Small Black Holes on Branes: Is the horizon regular or singular ?

Abstract

We investigate the following question: Consider a small mass, with $\epsilon$ (the ratio of the Schwarzschild radius and the bulk curvature length) much smaller than 1, that is confined to the TeV brane in the Randall-Sundrum I scenario. Does it form a black hole with a regular horizon, or a naked singularity? The metric is expanded in $\epsilon$ and the asymptotic form of the metric is given by the weak field approximation (linear in the mass). In first order of $\epsilon$ we show that the iteration of the weak field solution, which includes only integer powers of the mass, leads to a solution that has a singular horizon. We find a solution with a regular horizon but its asymptotic expansion in the mass also contains half integer powers.

arXiv commentAccepted for publication in PRD

References in corpus (29)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Einstein Equations on the 3-Brane World
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Gravity in the Randall-Sundrum Brane World
• Black holes on the brane
• Brane-World Black Holes
• Classical Black Hole Production in High-Energy Collisions
• Topological Black Holes in Anti-de Sitter Space
• Linearized Gravity in Brane Backgrounds
• Stars in the braneworld
• Black Holes from Cosmic Rays: Probes of Extra Dimensions and New Limits on TeV-Scale Gravity
• New black holes in the brane-world?
• Quantum Black Holes as Holograms in AdS Braneworlds
• Classical black hole evaporation in Randall-Sundrum infinite braneworld
• Charged Brane-World Black Holes
• Small localized black holes in a braneworld: Formulation and numerical method
• Relativistic Stars in Randall-Sundrum Gravity
• Quest for Localized 4-D Black Holes in Brane Worlds
• Bulk shape of brane-world black holes
• Effective theories and black hole production in warped compactifications
• Quest for Localized 4-D Black Holes in Brane Worlds. II : Removing the bulk singularities
• Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust
• On the Spectrum of the Radiation from a Naked Singularitry
• Naked singularities and quantum gravity
• Small Black Holes in Randall-Sundrum type I Scenario
• Radiation flux and spectrum in the Vaidya collapse model
• Quantum Radiation from Black Holes and Naked Singularities in Spherical Dust Collapse

Cited by in corpus (30)

• Thin accretion disks onto brane world black holes
• Braneworld stars and black holes
• Braneworld black holes
• Jacobi stability of the vacuum in the static spherically symmetric brane world models
• AdS flowing black funnels: Stationary AdS black holes with non-Killing horizons and heat transport in the dual CFT
• Galactic dark matter as a bulk effect on the brane
• Flowing Funnels: Heat sources for field theories and the AdS_3 dual of CFT_2 Hawking radiation
• Holographic thermal field theory on curved spacetimes
• Analytic approximation to 5 dimensional Black Holes with one compact dimension
• On the existence of a static black hole on a brane
• Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models
• Time-symmetric initial data of large brane-localized black hole in RS-II model
• Hawking Radiation from Higher-Dimensional Black Holes
• Vacuum polarization in asymptotically anti-de Sitter black hole geometries
• Brane-World Black Holes
• Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk
• Electric charge on the brane?
• On the Localisation of 4-Dimensional Brane-World Black Holes
• Thermodynamics of four-dimensional black objects in the warped compactification
• New Black-String Solutions for an Anti-de Sitter Brane in Scalar-Tensor Gravity
• Anti-Gravitating Brane-World Solutions for a de Sitter Brane in Scalar-Tensor Gravity
• Bridging Dimensions: General Embedding Algorithm and Field-Theory Reconstruction in 5D Braneworld Models
• Phases of Holographic Hawking Radiation on spatially compact spacetimes
• QCD-supression by Black Hole Production at the LHC
• Localized brane-world black hole analytically connected to an AdS${}_5$ boundary
• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
• Accelerating a Black Hole in Higher Dimensions
• On the Localisation of 4-Dimensional Brane-World Black Holes II: the general case
• Weyl fluid dark matter model tested on the galactic scale by weak gravitational lensing
• Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach