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

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.

arXiv comment11 pages, 9 figures, v2: published version

References in corpus (22)

• Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Holographic Phase Transitions with Fundamental Matter
• Thermodynamics of the brane
• Fate of the Black String Instability
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Critical phenomena in gravitational collapse (Physics Reports)
• Instabilities of Black Strings and Branes
• Topology change in General Relativity and the black-hole black-string transition
• Stretching the Horizon of a Higher Dimensional Small Black Hole
• Holographic Meson Melting
• Merger Transitions in Brane--Black-Hole Systems: Criticality, Scaling, and Self-Similarity
• On Choptuik's scaling in higher dimensions
• Bright branes for strongly coupled plasmas
• Curvature Corrections to Dynamics of Domain Walls
• Black Holes in Higher-Dimensional Gravity
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Domain wall interacting with a black hole: A new example of critical phenomena
• Soap Bubbles in Outer Space: Interaction of a Domain Wall with a Black Hole
• Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution
• Choptuik Scaling and The Merger Transition
• Quantum corrections to critical phenomena in gravitational collapse

Cited by in corpus (7)

• Dynamical Meson Melting in Holography
• Curvature corrections and topology change transition in brane-black hole systems: A perturbative approach
• Thick brane solutions and topology change transition on black hole backgrounds
• A topologically flat thick 2-brane on higher dimensional black hole backgrounds
• Axisymmetric Dirac-Nambu-Goto branes on Myers-Perry black hole backgrounds
• Thick Dirac-Nambu-Goto branes on black hole backgrounds
• Evolution of a black hole-inhabited brane close to reconnection