Quantum-Gravitational Trans-Planckian Energy of a Time-Dependent Black Hole

Abstract

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work the analysis is extended to a rotating black hole solution of an Einstein-Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.

Quantum‐Gravitational Trans‐Planckian Radiation by a Rotating Black Hole

“…A robust structural pattern among the mode relationships was observed in [4] and [5]: the lowest ℏ‐ and κ‐order terms explicitly shown in the action (), i.e., the classical action plus terms, are important in determining the building blocks, such as , of the higher modes. (The fact that the presence of (but not the higher order terms) determine the building block modes can be seen by inspecting the structure of the field equations upon substituting the series ansatze.)…”

“…Before we analyze the quantum‐deformed solutions corresponding to the classical solution just listed, let us briefly review the works of [4] and [5], where the near‐horizon energy measured by an infalling observer was calculated. With the cosmological constant split into the classical and one‐loop parts, , the analysis was carried out for chargeless black holes, , in the background with .…”

“…It has also been shown that the renormalizability analysis can be extended to multi‐loops. With the non‐renormalizability no longer hampering our efforts, several issues at one‐loop have been examined, including a revisit of explicit and extensive one‐loop renormalization procedure all by itself [ 19,20 ] (see [15] for a review), the computation of the energy in the vicinity of the horizon of a time‐dependent black hole, [ 4,5 ] and the analysis of black hole information in the quantum gravitational framework. [ 21–23 ]…”

On Firewalls in quantum-corrected General Relativity

“…All of these observations deserve close attention and additional studies. (See [45,46] for further steps on this way. )…”

Scattering on Quasi-Spherical Black-Holes: Features and Beyond

“…It is believed that supermassive BHs (SMBHs) are located in the core of the AGN [4,5], and mechanisms of the UHECRs generation are directly related to BH physics; see, e.g., Refs. [6][7][8][9][10][11][12][13][14][15][16][17][18][19], in this respect. • Next, it is worth mentioning achievements of the Event Horizon Telescope (EHT) collaboration in revealing the BH event horizon (for M87 SMBH with the mass 6.5 × 10 9 M [20]).…”