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Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form…

High Energy Physics - Theory · Physics 2009-11-10 Edward Teo

We find static charged black hole solutions in nonlinear massive gravity. In the parameter space of two gravitational potential parameters $(\alpha, \beta)$ we show that below the Compton wavelength the black hole solutions reduce to that…

High Energy Physics - Theory · Physics 2013-03-14 Yi-Fu Cai , Damien A. Easson , Caixia Gao , Emmanuel N. Saridakis

We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

The dimensional reduction of black hole solutions in four-dimensional (4D) general relativity is performed and new 3D black hole solutions are obtained. Considering a 4D spacetime with one spacelike Killing vector, it is possible to split…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Vilson T. Zanchin , Antares Kleber , Jose' P. S. Lemos

We consider charged rotating BTZ black holes in noncommutative space by use of Chern-Simons theory formulation of $2+1$ dimensional gravity. The noncommutativity between the radial and the angular variables is introduced through the…

High Energy Physics - Theory · Physics 2018-04-18 Shoichi Kawamoto , Koichi Nagasaki , Wen-Yu Wen

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

We discuss black hole quantization in the Wheeler-DeWitt approach. Our consideration is based on a detailed investigation of the canonical formulation of gravity with special considerations of surface terms. Since the phase space of gravity…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Thorsten Brotz

Static and stationary regular black holes are examined under a minimal set of requirements consisting of (i) the existence of a well defined event horizon and (ii) the weak energy condition for matter sourcing the geometry. We perform our…

General Relativity and Quantum Cosmology · Physics 2023-07-24 Jorge Ovalle , Roberto Casadio , Andrea Giusti

We give circularly symmetric solutions for null fluid collapse in 2+1-dimensional Einstein gravity with a cosmological constant. The fluid pressure $P$ and energy density $\rho$ are related by $P=k\rho$ $(k\le 1)$. The long time limit of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Viqar Husain

We construct a general class of non-extremal charged Kerr-de Sitter black holes in five dimensions, in which the two rotation parameters are set equal. There are three non-trivial parameters, namely the mass, charge and angular momentum.…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope

We study a solution of the Einstein's equations generated by a self-gravitating, anisotropic, static, non-singular matter fluid. The resulting Schwarzschild like solution is regular and accounts for smearing effects of noncommutative…

High Energy Physics - Theory · Physics 2015-02-05 Antonia Micol Frassino

In this paper, static electrically charged black hole solutions with cosmological constant are investigated in an Einstein-Hilbert theory of gravity with additional quadratic curvature terms. Beside the analytic Schwarzschild (Anti-) de…

General Relativity and Quantum Cosmology · Physics 2016-07-18 Kai Lin , Wei-Liang Qian , A. B. Pavan , E. Abdalla

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of the anti-de Sitter group coupled to a Source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how…

High Energy Physics - Theory · Physics 2007-05-23 Sharmanthie Fernando , Freydoon Mansouri

In the Chern-Simons gauge theory formulation of the spinning (2+1) dimensional black hole, we may treat the horizon and the spatial infinity as boundaries. We obtain the actions induced on both boundaries, applying the Faddeev and…

High Energy Physics - Theory · Physics 2008-02-03 Taejin Lee

Singularity-free regular black holes are a popular alternative to the singular mathematical black holes predicted by general relativity. Here, we derive a generic condition that spherically symmetric dynamical regular black holes must…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Sebastian Murk , Ioannis Soranidis

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

The charged Banados-Teitelboim-Zanelli (BTZ) black hole is plagued by several pathologies: a) Presence of divergent boundary terms in the action, hence of a divergent black hole mass; b) Once a finite, renormalized, mass M is defined black…

General Relativity and Quantum Cosmology · Physics 2010-04-30 M. Cadoni , C. Monni

We obtain the higher dimensional global flat embeddings of static, rotating, and charged BTZ black holes. On the other hand, we also study the similar higher dimensional flat embeddings of the (2+1) de Sitter black holes which are the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

It is well known that ($2+1$) dimensional charged BTZ (Banados, Teitelboim, Zanelli) black hole can be overcharged by a charged scalar field and a charged particle in contrast to their analogues in ($3+1$) and higher dimensions. In this…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Ayyesha K. Ahmed , Sanjar Shaymatov , Bobomurat Ahmedov

We construct the first binary black hole solutions of Einstein-Maxwell theory in asymptotically anti-de Sitter space. The attractive force between the two black holes is balanced by the addition of a background electric field, sourced at…

High Energy Physics - Theory · Physics 2025-06-09 William D. Biggs , Jorge E. Santos