Schwarzschild generalized black hole horizon and the embedding space

Abstract

By performing a Taylor expansion along the extra dimension of a metric describing a black hole on a brane, we explore the influence of the embedding space on the black hole horizon. In particular, it is shown that the existence of a Kottler correction of the black hole on the brane, in a viable braneworld scenario, might represent the radius of the black string collapsing to zero, for some point(s) on the black string axis of symmetry along the extra dimension. Further scrutiny on such black hole corrections by braneworld effects is elicited, the well-known results in the literature are recovered as limiting cases, and we assert and show that when the radius of the black string transversal section is zero, as one moves away from the brane into the bulk, is indeed a singularity.

7 pages, to appear in European Phys. J. C

References in corpus (13)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Black Strings and p-Branes are Unstable
• Brane-World Gravity
• Black holes on the brane
• New Experimental Limits on Macroscopic Forces Below 100 Microns
• Classical black hole evaporation in Randall-Sundrum infinite braneworld
• Our World as an Expanding Shell
• Gravitational collapse on the brane: a no-go theorem
• Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world
• Bulk shape of brane-world black holes
• Gravitational Field Equations on and off a 3-Brane World
• Spherical Gravitating Systems of Arbitrary Dimension

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• Regular Bulk Solutions and Black Strings from Dynamical Braneworlds with Variable Tension
• Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation
• Black holes in realistic branes: black string-like objects?
• Cosmologies of Multiple Spherical Brane-universe Model
• Properties of generalized Schwarzschild spacetimes with extra dimensions