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Physical Review D

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Time evolution of a thin black ring via Hawking radiation

Mitsuhiro Matsumoto¹, Hirotaka Yoshino², and Hideo Kodama^1,2

¹Department of Particle and Nuclear Physics, The Graduate University for Advanced Studies (SOKENDAI), Tsukuba 305-0801, Japan
²Theory Center, Institute of Particles and Nuclear Studies, KEK, Tsukuba, Ibaraki 305-0801, Japan

Phys. Rev. D 89, 044016 – Published 13 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.044016

Abstract

Black objects lose their mass and angular momenta through evaporation by Hawking radiation, and the investigation of their time evolution has a long history. In this paper, we study this problem for a five-dimensional doubly spinning black ring. The black ring is assumed to emit only massless scalar particles. We consider a thin black ring with a small thickness parameter, $λ ≪ 1$ , which can be approximated by a boosted Kerr string locally. We show that a thin black ring evaporates with fixing its thickness parameter $λ$ . Further, in the case of an Emparan-Reall black ring, we derive analytic formulas for the time evolution, which has one parameter to be evaluated numerically. We find that the lifetime of a thin black ring is shorter by a factor of $O (λ^{2})$ compared to a five-dimensional Schwarzschild black hole with the same initial mass. We also study detailed properties of the Hawking radiation from the thin black ring, including the energy and angular spectra of emitted particles.

Article Text

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