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The idea that quantum gravity effects might leak outside the horizon of a black hole has recently been intensively considered. In this study, we calculate the quasinormal modes as a function of the location and amplitude of a generic metric…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Aurélien Barrau , Killian Martineau , Jeremy Martinon , Flora Moulin

A quantum-corrected black hole model arising from gravitational collapse in the framework of Asymptotically Safe Gravity was recently proposed in [A. Bonanno, D. Malafarina, A. Panassiti, Phys. Rev. Lett. 132, 031401 (2024)]. Quantum…

General Relativity and Quantum Cosmology · Physics 2026-01-21 B. C. Lütfüoğlu

We consider the most general action for gravity which is quadratic in curvature. In this case first order and second order formalisms are not equivalent. This framework is a good candidate for a unitary and renormalizable theory of the…

High Energy Physics - Theory · Physics 2017-12-22 Enrique Alvarez , Jesus Anero , Sergio Gonzalez-Martin

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

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization…

High Energy Physics - Theory · Physics 2020-06-12 Gleb Aminov , Alba Grassi , Yasuyuki Hatsuda

The quantum nature of the Schwarzschild black hole interior is investigated through the Wheeler-DeWitt (WDW) equation. The interior of a static, spherically symmetric black hole is described by the Kantowski-Sachs (KS) metric, which…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Takeshi Chiba , Hiroki Matsui , Keiju Murata

The Schr\"odinger equation of the Schwarzschild black hole (BH) shows that a BH is composed of a particle, the "electron", interacting with a central field, the "nucleus". Via de Broglie's hypothesis, one interprets the "electron" in terms…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Christian Corda

The coupled equations for the scalar modes of the linearized Einstein equations around Schwarzschild's spacetime were reduced by Zerilli to a 1+1 wave equation with a potential $V$, on a field $\Psi_z$. For smooth metric perturbations…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Gustavo Dotti , Reinaldo J. Gleiser

We investigate the gravitational perturbations of the Schwarzschild black hole in the nonlocal gravity model recently proposed by Deser and Woodard (DW-II). The analysis is performed in the localized version in which the nonlocal…

General Relativity and Quantum Cosmology · Physics 2021-03-19 Che-Yu Chen , Sohyun Park

In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around…

General Relativity and Quantum Cosmology · Physics 2019-09-13 Emanuele Alesci , Sina Bahrami , Daniele Pranzetti

Starting from the eigenvalue equation for the mass of a black hole derived by M\"akel\"a and Repo, we show that, by reparametrizing the radial coordinate and the wave function, it can be rewritten as the eigenvalue equation of a quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Wilfredo Yupanqui Carpio , Octavio Obregón

A Regge--Wheeler analysis is performed for a novel black hole mimicker `the regular black hole with asymptotically Minkowski core', followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Alex Simpson

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We improve upon the simple model studied by Casadio and Orlandi [JHEP 1308 (2013) 025] for a black hole as a condensate of gravitons. Instead of the harmonic oscillator potential, the P\"oschl-Teller potential is used, which allows for a…

High Energy Physics - Theory · Physics 2014-06-04 Wolfgang Mück , Giancarlo Pozzo

A quantum-mechanical prescription of static Einstein field equation is proposed in order to construct the matter-metric eigen-states in the interior of a static Schwarzschild black hole where the signature of space-time is chosen as (--++).…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

We investigate gravitational wave emission from periodic timelike orbits of a test particle around a loop quantum gravity-inspired Schwarzschild black hole. The spacetime is characterised by a holonomy-correction parameter that modifies the…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Fazlay Ahmed , Qiang Wu , Sushant G Ghosh , Tao Zhu

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

In the framework of loop quantum cosmology, particularly within the quantum Oppenheimer-Snyder model, the semiclassical Ashtekar-Pawlowski-Singh (APS) metric is associated with a static, spherically symmetric black hole that incorporates…

General Relativity and Quantum Cosmology · Physics 2025-02-18 S. Habib Mazharimousavi