Inverse logarithmic correction in the HBAR entropy of an atom falling into a renormalization group improved charged black hole

Abstract

In this work, we have considered a spherically symmetric non-rotating charged black hole geometry where both the Newton's gravitational constant and the charge of the black hole flows with the energy scale. We have used the Kretschmann scale identification to write down the finite cutoff for the momentum scale in terms of the proper distance. Introducing the flow of running couplings, the event horizon radius of the black hole using quantum improved Reissner-Nordstrom metric was found in \href{https://doi.org/10.1103/PhysRevD.104.066016}{Phys. Rev. D 104 (2021) 066016}. We have, in this work, explored the thought experiment of a two-level atom freely falling into the event horizon of a quantum improved charged black hole and have computed the transition probability of the atom for going from its ground state to the excited state via emission of a virtual photon. We find that the probability deviates slightly from the pure Planckian spectrum. We have showed that this deviation is due to the presence of incomplete lower gamma function in the distribution function. We have then computed the horizon brightened acceleration radiation entropy and found that it is identical to the Bekenstein-Hawking entropy followed by the renormalization group correction terms including an inverse logarithmic and a square root of the area term due to emitting photons.

13 pages LATEX. Comments are welcome. OTM

References in corpus (11)

• Fiber-optical analogue of the event horizon
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Dynamical renormalization of black-hole spacetimes
• Quantum Gravity Effects in the Kerr Spacetime
• Quantum improved charged black holes
• Gravitational antiscreening in stellar interiors
• Equivalence principle and HBAR entropy of an atom falling into a quantum corrected black hole
• Near horizon aspects (and beyond) of acceleration radiation of an atom falling into a large class of static spherically symmetric black hole geometries
• Atom falling into a quantum corrected charged black hole and HBAR entropy
• Horizon brightened accelerated radiation in the background of braneworld black holes
• Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole

Cited by in corpus (8)

• Acceleration Radiation from Derivative-Coupled Atoms Falling in Modified Gravity Black Holes
• HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
• Acceleration Radiation of Freely Falling Atoms: Nonlinear Electrodynamic Effects
• Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes
• Horizon brightened acceleration radiation entropy in causal diamond geometry: A near-horizon perspective
• Horizon brightened acceleration radiation from massive vector fields
• Quasinormal Mode Spectroscopy via Horizon-Brightened Quantum Optics
• Horizon-Brightened Acceleration Radiation and Optical Signatures of Generic Regular Black Holes from Nonlinear Electrodynamics