Hawking fluxes and Anomalies in Rotating Regular Black Holes with a Time-Delay

TL;DR

This paper calculates Hawking fluxes from rotating regular black holes with a time-delay using anomaly cancellation, demonstrating the method's applicability to certain metrics and exploring effects like quantum gravity, rotation, and time-delay.

Contribution

It applies the anomaly cancellation method to compute Hawking fluxes for rotating regular black holes with a time-delay, including effects of quantum gravity, rotation, and time-delay, in specific metrics.

Findings

Hawking fluxes involve quantum gravity effects, rotation, and time-delay.

Dimensional reduction feasible in two of three proposed metrics.

Computed Hawking fluxes are more realistic and relevant to black hole thermodynamics.

Abstract

Based on the anomaly cancellation method we are going to compute the Hawking fluxes (the Hawking thermal flux and the total flux of energy-momentum tensor) from a four-dimensional rotating regular black hole with a time-delay. To this purpose, in the three metrics proposed in arXiv:1510.08828, we try to perform the dimensional reduction in which the anomaly cancellation method is feasible at the near-horizon region in a general scalar field theory. As a result we can demonstrate that the dimensional reduction is possible in two of those metrics. Hence we perform the anomaly cancellation method and compute the Hawking fluxes in those two metrics. Our Hawking fluxes involve the three effects: 1) the quantum gravity effect regularizing the core of the black holes, 2) rotation of the black hole, 3) the time-delay. Further in this paper toward the metric in which the dimensional could not be performed, we argue that it would be some problematic metric, and mention its cause. The Hawking fluxes we compute in this study could be considered to correspond to more realistic Hawking fluxes. Further what Hawking fluxes can be obtained from the anomaly cancellation method would be interesting in terms of the relation between a consistency of quantum field theories and black hole thermodynamics.