The decay of hot KK space

Abstract

The non-perturbative instabilities of hot Kaluza-Klein spacetime are investigated. In addition to the known instability of hot space (the nucleation of 4D black holes) and the known instability of KK space (the nucleation of bubbles of nothing by quantum tunneling), we find two new instabilities: the nucleation of 5D black holes, and the nucleation of bubbles of nothing by thermal fluctuation. These four instabilities are controlled by two Euclidean instantons, with each instanton doing double duty via two inequivalent analytic continuations; thermodynamic instabilities of one are shown to be related to mechanical instabilities of the other. I also construct bubbles of nothing that are formed by a hybrid process involving both thermal fluctuation and quantum tunneling. There is an exact high-temperature/low-temperature duality that relates the nucleation of black holes to the nucleation of bubbles of nothing.

arXiv commentv2: minor improvements; new appendix on merger point

References in corpus (35)

• The Dynamics of General Relativity
• Generalized gravitational entropy
• Black Strings and p-Branes are Unstable
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• On non-uniform black branes
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• The Decay of Magnetic Fields in Kaluza-Klein Theory
• Instabilities of Black Strings and Branes
• A critical dimension in the black-string phase transition
• Topology change in General Relativity and the black-hole black-string transition
• Connecting black holes and black strings
• Thermal derivation of the Coleman-De Luccia tunneling prescription
• Clean Time-Dependent String Backgrounds from Bubble Baths
• Oscillating bounce solutions and vacuum tunneling in de Sitter spacetime
• Properties of Kaluza-Klein black holes
• Small Black Holes on Cylinders
• Classical Effective Field Theory and Caged Black Holes
• Black Rings, Boosted Strings and Gregory-Laflamme
• On Black-Brane Instability In an Arbitrary Dimension
• A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• Nonuniform black strings in various dimensions
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Black hole instabilities and local Penrose inequalities
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Analytic approximation to 5 dimensional Black Holes with one compact dimension
• On 'Nothing'
• Bubbles of Nothing in Flux Compactifications
• Bubbles of Nothing and the Fastest Decay in the Landscape
• No naked singularities in homogeneous, spherically symmetric bubble spacetimes?
• Critical bubbles and implications for critical black strings
• Collapse of Kaluza-Klein Bubbles
• The Case of the Disappearing Instanton

Cited by in corpus (6)

• Smooth Bubbling Geometries Without Supersymmetry
• Schwinger pair production at nonzero temperatures or in compact directions
• Bubble Bag End: A Bubbly Resolution of Curvature Singularity
• Transplanckian Censorship and the Local Swampland Distance Conjecture
• Waves in the Witten Bubble of Nothing and the Hawking Wormhole
• Morse-Bott inequalities, Topology Change and Cobordisms to Nothing