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Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

The quantum mechanics of Schwarzschild-de Sitter black holes is of great recent interest because of their peculiar thermodynamic properties as well as their realization in modern dark energy cosmology which indicates the presence of a small…

Quantum Physics · Physics 2022-02-22 Amy Joseph , Tristen White , Viti Chandra , Michael McGuigan

Recently Ali et al. (2009) proposed a Generalized Uncertainty Principle (or GUP) with a linear term in momentum (accompanied by Plank length). Inspired by this idea we examine the Wheeler-DeWitt equation for a Schwarzschild black hole with…

General Relativity and Quantum Cosmology · Physics 2011-06-28 Barun Majumder

Recently, two models of quantum-corrected Schwarzschild-like black holes were developed within Effective Quantum Gravity, and the spectra of bosonic perturbations have been analyzed in several recent studies. In this work, we investigate…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Zainab Malik

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 perform a covariant (Lagrangian) quantization of perturbative gravity in the background of a Schwarzschild black hole. The key tool is a decomposition of the field into spherical harmonics. We fix Regge-Wheeler gauge for modes with…

High Energy Physics - Theory · Physics 2021-10-13 Renata Kallosh , Adel A. Rahman

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

The classical action of quantum gravity, determined by renormalization, contains infinitely many independent couplings and can be expressed in different perturbatively equivalent ways. We organize it in a convenient form, which is based on…

General Relativity and Quantum Cosmology · Physics 2013-05-14 Damiano Anselmi

One proposal by Verlinde \cite{Verlinde:2010hp} is that gravity is not a fundamental, but an entropic force. In this way, Verlinde has provide us with a way to derive the Newton's law of gravitation from the Bekenstein-Hawking entropy-area…

General Relativity and Quantum Cosmology · Physics 2016-06-22 R. G. L. Aragão , C. A. S. Silva

We derive the linearly perturbed matching conditions between a Schwarzschild spacetime region with stationary and axially symmetric perturbations and a FLRW spacetime with arbitrary perturbations. The matching hypersurface is also perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marc Mars , Filipe C. Mena , Raül Vera

We investigate the classical stability of Schwarzschild-AdS black hole in a massive theory of the Einstein-Weyl gravity. It turns out that the linearized Einstein tensor perturbations exhibit unstable modes featuring the Gregory-Laflamme…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yun Soo Myung

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

We consider the perturbation of the Schwarzschild solution by the perimeter action. The asymptotic behaviour of the solution at infinity and at the horizon are calculated and analysed in the first approximation. The perturbation is…

General Relativity and Quantum Cosmology · Physics 2021-05-19 George Savvidy

We consider the revised Deser-Woodard model of nonlocal gravity by reformulating the related field equations within a suitable tetrad frame. This transformation significantly simplifies the treatment of the ensuing differential problem…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Rocco D'Agostino , Vittorio De Falco

The Schwarzschild geometry, describing the gravitational field of a spherical mass in classical vacuum, is one of the most famous vacuum solutions of the Einstein field equations. Classical vacuum is an idealization that does not include…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Raúl Carballo-Rubio , Francesco Di Filippo , Shinji Mukohyama , Kazumasa Okabayashi

As shown recently (W. Kummer, H. Liebl, D.V. Vassilevich, Nucl. Phys. B 544, 403 (1999)) 2d quantum gravity theories --- including spherically reduced Einstein-gravity --- after an exact path integral of its geometric part can be treated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , W. Kummer , D. V. Vassilevich

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 study the "improved dynamics" for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou {\em et al.} in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 R. Gambini , J. Olmedo , J. Pullin

Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rico K. L. Lo , Yucheng Yin

Employing the Newman-Penrose formalism and following the classic Teukolsky-like approach, we linearise the field equations of quadratic gravity on the Kerr background and combine them with the linearised Ricci and Bianch identities. This…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Simon Knoska , David Kofron , Robert Svarc