**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.;