Accelerating a Black Hole in Higher Dimensions

Abstract

Utilising the master equation with source for perturbations of the Schwarzschild-Tangherlini solution, we construct perturbative solutions representing a black hole accelerated by a string in higher dimensions. We show that such solutions can be uniquely determined by a single function representing the local tension of the string, under natural asymptotic and regularity conditions. We further study whether we can construct a localised braneworld black hole solution from such a solution by cutting off a region containing the string by a hypersurface and putting a vacuum brane on the boundary. We find that the solution corresponding to the string with constant tension does not allow such brane configuration when the bulk spacetime dimension is greater than four, in contrast to the four dimensional case. Further, we show that there exist infinitely many localised braneworld black hole solutions in the perturbative sense for four-dimensional bulk spacetime, if we allow non-uniform string tensions.

47 pages, 4 figures

References in corpus (25)

• An Alternative to Compactification
• Gravity in the Randall-Sundrum Brane World
• Black holes on the brane
• Brane-World Black Holes
• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
• New black holes in the brane-world?
• Brane-world solutions, standard cosmology, and dark radiation
• 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
• Quest for Localized 4-D Black Holes in Brane Worlds
• Bulk shape of brane-world black holes
• Black Hole Solutions in Braneworlds with Induced Gravity
• Black holes in the brane world:Time symmetric initial data
• Birth of the Brane World
• Small Black Holes on Branes: Is the horizon regular or singular ?
• Perturbations and Stability of Higher-Dimensional Black Holes
• The spectrum of gravitational waves in Randall-Sundrum braneworld cosmology
• Time-symmetric initial data of large brane-localized black hole in RS-II model
• Small Black Holes in Randall-Sundrum type I Scenario
• Perturbative Uniqueness of Black Holes near the Static Limit in All Dimensions
• Implication of Classical Black Hole Evaporation Conjecture to Floating Black Holes
• Vacuum branes in D-dimensional static spacetimes with spatial symmetry IO(D-2), O(D-1) or O+(D-2,1)

Cited by in corpus (8)

• On the existence of a static black hole on a brane
• Electric/magnetic universe with a cosmological constant
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• Algebraically special perturbations of the Schwarzschild solution in higher dimensions
• Wormhole $C$ metric
• A New Class of Accelerating Black Hole Solutions
• Extreme charged black holes in braneworld with cosmological constant
• Gauge-invariant perturbation theory on the Schwarzschild background spacetime Part III: -- Realization of exact solutions