Black hole collision with a scalar particle in four, five and seven dimensional anti-de Sitter spacetimes: ringing and radiation

Abstract

In this work we compute the spectra, waveforms and total scalar energy radiated during the radial infall of a small test particle coupled to a scalar field into a $d$-dimensional Schwarzschild-anti-de Sitter black hole. We focus on $d=4,5$ and 7, extending the analysis we have done for $d=3$. For small black holes, the spectra peaks strongly at a frequency $\omega \sim d-1$, which is the lowest pure anti-de Sitter (AdS) mode. The waveform vanishes exponentially as $t\to \infty$, and this exponential decay is governed entirely by the lowest quasinormal frequency. This collision process is interesting from the point of view of the dynamics itself in relation to the possibility of manufacturing black holes at LHC within the brane world scenario, and from the point of view of the AdS/CFT conjecture, since the scalar field can represent the string theory dilaton, and 4, 5, 7 are dimensions of interest for the AdS/CFT correspondence.

16 pages, 13 figures. Published version

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• Gravitational energy loss in high energy particle collisions: ultrarelativistic plunge into a multidimensional black hole
• Exploring New Physics Frontiers Through Numerical Relativity
• Late-Time Tails of Wave Propagation in Higher Dimensional Spacetimes
• Eikonal quasinormal modes and shadow of string-corrected $d$-dimensional black holes
• Asymptotic quasinormal modes of string-theoretical $d$-dimensional black holes
• Accurate Quasinormal Modes of the Five-Dimensional Schwarzschild-Tangherlini Black Holes
• Trap Surface Formation in High-Energy Black Holes Collision
• Electromagnetic waves around dilatonic stars and naked singularities