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We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Jiri Podolsky , Robert Svarc , Vojtech Pravda , Alena Pravdova

Canonical quantization is often used to suggest new effects in quantum gravity, in the dynamics as well as the structure of space-time. Usually, possible phenomena are first seen in a modified version of the classical dynamics, for instance…

General Relativity and Quantum Cosmology · Physics 2018-11-12 Martin Bojowald , Suddhasattwa Brahma , Dong-han Yeom

For specifically coupled values of the quadratic gravity parameters, we present a fully explicit static spherically symmetric solution. It contains the central singularity surrounded by the black-hole or the cosmological horizon for the…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Simon Knoska , David Kofron , Robert Svarc

A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large…

General Relativity and Quantum Cosmology · Physics 2009-10-30 A. Ashtekar , J. Baez , A. Corichi , K. Krasnov

Loop Quantum Gravity is a theory that attempts to describe the quantum mechanics of the gravitational field based on the canonical quantization of General Relativity. According to Loop Quantum Gravity, in a gravitational field, geometric…

General Relativity and Quantum Cosmology · Physics 2021-12-16 W. F. Chagas-Filho

We present a polymer quantization of spherically symmetric Einstein gravity in which the polymerized variable is the area of the Einstein-Rosen wormhole throat. In the classical polymer theory, the singularity is replaced by a bounce at a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. Kunstatter , J. Louko , A. Peltola

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

In this paper we construct a solvable toy model of the quantum dynamics of the interior of a spherical black hole with falling spherical scalar field excitations. We first argue about how some aspects of the quantum gravity dynamics of…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Alejandro Perez , Salvatore Ribisi , Sami Viollet

The combined action of gravity and quantum mechanics gives rise to a minimum time uncertainty in the lowest order approximation of a perturbative scheme, in which quantum effects are regarded as corrections to the classical spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pablo Galan , Luis J. Garay , Guillermo A. Mena Marugan

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

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

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

We revisit the Schwarzschild singularity in a semiclassical setting where the background geometry is classical and quantum effects enter through Bohmian (quantal) trajectories associated with a Klein Gordon wave packet. Using the…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Vishnulal Cheriyodathillathu , Tanmay Patil , Saurya Das , Soumen Basak

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

We investigate black hole solutions within a phenomenological approach to quantum gravity based on spacetime thermodynamics developed by Alonso-Serrano and Li\v{s}ka. The field equations are traceless, similarly to unimodular gravity, and…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Ana Alonso-Serrano , Marco de Cesare , Manuel Del Piano

The vacuum, static, and spherically symmetric solutions in the mimetic Born-Infeld gravity are studied. The mimetic Born-Infeld gravity is a reformulation of the Eddington-inspired-Born-Infeld (EiBI) model under the mimetic approach. Due to…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

General Relativity and Quantum Cosmology · Physics 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

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

A number of recent observations have suggested that the Einstein's theory of general relativity may not be the ultimate theory of gravity. The f(R) gravity model with R being the scalar curvature turns out to be one of the best bet to…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Surajit Kalita , Banibrata Mukhopadhyay

Here we examine the quantum-mechanical decay of a Schwarzschild-like black hole, formed by gravitational collapse, into almost-flat space-time and weak radiation at a very late time, in order to evaluate quantum amplitudes (not just…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. St. J. Farley , P. D. D'Eath
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