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In this Chapter we would like to review a "~phenomenological~" approach taking into account the most fundamental feature of string theory or, more in general, of quantum gravity, whatever its origin, which is the existence of a minimal…

General Relativity and Quantum Cosmology · Physics 2017-05-26 Euro Spallucci , Anais Smailagic

We consider a class of black holes for which the area of the two-dimensional spatial cross-section has a minimum on the horizon with respect to a quasiglobal (Krusckal-like) coordinate. If the horizon is regular, one can generate a tubelike…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Oleg B. Zaslavskii

A short review on spherically symmetric static regular black holes and spherically symmetric non singular cosmological space-time is presented. Several models of regular black holes, including new ones, are considered. First, a large class…

General Relativity and Quantum Cosmology · Physics 2022-11-24 Lorenzo Sebastiani , Sergio Zerbini

We hereby focus on the analytic geodesic extension of several regular rotating black holes (RRBHs) obtained throughout the Newman-Janis algorithm starting from some popular spherically symmetric regular black holes. It turns out that if the…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Tian Zhou , Leonardo Modesto

Quantum gravitational corrections to the entropy of the Schwarzschild black hole, derived using the Wald entropy formula within an effective field theory framework, were presented in [X. Calmet, F. Kuipers Phys.Rev.D 104 (2021) 6, 066012].…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Alexey Dubinsky

We search for solutions describing slowly moving non-rotating black holes in the khrono-metric model, a modified gravity theory with preferred time (khronon) which arises at low energies from the non-projectable Horava gravity. We work in…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Andrew Kovachik , Sergey Sibiryakov

We show via an explicit construction how an infinite tower of higher-curvature corrections generically leads to a resolution of the Schwarzschild singularity in any spacetime dimension $D \ge 5$. The theories we consider have two key…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar

We discuss the "quantum deformed Schwarzschild spacetime" as originally introduced by Kazakov and Solodukhin in 1993, and investigate the precise sense in which it does and does not satisfy the desiderata for being a "regular black hole".…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Thomas Berry , Alex Simpson , Matt Visser

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

By assuming simultaneously the unitarity of the Hawking evaporation and the universality of Bekenstein entropy bound as well as the validity of cosmic censorship conjecture, we find that the black hole evaporation rate could evolve from the…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Shao-Jiang Wang

We investigate the massless scalar field perturbations of a new loop quantum gravity motivated regular black hole proposed by Ashtekar {\it et al.} in [Phys.Rev.Lett. 121, 241301 (2018), Phys.Rev.D 98, 126003 (2018)]. The spacetime of this…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Ramin G. Daghigh , Michael D. Green , Gabor Kunstatter

We study quantum corrections for the Schwarzshild black hole by considering it as a vacuum solution of a 2D dilaton gravity theory obtained by spherical reduction of 4D gravity coupled with matter. We find perturbatively the vacuum solution…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Maja Buric , Voja Radovanovic , Aleksandar Mikovic

Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein's gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a…

High Energy Physics - Theory · Physics 2017-05-24 Xavier Calmet , Basem Kamal El-Menoufi

We compute analytically differential invariants for accelerating, rotating and charged black holes with a cosmological constant $\Lambda$. In particular, we compute in closed form novel explicit algebraic expressions for curvature…

General Relativity and Quantum Cosmology · Physics 2023-11-03 G. V. Kraniotis

We investigate regular rotating black holes predicted by asymptotically safe gravity, where the Newton constant varies with energy scale and modifies the near horizon geometry. These solutions remain asymptotically flat and avoid central…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Chirantana Bhattacharjee , Subhadip Sau , Avijit Mukherjee

We derive the full spacetime metric of a generalized uncertainty-inspired quantum black hole. We examine a previous model of the interior in this approach and show that extending its metric to the full spacetime leads to serious issues in…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Federica Fragomeno , Douglas M. Gingrich , Samantha Hergott , Saeed Rastgoo , Evan Vienneau

In this paper we present some stringy corrections to black hole spacetimes emerging from string T-duality. As a first step, we derive the static Newtonian potential by exploiting the relation between the T-duality and the path integral…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Piero Nicolini , Euro Spallucci , Michael F. Wondrak

The Kerr solution is the cornerstone of General Relativity (GR) for modelling astrophysical rotating black holes and for testing GR through gravitational-wave observations and black hole imaging. Understanding how the Kerr geometry is…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Jibril Ben Achour , Adolfo Cisterna , Hugo Roussille

One-loop divergences appearing in the entropy of a quantum black hole are proven to be completely eliminated by the standard renormalization of both the gravitational constant and other coefficients by the $R^2$-terms in the effective…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri V. Fursaev , Sergey N. Solodukhin

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer