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A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $\Lambda$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The…

High Energy Physics - Theory · Physics 2009-04-17 Ding Wang , R. B. Zhang , Xiao Zhang

We find a new, non-commutative geometry inspired, solution of the coupled Einstein-Maxwell field equations describing a variety of charged, self-gravitating objects, including extremal and non-extremal black holes. The metric smoothly…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefano Ansoldi , Piero Nicolini , Anais Smailagic , Euro Spallucci

We consider the equations of motion of an anisotropic space-time in $f(T)$ theory, where $T$ is the torsion. New spherically symmetric solutions of black holes and wormholes are obtained with a constant torsion and the cases for which the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 M. Hamani Daouda , Manuel E. Rodrigues , M. J. S. Houndjo

The classic black hole mechanics and thermodynamics are formulated for stationary black holes with event horizons. Alternative theories of gravity of interest for cosmology contain a built-in time-dependent cosmological "constant" and black…

General Relativity and Quantum Cosmology · Physics 2018-10-12 Valerio Faraoni

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Etera R. Livine , Yuki Yokokura

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

Recent nonlinear completions of Fierz-Pauli theory for a massive spin-2 field include nonlinear massive gravity and bimetric theories. The spectrum of black-hole solutions in these theories is rich, and comprises the same vacuum solutions…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Richard Brito , Vitor Cardoso , Paolo Pani

We study black hole solutions in an extension of General Relativity (GR) with an explicit non-minimal coupling between matter and curvature. General black hole solutions satisfying the known energy conditions are derived including the ones…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Orfeu Bertolami , Mariano Cadoni , Andrea Porru

In this work, we present a new construction of black hole solutions in non-commutative gauge theory by applying the Seiberg-Witten map directly to interaction potentials before solving Einstein's equations. This approach provides a…

High Energy Physics - Theory · Physics 2026-05-25 Abdellah Touati

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

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

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

A solution of the (4+n)-dimensional vacuum Einstein equations is found for which spacetime is compactified on a compact hyperbolic manifold of time-varying volume to a flat four-dimensional FLRW cosmology undergoing accelerated expansion in…

High Energy Physics - Theory · Physics 2008-11-26 Paul K. Townsend , Mattias N. R. Wohlfarth

From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of event horizon fails. At present, the apparent or the trapping horizon seem its best replacements in various areas of black hole…

General Relativity and Quantum Cosmology · Physics 2013-09-20 Valerio Faraoni

We prove that the simplest gravitational symmetry reduced models describing cosmology and black holes mechanics are invariant under the Schr\"{o}dinger group. We consider the flat FRW cosmology filled with a massless scalar field and the…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Jibril Ben Achour , Etera R. Livine , Daniele Oriti , Goffredo Piani

We construct analytic solutions describing black holes and black branes in asymptotically Lifshitz spacetimes with arbitrary dynamical exponent z and for arbitrary number of dimensions. The model considered consists of Einstein gravity with…

High Energy Physics - Theory · Physics 2011-09-08 Javier Tarrio , Stefan Vandoren

We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole which is sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken up to ${\cal O}(\ell^4)$ in…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Archil Kobakhidze

The occurrence of a spacetime singularity indicates the breakdown of Einstein gravitation theory in these extreme regimes. We consider here the singularity issue and various black hole paradoxes at classical and quantum levels. It is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rituparno Goswami , Pankaj S. Joshi

A black hole solution in a teleparallel theory of (2+1)-dimensional gravity, given in a previous paper, is examined. This solution is also a solution of the three-dimensional vacuum Einstein equation with a vanishing cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Toshiharu Kawai