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The quantum theory of the spherically symmetric gravity in 3+1 dimensions is investigated. The functional measures are explicitly evaluated and the physical state conditions are derived by using the technique developed in two dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Ken-ji Hamada , Asato Tsuchiya

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

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

In this paper, by means of regularisation procedure via $r\to \sqrt{r^2+l_0^2}$ (where $l_0$ can play the role of zero point length), we first modify the gravitational and electromagnetic potentials in two dimensions and then we solve the…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Kimet Jusufi

We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and…

High Energy Physics - Theory · Physics 2014-11-18 P. M. Sá , J. P. S. Lemos

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov , Yuri Shtanov

EVH black holes are Extremal black holes with Vanishing Horizon area, where vanishing of horizon area is a result of having a vanishing one-cycle on the horizon. We prove three theorems regarding near horizon geometry of EVH black hole…

High Energy Physics - Theory · Physics 2016-01-08 S. Sadeghian , M. M. Sheikh-Jabbari , M. H. Vahidinia , H. Yavartanoo

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 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

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

A solution for the Einstein gravity coupled with non linear electrodynamics is introduced in 2+1 dimensions. Especially, in the case with a non-vanishing cosmological constant, we obtain a novel black hole solution. To find fundamental…

General Relativity and Quantum Cosmology · Physics 2013-12-11 M. Kuniyasu

We study the exterior solution for a static, spherically symmetric source in Weyl conformal gravity in terms of the Newman--Penrose formalism. We first show that both the static, uncharged black hole solution of Mannheim and Kazanas and the…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Petr Jizba , Kamil Mudruňka

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is…

High Energy Physics - Theory · Physics 2010-11-01 Gary T. Horowitz , Dean L. Welch

Regularity theorems are presented for cosmology and gravitational collapse in non-Riemannian gravitational theories. These theorems establish conditions necessary to allow the existence of timelike and null path complete spacetimes for…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. W. Moffat

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 A. N. Aliev

We obtain a general class of exact solutions to topologically massive gravity with or without a negative cosmological constant. In the first case, we show that the solution is supersymmetric and asymptotically approaches the extremal BTZ…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Dereli , O. Sarioglu

Generalizations of the Black Hole geometry of Ba\~nados, Teitelboim and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The $n$-black-hole solution has $n$…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Dieter R. Brill

We discuss in detail the properties of gravity with a negative cosmological constant as viewed in Cherns-Simons theory on a line times a disc. We reanalyze the problem of computing the BTZ entropy, and show how the demand of unitarity and…

High Energy Physics - Theory · Physics 2009-11-10 Jan Troost , Asato Tsuchiya

We present an exact solution of Einstein's equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr-Newman black hole. The backreacted metric is of the generalized Kerr-Schild form and is Type II…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yoni BenTov , Joe Swearngin

We report the discovery of rotating black hole solutions within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We demonstrate that any nonunitary gauge with the Minkowski reference metric are equal to a unitary gauge with…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ping Li , Jiang-he Yang