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A note on the evolution of arbitrary spin fields in the Schwarzschild-monopole spacetime

Qiyuan Pan and Jiliang Jing

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COMMENTS, REPLIES AND NOTES

The quasinormal modes (QNMs) and the late-time behavior of arbitrary spin fields are studied in the background of a Schwarzschild black hole with a global monopole (SBHGM). It has been shown that the real part of the QNMs for a SBHGM decreases as the symmetry breaking scale parameter H increases but the imaginary part increases instead. For the large overtone number n, these QNMs become evenly spaced and the spacing for the imaginary part equals −i(1 − H)3/2/(4M) which is dependent on H but independent on the quantum number l. It is surprisingly found that the late-time behavior is dominated by an inverse power-law tail t^{-2[1+\sqrt{(s+1/2)^{2}+(l-s)(l+s+1)/(1-H)}]} for each l, and as H → 0 it reduces to the Schwarzschild case t−(2l+3) which is independent on the spin number s.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

11.30.Qc Spontaneous and radiative symmetry breaking

11.25.Hf Conformal field theory, algebraic structures

MSC

81T40 Two-dimensional field theories, conformal field theories, etc.

83C57 Black holes

83C45 Quantization of the gravitational field

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 3 (7 February 2008)

Received 5 November 2007, in final form 4 December 2007

Published 14 January 2008



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