Atom falling into a quantum corrected charged black hole and HBAR entropy

Abstract

In an earlier analysis \href{https://link.aps.org/doi/10.1103/PhysRevD.105.085007}{Phys. Rev. D 105 (2022) 085007}, we have explored the event of acceleration radiation for an atom freely falling into the event horizon of a quantum-corrected Schwarzschild black hole. We want to explore the acceleration-radiation when the atom is freely falling into the event horizon of a charged quantum-corrected black hole. We consider the quantum effects of the electromagnetic field along with the gravitational field in an asymptotic safety regime. Introducing the quantum improved Reisner-Nordström metric, we have calculated the excitation probability of a two-level atom freely falling into the event horizon of quantum improved charged black hole. Recently, in the case of the braneworld black hole (where the tidal charge has the same dimension as the square of the charge of a Reissner-Nordström black hole in natural units), we have observed from the form of the transition probability that the temperature will have no contribution in the first order of the tidal charge. We observe that for a quantum corrected Reissner-Nordström black hole, there is a second-order contribution in the charge parameter in the temperature that can be read off from the transition probability. Next, we calculate the HBAR entropy in this thought experiment and show that this entropy has a leading order Bekenstein-Hawking entropy term along with some higher order correction terms involving logarithmic as well as fractional terms of the black hole area due to infalling photons. We have finally investigated the validity of Wien's displacement law and compared the critical value of the field wavelength with the general Schwarzschild black hole and its corresponding quantum-corrected case.

arXiv comment12 pages LATEX, comments are welcome

References in corpus (28)

• Nonperturbative Evolution Equation for Quantum Gravity
• Logarithmic correction to the Bekenstein-Hawking entropy
• Renormalization group improved black hole spacetimes
• Matter matters in asymptotically safe quantum gravity
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Asymptotic safety of gravity-matter systems
• QED coupled to QEG
• Running Newton Constant, Improved Gravitational Actions, and Galaxy Rotation Curves
• Black holes and asymptotically safe gravity
• Black holes within Asymptotic Safety
• Structural aspects of asymptotically safe black holes
• An asymptotically safe solution to the U(1) triviality problem
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Dynamical renormalization of black-hole spacetimes
• Quantum Gravity Effects in the Kerr Spacetime
• Quantum gravity and Standard-Model-like fermions
• Radiation from Atoms Falling into a Black Hole
• From renormalization group flows to cosmology
• Quantum Improved Schwarzschild-(A)dS and Kerr-(A)dS Space-times
• Gravitational collapse in Quantum Einstein Gravity
• Quantum improved charged black holes
• Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole
• Gravitational antiscreening in stellar interiors
• Acceleration radiation of an atom freely falling into a Kerr black hole and near-horizon conformal quantum mechanics
• 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
• 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

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• Observational signature of Lorentz violation in acceleration radiation
• Inverse logarithmic correction in the HBAR entropy of an atom falling into a renormalization group improved charged black hole
• 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
• Horizon brightened acceleration radiation entropy in causal diamond geometry: A near-horizon perspective
• 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 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
• Acceleration radiation from vibrating atoms in Schwarzschild spacetime