Planar black holes in holographic axion gravity: Islands, Page times, and scrambling times
Mansoori S.A.H. Luongo O. Mancini S. Mirjalali M. Rafiee M. Tavanfar A.
15 December 2022American Physical Society
Physical Review D
2022#106Issue 12
The present work investigates the entanglement entropies of the Hawking radiations, Page times, and scrambling times for the eternal planar black holes in the holographic axion gravity. The solutions correspond to a new class of charged black holes, because the boundary diffeomorphism is broken due to the graviton mass induced by the axion fields in the bulk. The information theoretical aspects of these black hole solutions are determined upon applying the island rule for the entanglement entropy. Like nonextremal charged black holes, the radiation entropy grows linearly in the no-island configurations, while it is saturated at late times by asymptotic values set by the Bekenstein-Hawking entropy in the island configurations, with the boundary being located slightly outside the outer horizon. In particular, for the extremal black planes of holographic axion gravity, we find that (a) the entanglement entropy of the Hawking radiation is ill-defined at the early times when the island is absent, (b) it tends to a distinctive constant at the late times, and (c) the late-time location of the island is indeed universal. Moreover, we investigate how the Page time is affected by the holographic massive gravity deformation. For neutral solutions at the small deformation parameter, and for charged solutions with almost-extremal deformation parameter, we find that the Page transition happens at earlier times.
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Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, Iran
Scuola di Scienze e Tecnologie, Università di Camerino, Via Madonna delle Carceri 9, Camerino, 62032, Italy
Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, Pisa, 56127, Italy
NNLOT, Al-Farabi Kazakh National University, Al-Farabi Avenue 71, Almaty, 050040, Kazakhstan
Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via Alessandro Pascoli 23c, Perugia, 06123, Italy
Champalimaud Research, Champalimaud Center for the Unknown, Lisboa, 1400-038, Portugal
Institute of Neuroscience, University of Oregon, Eugene, 97403, OR, United States
Faculty of Physics
Scuola di Scienze e Tecnologie
Dipartimento di Matematica
NNLOT
Istituto Nazionale di Fisica Nucleare
Champalimaud Research
Institute of Neuroscience
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