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We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

General Relativity and Quantum Cosmology · Physics 2016-08-23 M. Basovník , O. Semerák

In this work we study the Schwarzschild metric in the context of canonical quantum gravity inside the horizon, close of horizon and near the black hole singularity. Using this standard quantization procedure, we show that the horizon is…

General Relativity and Quantum Cosmology · Physics 2020-01-16 Laysa G. Martins , K. Luz-Burgoa , José A. C. Nogales

We present a comprehensive study of the quasinormal modes of a new class of nonlocal static and spherically symmetric black hole (BH) solutions within the framework of the revised Deser-Woodard theory of gravity. These solutions are…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Rocco D'Agostino , Vittorio De Falco

Simple arguments related to the entropy of black holes strongly constrain the spectrum of the area operator for a Schwarzschild black hole in loop quantum gravity. In particular, this spectrum is fixed completely by the assumption that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 I. B. Khriplovich

We propose a quantum gravity equation owing to the geometrical quantization of general relativity, namely the Schr\"{o}dinger-Einstein equation. Quantum effects of a Schwarzschild black hole are demonstrated by solving the quantum equation…

General Physics · Physics 2022-05-24 Yoshimasa Kurihara

We investigate quadratic algebraically special perturbations (ASPs) of the Schwarzschild black hole. Their dynamics are derived from the expansion up to second order in perturbation of the most general algebraically special twisting vacuum…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Jibril Ben Achour , Hugo Roussille

Gravitational waves emitted by distorted black holes, such as those arising from the coalescence of binary black holes, or a falling compact star into a supermassive black hole, carry not only information about the corresponding spacetime…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Chao Zhang , Tao Zhu , Anzhong Wang

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Jian-hua He , Zhenyu Wu

We study classical and quantum aspects of electromagnetic perturbations on black hole space-times. We develop an elegant formalism introduced by Wald, which sets up the theory of linear perturbations in a Type-D background in a compact and…

General Relativity and Quantum Cosmology · Physics 2008-02-14 Marc Casals

We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

The theory of perturbations of spherically symmetric self-similar black holes is presented, in the Newman-Penrose formalism. It is shown that the wave equations for gravitational, electromagnetic, and scalar waves are separable, though not…

General Relativity and Quantum Cosmology · Physics 2007-06-25 A. J. S. Hamilton

A set of effective equations for the gauge-invariant gravitational perturbations in the interior of a spherically symmetric, non-rotating black hole is derived within the framework of hybrid loop quantum cosmology. The quantum zero-mode of…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Beatriz Elizaga Navascués , Alvaro Torres-Caballeros

We study axial gravitational perturbations of the asymptotically flat Bardeen spacetime interpreted as a string-T-duality-inspired quantum-corrected Schwarzschild black hole. Starting from the anisotropic-fluid background, we derive the…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Jakhongir Kurbanov , Muhammad Matyoqubov

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

This is a review of the results on black hole physics in the framework of loop quantum gravity. The key feature underlying the results is the discreteness of geometric quantities at the Planck scale predicted by this approach to quantum…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Alejandro Perez

We review, as well as provide some new results regarding the study of the structure of spacetime and the singularity in the interior of the Schwarzschild black hole in both loop quantum gravity and generalized uncertainty principle…

General Relativity and Quantum Cosmology · Physics 2022-06-28 Saeed Rastgoo , Saurya Das

We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much…

High Energy Physics - Theory · Physics 2023-05-31 E. T. Akhmedov , K. V. Bazarov

We quantize spherically symmetric vacuum gravity without gauge fixing the diffeomorphism constraint. Through a rescaling, we make the algebra of Hamiltonian constraints Abelian and therefore the constraint algebra is a true Lie algebra.…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Rodolfo Gambini , Jorge Pullin

We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime.…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

We study semiclassical corrections to the Schwarzchild metric, and their effects on unstable orbits.

General Relativity and Quantum Cosmology · Physics 2010-10-27 Arundhati Dasgupta
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