Publication date: Jun 2019
Abstract:
Classical (quasinormal) and quantum (Hawking) radiations are
investigated for test fields in the background of a four dimensional,
spherically symmetric and asymptotically flat black hole in the
Einstein-dilaton-Gauss-Bonnet (EdGB) theory. The geometry of the EdGB
black hole deviates from the Schwarzschild geometry only slightly.
Therefore, here we observe that the quasinormal spectrum also deviates
from its Schwarzschild limit at most moderately, allowing for a 9%
decrease in the damping rate and up to a 6% decrease in the real
oscillation frequency. However, the intensity of Hawking radiation of an
electromagnetic and Dirac fields turned out to be much more sensitive
characteristic than its quasinormal spectrum, allowing for a 57% and 48%
increase of the energy emission rate respectively. The analytical
formula for the eikonal regime of quasinormal modes is derived for test
fields and it is shown that the correspondence between the eikonal
quasinormal modes and null geodesics is indeed fulfilled for test
fields, but is not expected for the gravitational one.
Authors:
Konoplya, R. A.; Zinhailo, A. F.; Stuchlík, Z.;