A Toy Model for Topology Change Transitions: Role of Curvature Corrections

TL;DR

This paper investigates how curvature corrections influence phase transition orders in a brane-black hole system, revealing a shift from second to first order and discussing implications for black hole-black string mergers.

Contribution

It introduces a model incorporating curvature corrections to analyze phase transition modifications in brane-black hole interactions.

Findings

Second order phase transition becomes first order due to curvature effects.

Curvature corrections significantly alter the transition dynamics.

Implications for black hole and black string merger processes.

Abstract

We consider properties of near-critical solutions describing a test static axisymmetric D-dimensional brane interacting with a bulk N-dimensional black hole (N>D). We focus our attention on the effects connected with curvature corrections to the brane action. Namely, we demonstrate that the second order phase transition in such a system is modified and becomes first order. We discuss possible consequences of these results for merger transitions between caged black holes and black strings.