The quasinormal modes of charged scalar fields in KerrNewman black hole and its geometric interpretation
Abstract
It is wellknown that there is a geometric correspondence between highfrequency quasinormal modes (QNMs) and null geodesics (spherical photon orbits). In this paper, we generalize such correspondence to charged scalar field in KerrNewman spacetime. In our case, the particle and black hole are all charged, so one should consider nongeodesic orbits. Using the WKB approximation, we find that the real part of quasinormal frequency corresponds to the orbits frequency, the imaginary part of the frequency corresponds to the Lyapunov exponent of these orbits and the eigenvalue of angular equation corresponds to carter constant. From the properties of the imaginary part of quasinormal frequency of charged massless scalar field, we can still find that the QNMs of charged massless scalar field possess the zero damping modes in extreme KerrNewman spacetime under certain condition which has been fixed in this paper.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2015
 DOI:
 10.1007/JHEP11(2015)167
 arXiv:
 arXiv:1506.08276
 Bibcode:
 2015JHEP...11..167Z
 Keywords:

 Black Holes;
 Classical Theories of Gravity;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 30 pages, many figures, to appear in JHEP