Horizon entanglement area law from regular black hole thermodynamics
Belfiglio A. Chandran S.M. Luongo O. Mancini S.
1 February 2025American Physical Society
Physical Review D
2025#111Issue 2
We investigate the thermodynamics of regular black hole configurations via quantum analogs of entropy and energy - namely, the entanglement entropy and entanglement energy - near the event horizon of Bardeen and Hayward black holes. Following standard approaches, we introduce a quantum scalar field propagating in such black hole spacetimes and discretize the field degrees of freedom on a lattice of spherical shells. We observe that, at leading order, the entanglement entropy associated with the scalar field is proportional to Bekenstein-Hawking entropy, while the corresponding entanglement energy scales proportionally to Komar energy. We then compute the heat capacity in both scenarios, discussing the black hole stability conditions and the possible appearance of second-order phase transitions. Finally, we extend our analysis to the black hole core, showing that in this sector entanglement energy serves as a valuable tool towards discriminating between singular and regular solutions.
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School of Science and Technology, University of Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia, Perugia, 06123, Italy
Department of Physics, Indian Institute of Technology Bombay, Mumbai, 400076, India
SUNY Polytechnic Institute, Utica, 13502, NY, United States
INAF - Osservatorio Astronomico di Brera, Milano, Italy
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
School of Science and Technology
Istituto Nazionale di Fisica Nucleare (INFN)
Department of Physics
SUNY Polytechnic Institute
INAF - Osservatorio Astronomico di Brera
Al-Farabi Kazakh National University
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