Entropy spectrum and area spectrum of a modified Schwarzschild black hole via an action invariance
C. Z. Liu, G. X. Yu
Department of Physics, Shaoxing University, 312000 Shaoxing, China
Abstract
The spectroscopy of a quantum corrected Schwarzschild black hole in
the gravity's rainbow is investigated. By utilizing an action invariance
of the black hole and with the help of Bohr-Sommerfield quantization
rule, the entropy and area spectrum for the modified black hole are
calculated. Here, the quasinormal modes of
the black hole is not used. The obtained entropy
spectrum is equally spaced and has not dependence
on the quantum effects of the spacetime. However, due to the spectime quantum
effects of the modified black hole, the obtained
area spectra is not equally spaced and the area spacing depend
on the horizon area of the black hole. But, as the same to the
entropy spectrum, the area spectrum of the gravity's rainbow is independent
of the energy of test particle, although the modified spacetime has the
dependence on the particle energy.