GUP modified Hawking radiation in bumblebee gravity

Abstract

The effect of Lorentz symmetry breaking (LSB) on the Hawking radiation of Schwarzschildlike black hole found in the bumblebee gravity model (SBHBGM) is studied in the framework of quantum gravity. To this end, we consider Hawking radiation spin-0 (bosons) and spin-1 2 particles (fermions), which go in and out through the event horizon of the SBHBGM. We use the modified Klein-Gordon and Dirac equations, which are obtained from the generalized uncertainty principle (GUP) to show how Hawking radiation is affected by the GUP and LSB. In particular, we reveal that, independent of the spin of the emitted particle, GUP causes a change in the Hawking temperature of the SBHBGM. Furthermore, we compute the semi-analytic greybody factors (for both bosons and fermions) of the SBHBGM. Thus, we reveal that LSB is effective on the greybody factor of the SBHBGM such that its redundancy decreases the value of the greybody factor. Our findings are graphically depicted.

Modified black hole solution with a background Kalb–Ramond field

“…Similar results were also obtained in other modified black holes, such as the LSB bumblebee [19] and the regular black hole [20].…”

Greybody factor and quasinormal modes of Regular Black Holes

“…Estimation of this greybody factor is usually a difficult task and often one has to resort to approximations, usually in low/high frequency limits. There are monodromy methods [8,9] and computations in a variety of scenarios [10][11][12][13], where one can also employ numerical approaches to estimate them [14]. In particular, it should be noticed that a considerable part of the literature is dedicated to the case of black holes with singularities.…”

Polarization effects in Kerr black hole shadow due to the coupling between photon and bumblebee field

“…An exact Schwarzschild-like black hole solution in this bumblebee gravity model is obtained and some classical tests are studied [14]. The gravitational deflection angle of light [25] and the Hawking radiation [26] are studied in this black hole spacetime. Moreover, this black hole solution is generalized to the rotation case and the corresponding shadow [27], accretion disk [28] and the deflection of particle [29] around the black hole are studied.…”