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We investigate the Schwarzschild-(anti) de Sitter spacetime with the anisotropic metric ansatz. The Wheeler-DeWitt equation for such a metric is solved numerically. In the presence of the cosmological constant $\Lambda$, we show that two…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Chen-Hsu Chien , Gansukh Tumurtushaa , Dong-han Yeom

We review the noncommutative gravity of Wess et al. and discuss its physical applications. We define noncommutative symmetry reduction and construct deformed symmetric solutions of the noncommutative Einstein equations. We apply our…

High Energy Physics - Theory · Physics 2010-01-05 Alexander Schenkel

A solvable 2-dimensional conformally invariant midi-superspace model for black holes is obtained by imposing spherical symmetry in 4-dimensional conformally invariant Einstein gravity. The Wheeler-DeWitt equation for the theory is solved…

General Relativity and Quantum Cosmology · Physics 2009-12-30 J. Gegenberg , G. Kunstatter

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potential function of the corresponding quantum cosmology problem…

General Relativity and Quantum Cosmology · Physics 2015-05-20 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

We consider non-commutating Simpson-Visser spacetime and study the superradiance phenomena and the shadow cast by the back hole associated with this modified spacetime. We extensively study the different aspects of the black hole associated…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Sohan Kumar Jha , Anisur Rahaman

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

Adopting noncommutative spacetime coordinates, we determined a new solution of Einstein equations for a static, spherically symmetric matter source. The limitations of the conventional Schwarzschild solution, due to curvature singularities,…

High Energy Physics - Theory · Physics 2007-05-23 Piero Nicolini

One presents a phase-space noncommutative extension of Quantum Cosmology in the context of a Kantowski-Sachs (KS) minisuperspace model. We obtain the Wheeler-DeWitt (WDW) equation for the noncommutative system through the ADM formalism and…

High Energy Physics - Theory · Physics 2009-07-24 C. Bastos , O. Bertolami , N. Dias , J. Prata

We analyze the static and spherically symmetric perfect fluid solutions of Einstein field equations inspired by the non commutative geometry. In the framework of the non commutative geometry this solution is interpreted as a mini black hole…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Ivan Arraut Guerrero , Davide Batic , Marek Nowakowski

In this work, we propose a new black hole solution, namely, a Hayward-like metric incorporating corrections due to non-commutativity by taking into account $\partial_r\wedge\partial_\theta$ Moyal twist. We begin by deriving this solution…

General Relativity and Quantum Cosmology · Physics 2025-09-18 N. Heidari , A. A. Araújo Filho , Iarley P. Lobo

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

We study the effects of noncommutative spaces on the horizon, the area spectrum and Hawking temperature of a Schwarzschild black hole. The results show deviations from the usual horizon, area spectrum and the Hawking temperature. The…

High Energy Physics - Theory · Physics 2009-11-11 Forough Nasseri

We study the problem of a Schwarzschild-anti-deSitter black hole in a noncommutative geometry framework, thought to be an effective description of quantum-gravitational spacetime. As a first step we derive the noncommutative geometry…

General Relativity and Quantum Cosmology · Physics 2011-09-14 Piero Nicolini , Giorgio Torrieri

We provide a new exact solution of the Einstein equations which generalizes the noncommutative geometry inspired Schwarzschild metric, we previously obtained. We consider here more general relations between the energy density and the radial…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Piero Nicolini , Euro Spallucci

We attempt to study three significant tests of general relativity in higher dimensions both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of the Einstein equation in…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Davood Mahdavian Yekta , S. A. Alavi , Majid Karimabadi

We quantize by the Dirac - Wheeler-DeWitt method the canonical formulation of the Schwarzschild black hole developed in a previous paper. We investigate the properties of the operators that generate rigid symmetries of the Hamiltonian,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Marco Cavaglia` , Vittorio de Alfaro , Alexandre T. Filippov

The phenomenology of a radiating Schwarzschild black hole is analyzed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus we legitimately introduce noncommutativity in the…

High Energy Physics - Theory · Physics 2011-02-22 Piero Nicolini

The interior of a static Schwarzschild metric can be written in terms of two functions, similar to some models of anisotropic cosmology. With a suitable choice of canonical variables, we solve the Wheeler-DeWitt equation (WDW) inside the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

We analyse the physical properties of an analytical, nonsingular quantum-corrected black hole solution recently derived in a minisuperspace model for unimodular gravity under the assumption of unitarity in unimodular time. We show that the…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Steffen Gielen , Sofie Ried

We solve Wheeler-De Witt (WDW) metric probability wave equation on the apparent horizon hypersurface of the Schwarzschild de Sitter (SdS) black hole. To do so we choose radial dependent mass function $M(r)$ for its internal regions in the…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Hossein Ghaffarnejad