Evolution of arbitrary spin fields in the Schwarzschild-monopole spacetime
Abstract
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 imaginary part increases instead. For large overtone number n, these QNMs become evenly spaced and the spacing for the imaginary part equals to -i(1-H)3/2/(4M) which is dependent of H but independent of the quantum number l. It is surprisingly found that the late-time behavior is dominated by an inverse power-law tail t-2[1+(s+1/2)2+ (l-s)(l+s+1)/(1-H)] for each l, and as H0 it reduces to the Schwarzschild case t-(2l+3) which is independent of the spin number s.