Spatially modulated instabilities of an AdS black hole

Fuente: arXiv
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Autori principali: Gurung, Alisha, Mukhopadhyay, Subir
Natura: Preprint
Pubblicazione: 2026
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author Gurung, Alisha
Mukhopadhyay, Subir
author_facet Gurung, Alisha
Mukhopadhyay, Subir
contents We analyze instabilities of an Einstein-Maxwell theory obtained from an N=2, D=5 supergravity. The theory admits a gauge Chern-Simons term in presence of which we consider perturbative instability of an AdS black hole solution. We find that the strength of the gauge Chern-Simons coupling saturates the threshold value for which the instability occurs, which we have observed both in the near horizon limit as well as analysis of the normal modes. Inclusion of terms upto fourth order in derivatives admits a mixed gauge-gravitational Chern-Simons term as well. Considering both the Chern-Simons terms, we find that momentum dependent instability sets in below a critical temperature giving rise to a bell-curve phase diagram which implies this would lead to a spatially modulated solution. We have considered all the terms upto quartic order of the derivatives and discuss the possible approach for further analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2604_19306
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spatially modulated instabilities of an AdS black hole
Gurung, Alisha
Mukhopadhyay, Subir
High Energy Physics - Theory
We analyze instabilities of an Einstein-Maxwell theory obtained from an N=2, D=5 supergravity. The theory admits a gauge Chern-Simons term in presence of which we consider perturbative instability of an AdS black hole solution. We find that the strength of the gauge Chern-Simons coupling saturates the threshold value for which the instability occurs, which we have observed both in the near horizon limit as well as analysis of the normal modes. Inclusion of terms upto fourth order in derivatives admits a mixed gauge-gravitational Chern-Simons term as well. Considering both the Chern-Simons terms, we find that momentum dependent instability sets in below a critical temperature giving rise to a bell-curve phase diagram which implies this would lead to a spatially modulated solution. We have considered all the terms upto quartic order of the derivatives and discuss the possible approach for further analysis.
title Spatially modulated instabilities of an AdS black hole
topic High Energy Physics - Theory
url https://arxiv.org/abs/2604.19306