Modulated Instability in Five-Dimensional U(1) Charged AdS Black Hole with R**2-term

TL;DR

This paper investigates how the R**2 correction influences the stability of modulated instabilities in five-dimensional U(1) charged AdS black holes, finding that such fluctuations remain stable across the parameter range.

Contribution

It provides the first analysis of R**2 term effects on modulated instability in five-dimensional charged AdS black holes.

Findings

R**2 term stabilizes fluctuations in the entire bulk.

Fluctuations remain stable within the allowed R**2 coefficient range.

First-order R**2 corrections do not induce instability.

Abstract

We study the effect of R**2 term to the modulated instability in the U(1) charged black hole in five-dimensional Anti-de Sitter space-time. We consider the first-order corrections of R**2 term to the background and the linear order perturbations in the equations of motion. From the analysis, we clarify the effect of R**2 term in the modulated instability, and conclude that fluctuations are stable in the whole bulk in the range of values the coefficient of R**2 term can take.