Observing remnants by fermions' tunneling

Abstract

Abstract. The standard Hawking formula predicts the complete evaporation of black holes.In this paper, we introduce effects of quantum gravity into fermions' tunneling from ReissnerNordstrom and Kerr black holes. The quantum gravity effects slow down the increase of Hawking temperatures. This property naturally leads to a residue mass in black hole evaporation. The corrected temperatures are affected by the quantum numbers of emitted fermions. Meanwhile, the temperature of the Kerr black hole is a function of θ due to the rotation.arXiv:1307.0172v2 [gr-qc]

Covariant GUP Deformed Hamilton-Jacobi Method

“…For the noncovariant realization, the deformed Hamilton-Jacobi method incorporated with the GUP was studied in [29][30][31][32][33][34]. There, it has been shown that the corrections to the standard Hawking temperature depend on the masses and angular momentums of the emitted particles in a nontrivial way.…”

“…There, it has been shown that the corrections to the standard Hawking temperature depend on the masses and angular momentums of the emitted particles in a nontrivial way. In some cases, such corrections could lead to the remnant being left in the evaporation [29][30][31].…”

“…Similarly, one can also use HamiltonJacobi method to calculate effects of quantum gravity on particles' tunneling. Recently, the GUP modified HamiltonJacobi equations for fermions in curved spacetime have been introduced and the corrected Hawking temperatures have been derived [29][30][31][32][33][34].…”

“…When generalized to curved spacetime using the minimal-coupling principle, the Lorentz invariant deformed Klein-Gordon (KG) equation or Dirac equation becomes covariant. On the other hand, the deformed commutation relations in [15] are not Lorentz invariant and hence the deformed Dirac equation built on them in [30,31,33] is not covariant.…”

Quantum tunneling from a high dimensional Gödel black hole

“…After making the dragging coordinate transformation, applying Kerner and Mann's fermion tunneling method and the spacetime's symmetries of the Kerr Gödel black hole, we have resolved the modified Dirac equation proposed by authors in Refs. [28][29][30]. As a result, the revised tunneling probability has been workout, and the corrected tunneling temperature also discovered.…”