Scalar Synchrotron Radiation in the Schwarzschild-anti-de Sitter Geometry

Abstract

We present a complete relativistic analysis for the scalar radiation emitted by a particle in circular orbit around a Schwarzschild-anti-de Sitter black hole. If the black hole is large, then the radiation is concentrated in narrow angles- high multipolar distribution- i.e., the radiation is synchrotronic. However, small black holes exhibit a totally different behavior: in the small black hole regime, the radiation is concentrated in low multipoles. There is a transition mass at $M=0.427R$, where $R$ is the AdS radius. This behavior is new, it is not present in asymptotically flat spacetimes.

13 pages, 6 figures, published version. References added

References in corpus (1)

• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations

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