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This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Hao Hu , Guoxiong Zhu

We study the interior of the Schwarzschild black hole which is isometric to the Kantowski-Sachs cosmological model, using a fully relational and gauge-invariant quantization framework. The physical Hilbert space is constructed via refined…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Paolo Fragolino , Saeed Rastgoo

In this thesis we present partial progress towards the dynamic formation of black holes in the four-dimensional Einstein vacuum equations from Christodoulou's short-pulse ansatz. We identify natural scaling in a putative solution metric and…

Analysis of PDEs · Mathematics 2020-03-16 Ethan Yale Jaffe

We investigate the scattering of electromagnetic and gravitational waves off a Reissner-Nordstr\"om black hole in the low-temperature regime where the near-horizon throat experiences large quantum fluctuations. We find that the black hole…

High Energy Physics - Theory · Physics 2025-10-07 Roberto Emparan , Stefano Trezzi

Nathan Rosen's quantization approach to the gravitational collapse is applied in the simple case of a pressureless "star of dust" by finding the gravitational potential, the Schrodinger equation and the solution for the collapse's energy…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Christian Corda , Fabiano Feleppa

In this paper we obtain the black hole metric from a semiclassical analysis of loop quantum black hole. Our solution and the Schwarzschild one tend to match well at large distances from Planck region. In r=0 the semiclassical metric is…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Leonardo Modesto

We study the quantum gravitational collapse of spherically symmetric pressureless dust. Using an effective equation derived from a polymer quantization in the connection-triad phase space variables of general relativity, we find…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Viqar Husain , Jarod George Kelly , Robert Santacruz , Edward Wilson-Ewing

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

Loop quantization of Schwarzschild black holes with a cosmological constant for polymerization parameters which are constant is studied in the effective spacetime description. We show that for the positive cosmological constant there can be…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Geeth Ongole , Parampreet Singh , Anzhong Wang

We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms. We especially monitored the processes of appearances of a singularity…

General Relativity and Quantum Cosmology · Physics 2017-08-16 Hisa-aki Shinkai , Takashi Torii

A paradigm describing black hole evaporation in non-perturbative quantum gravity is developed by combining two sets of detailed results: i) resolution of the Schwarzschild singularity using quantum geometry methods; and ii) time-evolution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Martin Bojowald

We study a spherically symmetric setup consisting of a Schwarzschild metric as the background geometry in the framework of classical polymerization. This process is an extension of the polymeric representation of quantum mechanics in such a…

High Energy Physics - Theory · Physics 2018-09-24 Babak Vakili

We consider the quantum-mechanical decay of a Schwarzschild-like black hole formed by gravitational collapse into almost-flat space-time and weak radiation at a late time. We evaluate quantum amplitudes (not just probabilities) for…

General Relativity and Quantum Cosmology · Physics 2015-05-18 A. N. St. J. Farley , P. D. D'Eath

We consider a spherical symmetric black hole in the Schwarzschild metric and apply Bohr-Sommerfeld quantization to determine the energy levels. The canonical partition function is then computed and we show that the entropy coincides with…

High Energy Physics - Theory · Physics 2010-11-19 Marco Frasca

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

With the possibility of testing massive gravity in the context of black hole physics in mind, we consider the radiation produced by a particle plunging from slightly below the innermost stable circular orbit into a Schwarzschild black hole.…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Yves Decanini , Antoine Folacci , Mohamed Ould El Hadj

The presence of a horizon is the principal marker for black holes as they appear in the classical theory of gravity. In General Relativity (GR), horizons have several defining properties. First, there exists a static spherically symmetric…

High Energy Physics - Theory · Physics 2018-09-19 Clement Berthiere , Debajyoti Sarkar , Sergey N. Solodukhin

In a previous work we obtained exact solutions for the proper time quantum mechanics of a thin dust shell, collapsing in a vacuum. We extend these results to the quantum collapse of a dust shell surrounding a pre-existing black hole. In…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Cenalo Vaz

A quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Nikola Herceg , Tajron Jurić , Andjelo Samsarov , Ivica Smolić , Kumar S. Gupta

In this paper, we investigate the evaporation of the quantum Oppenheimer-Snyder black hole. Within a semiclassical framework, we compute the energy emission of Hawking radiation by introducing a massless scalar field as a test field,…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Hongwei Tan , Kui Xiao , Rong-zhen Guo , Shoucheng Wang