Analytic approximation to 5 dimensional Black Holes with one compact dimension

Abstract

We study black hole solutions in $R^4\times S^1$ space, using an expansion to fourth order in the ratio of the radius of the horizon, $\mu$, and the circumference of the compact dimension, $L$. A study of geometric and thermodynamic properties indicates that the black hole fills the space in the compact dimension at $\epsilon (\mu /L{)}^2\simeq 0.1$. At the same value of $\epsilon$ the entropies of the uniform black string and of the black hole are approximately equal.

21 pages, 4 figures. Replaces previous version, with added references and slightly altered discussion

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Cited by in corpus (29)

• Black Holes in Higher Dimensions
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Classical Effective Field Theory and Caged Black Holes
• Towers of Gravitational Theories
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Thermodynamics of static black objects in D dimensional Einstein-Gauss-Bonnet gravity with D-4 compact dimensions
• Black Holes in Higher-Dimensional Gravity
• Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• On non-uniform smeared black branes
• Multi-black hole configurations on the cylinder
• New stable phase of non-uniform charged black strings
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Distorted 5-dimensional vacuum black hole
• A Microscopic Model for the Black hole - Black string Phase Transition
• Caged black hole thermodynamics: Charge, the extremal limit, and finite size effects
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Critical Kaluza-Klein black holes and black strings in D = 10
• Three-Charge Black Holes on a Circle
• Phases of Higher Dimensional Black Holes
• The decay of hot KK space
• First Law of p-brane Thermodynamics
• Black Topologies Production in Extra Dimensions
• Entropy of Three-Charge Black Holes on a Circle