Horizon entanglement area law from regular black hole thermodynamics

التفاصيل البيبلوغرافية
العنوان: Horizon entanglement area law from regular black hole thermodynamics
المؤلفون: Belfiglio, Alessio, Chandran, S. Mahesh, Luongo, Orlando, Mancini, Stefano
سنة النشر: 2024
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: 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 Bekestein-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.
Comment: 14 pages, 7 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.03775
رقم الأكسشن: edsarx.2407.03775
قاعدة البيانات: arXiv