Quantum gravity effects on scalar particle tunneling from rotating BTZ black hole

Abstract

Tunneling of scalar particles across the event horizon of rotating BTZ black hole is investigated using the Generalized Uncertainty Principle to study the corrected Hawking temperature and entropy in the presence of quantum gravity effects. We have determined explicitly the various correction terms in the entropy of rotating BTZ black hole including the logarithmic term of the Bekenstein–Hawking entropy [Formula: see text], the inverse term of [Formula: see text] and terms with inverse powers of [Formula: see text], in terms of properties of the black hole and the emitted particles — mass, energy and angular momentum. In the presence of quantum gravity effects, for the emission of scalar particles, the Hawking radiation and thermodynamics of rotating BTZ black hole are observed to be related to the metric element, hence to the curvature of space–time.

Generalized Klein–Gordon equation and quantum gravity corrections to tunneling of scalar particles from Kerr–Newman black hole

“…In this case the corrected Hawking temperature depends not only on the mass of the black hole but also on the mass, energy, angular momentum, charge and azimuthal angle of the emitted particle. Thus, the Hawking temperature and hence, the thermodynamics of black hole is related indirectly to the curvature of spacetime, which is in agreement with [58].…”

Tunneling of Massive Vector Particles from Types of BTZ-like Black Holes

“…Moreover, the Hawking temperature of BH increases due to the rotation parameter. Furthermore, our analysis is similar to the analysis for charged scalar and fermion particles tunneling from these BHs [59][60][61][62][63]. The charged scalar and fermion particles radiate through the BHs horizons with the same energy.…”

Noncommutative Correction to the Entropy of BTZ Black Hole with GUP

“…By applying the quantum tunneling formalism, the Hawking radiation from a new type of black hole in 2 + 1 dimensions has also been studied in [33], and in [34], the Hawking radiation of a charged rotating BTZ black hole with GUP was explored. Moreover, in [35,36], the entropy of the BTZ black hole with GUP has been determined, and in [37], by adopting a new principle of extended uncertainty, its effect on the thermodynamics of the black hole has been examined.…”