1205.5715 (Mitsuhiro Matsumoto et al.)

Time evolution of a thin black ring via Hawking radiation    [PDF]

Mitsuhiro Matsumoto, Hirotaka Yoshino, Hideo Kodama

Black objects lose their mass and angular momenta by Hawking radiation. It was shown that if only scalar fields are emitted, a five-dimensional Myers-Perry black hole evolves toward a state with nonvanishing nondimensional rotation parameters, similarly to the case of a four-dimensional Kerr black hole. In this paper, we extend this analysis to the case of a black ring. By approximating a thin Pomeransky-Sen'kov black ring by a boosted Kerr string, we derive a set of equations that determines time evolution of quasistationary evaporation of the black ring. Our result shows that a thin black ring evaporates without changing the nondimensional rotational parameter along S1. In the case of an Emparan-Reall black ring, we solve those equations semianalytically and determine its time evolution.

View original: http://arxiv.org/abs/1205.5715