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Exploring quantum effects from black hole thermodynamics has always been a pivotal topic. In recent years, the free energy landscape and ensemble-averaged theory based on the Euclidean path integral approach have provided further…

High Energy Physics - Theory · Physics 2025-06-19 Yu-Qi Liu , Hao-Wei Yu , Peng Cheng

Recently, a quantum mechanical theory of quantum spaces described by a large $N$ non-commutative coordinates is proposed as a model for quantum gravity [1]. In this paper, we construct Kerr black hole as a rotating noncommutative geometry…

High Energy Physics - Theory · Physics 2025-08-13 Chong-Sun Chu

We study the quantum gravitational effects in spherically symmetric black hole spacetimes. The effective quantum spacetime felt by a point-like test mass is constructed by ``renormalization group improving'' the Schwarzschild metric. The…

High Energy Physics - Theory · Physics 2009-10-31 A. Bonanno , M. Reuter

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov , Yuri Shtanov

A spherically symmetric evolution model of self-gravitating matter with the equation of state P=wE (where w=const<-1) is considered. The equations of the model are written in the frame of reference comoving with matter. A criterion for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexander Shatskiy

The loop quantum dynamics of Kantowski-Sachs spacetime and the interior of higher genus black hole spacetimes with a cosmological constant has some peculiar features not shared by various other spacetimes in loop quantum cosmology. As in…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Naresh Dadhich , Anton Joe , Parampreet Singh

We consider a spherically symmetric gravitational collapse of a tachyon field with an inverse square potential, which is coupled with a barotropic fluid. By employing an holonomy correction imported from loop quantum cosmology, we analyse…

General Relativity and Quantum Cosmology · Physics 2015-01-16 Joao Marto , Yaser Tavakoli , Paulo Vargas Moniz

The success of loop quantum cosmology to resolve classical singularities of homogeneous models has led to its application to the classical Schwarszchild black hole interior, which takes the form of a homogeneous Kantowski-Sachs model. The…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Jerónimo Cortez , William Cuervo , Hugo A. Morales-Técotl , Juan C. Ruelas

Regular black hole spacetimes are obtained from an effective Lagrangian for Quantum Einstein Gravity. The interior matter is modeled as a dust fluid, which interacts with the geometry through a multiplicative coupling function denoted as…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Alfio Bonanno , Daniele Malafarina , Antonio Panassiti

Recently it was shown that, in an effective description motivated by loop quantum gravity, singularities of the Kruskal space-time are naturally resolved [1,2]. In this note we explore a few properties of this quantum corrected effective…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Abhay Ashtekar , Javier Olmedo

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

In our recent work [Van de Moortel, The coexistence of null and spacelike singularities inside spherically symmetric black holes], we analyzed the transition between null and spacelike singularities in spherically symmetric dynamical black…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Maxime Van de Moortel

By using the minisuperspace model for the interior metric ofstatic black holes, we solve the Wheeler-DeWitt equation to study quantum mechanics of the horizon geometry. Our basic idea is to introduce the gravitational mass and the…

General Relativity and Quantum Cosmology · Physics 2017-02-01 K. Nakamura , S. Konno , Y. Shiro , A. Tomimatsu

The loop quantization of the Schwarzschild interior region, as described by a homogeneous anisotropic Kantowski-Sachs model, is re-examined. As several studies of different -inequivalent- loop quantizations have shown, to date there exists…

General Relativity and Quantum Cosmology · Physics 2016-02-15 Alejandro Corichi , Parampreet Singh

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

In this paper we review various models of curvature singularity free black holes. In the first part of the review we describe semi-classical solutions of the Einstein equations which, however, contains a "quantum" input through the matter…

High Energy Physics - Theory · Physics 2017-06-13 Euro Spallucci , Anais Smailagic

Based on spherically symmetric reduction of loop quantum gravity, quantization of the portion interior to the horizon of a Reissner-Nordstr\"{o}m black hole is studied. Classical phase space variables of all regions of such a black hole are…

General Relativity and Quantum Cosmology · Physics 2012-08-14 Mojtaba Taslimi Tehrani , Hoshang Heydari

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background. This theory allows the existence of a static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Antonio De Felice , Shinji Tsujikawa

The problem of how space-time responds to gravitating quantum matter in full quantum gravity has been one of the main questions that any program of quantization of gravity should address. Here we analyze this issue by considering the…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Miguel Campiglia , Rodolfo Gambini , Javier Olmedo , Jorge Pullin