Lifshitz oscillations.

Reproduces previous $AdS_4$ results in a higher-dimensional setting.

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 $AdS_5$ 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 $AdS_5$ charged star. The analysis shows that the non-Fermi liquid behavior found there in $AdS_4$ is still true in this higher dimensional case with the presence of Kosevich-Lifshitz oscillations.