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The classical central charge for the higher curvature gravity in 3-dimensions is calculated using the Legendre transformation method. The statistical entropy of BTZ black hole is derived by the Cardy's formula and the result completely…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiromi Saida , Jiro Soda

Recent studies have presented the interpretation of thermodynamic enthalpy for the mass of BTZ black holes and the corresponding Smarr formula. All these are made in the background of three-dimensional (3D) general relativity. In this…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Chao Liang , Li Gong , Baocheng Zhang

Recently, a general method for calculating conserved charges for (black hole) solutions to generally covariant gravitational theories, in any dimensions and with arbitrary asymptotic behaviors has been introduced. Equipped with this method,…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Kamal Hajian

Recently, Chandrasekaran, Penington and Witten (CPW) have shown that the generalized entropy of the Schwarzschild black hole at the bifurcation surface equals the entropy of an extended von Neumann algebra of quantum observables in the…

High Energy Physics - Theory · Physics 2023-09-26 Mohd Ali , Vardarajan Suneeta

We investigate exact charged and uncharged black hole solutions in a (2+1)-dimensional spacetime within the framework of quadratic form of $f(\mathbb{Q})$ symmetric teleparallel gravity, where $\mathbb{Q}$ is the non-metricity scalar. By…

General Relativity and Quantum Cosmology · Physics 2026-01-13 G. G. L. Nashed , Salvatore Capozziello

On the basis of two requirements: the avoidance of the curvature singularity and the Maxwell theory as the weak field limit of the nonlinear electrodynamics, we find two restricted conditions on the metric function of $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Yun He , Meng-Sen Ma

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 obtain rotating black hole solutions to the novel 3D Gauss-Bonnet theory of gravity recently proposed. These solutions generalize the BTZ metric and are not of constant curvature. They possess an ergoregion and outer horizon, but do not…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We obtain a generalized Schwarzschild (GS-) and a generalized Reissner-Nordstrom (GRN-) black hole geometries in (3+1)-dimensions, in a noncommutative string theory. In particular, we consider an effective theory of gravity on a curved…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar , Sumit Majumdar

We work towards the general solution of the two-body problem in 2+1-dimensional general relativity with a negative cosmological constant. The BTZ solutions corresponding to black holes, point particles and overspinning particles can be…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Carsten Gundlach

This article is devoted to static spherically symmetric black hole solutions of dRGT (de Rham-Gabadadze-Tolley) massive gravity in the presence of cosmological constant. The unitary and non-unitary gauges are used to find the solutions in…

General Relativity and Quantum Cosmology · Physics 2017-09-04 Ghadir Jafari , M. R. Setare , Hamid R. Bakhtiarizadeh

The Noether charge method for defining the Hamiltonian of a diffeomorphism-invariant field theory is applied to "Einstein-aether" theory, in which gravity couples to a dynamical, timelike, unit-norm vector field. Using the method,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Brendan Z. Foster

We obtain a slowly rotating black hole solution in the scalar-tensor theory of gravity with nonminimal derivative coupling to the Einstein tensor. Properties of the obtained solution have been examined carefully. We also investigate the…

High Energy Physics - Theory · Physics 2018-11-14 M. M. Stetsko

We reviewed the Ba\u nados-Teitelboim-Zanelli (BTZ) black hole solution in connection with the spinning string solution. We find a new exact solution, which can be related to the $(2+1)$-dimensional spinning point particle solution. There…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Reinoud J. Slagter , Jebin Larosh

An analysis of some modified gravity models, based on the study of pure Schwarzschild and of Schwarzschild-de Sitter black holes, and involving the use of the Noether charge method, is carried out. Corrections to the classical Einsteinian…

High Energy Physics - Theory · Physics 2008-11-26 F. Briscese , E. Elizalde

All 1+1 dimensional dipheomorphism-invariant models can be viewed in a unified manner. This includes also general dilaton theories and especially spherically symmetric gravity (SSG) and Witten's dilatonic black hole (DBH). A common feature…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. O. Katanaev , W. Kummer , H. Liebl , D. V. Vassilevich

We construct a wide class of black hole solutions to the general theory of ghost free multi-metric gravity in arbitrary spacetime dimension, extending and generalising the known results in 4-dimensional dRGT massive gravity and bigravity.…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Kieran Wood , Paul M. Saffin , Anastasios Avgoustidis

We present dyonic BPS static black hole solutions for general d=4, N=2 supergravity theories coupled to vector and hypermultiplets. These solutions are generalisations of the spherically symmetric Majumdar-Papapetrou black hole solutions of…

High Energy Physics - Theory · Physics 2009-10-30 W. A. Sabra

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia