Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity

Autor:	Djordjević, Stefan, Gočanin, Aleksandra, Gočanin, Dragoljub, Radovanović, Voja
Rok vydání:	2022
Předmět:	High Energy Physics - Theory
Zdroj:	Phys. Rev. D 106, 105015 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.106.105015
Popis:	As a contribution to the subject of the information loss paradox in (1+1)-dimensional gravitational systems, we study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction. The reduced action involves the cosmological constant and admits black hole solutions. After including the back-reaction of quantum fields to 1-loop order, we solve the semi-classical field equations perturbatively and compute the quantum correction to the Hawking temperature. We consider the quantum extremal surface approach and invoke the ``island rule'' to compute the fine-grained entropy of the Hawking radiation for an eternal Schwarzschild black hole and demonstrate that it follows the unitary Page curve. Comment: 11 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.07409 Zobrazit plný text záznamu View this record from Arxiv