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The main objective of this work is the construction of regular black hole solutions in the context of the Einstein-Maxwell theory. The strategy is to match an interior regular solution to an exterior electrovacuum solution. With this…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

We consider black hole interiors of arbitrary genus number within the paradigm of non-commutative geometry. The study is performed in two ways: One way is a simple smearing of a matter distribution within the black hole. The resulting…

General Relativity and Quantum Cosmology · Physics 2020-07-10 Mathew Schneider , Andrew DeBenedictis

Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second order evolution equations. Analytically the constraint…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Matthew Anderson , Richard A. Matzner

This is the first of a series of papers describing a numerical implementation of the conformally rescaled Einstein equation, an implementation designed to calculate asymptotically flat spacetimes, especially spacetimes containing black…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Huebner

Higher order derivative corrections to the Einstein--Maxwell action are considered and an explicit form is found for the corrections to the entropy of extremal black holes. We speculate on the properties of these corrections from the point…

High Energy Physics - Theory · Physics 2010-11-16 S. Bellucci , S. Ferrara , A. Shcherbakov , A. Yeranyan

Considering cylindrical topology we present the static solution for a charged black hole in conformal gravity. We show that unlike the general relativistic case there are two different solutions, both including a factor that when set to…

General Relativity and Quantum Cosmology · Physics 2013-01-07 Jackson Levi Said , Joseph Sultana , Kristian Zarb Adami

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an explicit expression for the metric in Einsteinian Cubic Gravity…

High Energy Physics - Theory · Physics 2021-03-25 Daniel J. Burger , William T. Emond , Nathan Moynihan

A new algorithm for solving the general relativistic MHD equations is described in this paper. We design our scheme to incorporate black hole excision with smooth boundaries, and to simplify solving the combined Einstein and MHD equations…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David Neilsen , Eric W Hirschmann , R Steven Millward

The paper deals with Hawking radiation related to non-static spherically symmetric black hole. Quantum corrections are incorporated using Hamilton-Jacobi method beyond semi-classical approximation. It is found that different order…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Nairwita Mazumder , Ritabrata Biswas , Subenoy Chakraborty

A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nicolás Morales--Durán , Andrés F. Vargas , Paulina Hoyos--Restrepo , Pedro Bargueño

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein

Using Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUTs (of asymptotically…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Sergei D. Odintsov , Yongsung Yoon

We extend a new finite element code, Einstein PHG (iPHG), to solve the evolution part of Einstein equations in first-order GH formalism. This paper is the third one of a systematic investigation of applying adaptive finite element method to…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Li-Wei Ji , Rong-Gen Cai , Zhoujian Cao

The parabolic-hyperbolic form of the constraints is integrated numerically. The applied numerical stencil is $4^{th}$ order accurate (in the spatial directions) while 'time'-integration is made by using the method of lines with a $4^{th}$…

General Relativity and Quantum Cosmology · Physics 2022-01-13 Anna Nakonieczna , Łukasz Nakonieczny , István Rácz

We consider perturbative solutions in Einstein gravity with higher-derivative extensions and address some subtle issues of taking extremal limit. As a concrete new result, we construct the perturbative rotating black hole in five dimensions…

High Energy Physics - Theory · Physics 2023-11-01 Liang Ma , Yue-Zhou Li , H. Lu

We propose a new lapse function that simplifies the Hamiltonian constraint, describing the interior of the black hole in terms of the Ashtekar-Barbero variables, into a more straightforward form. The new Hamiltonian leads to different…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Brayan Melchor , Rolando Perca , Wilfredo Yupanqui

An attempt is made in order to clarify the so called regular black holes issue. It is revisited that if one works within General Relativity minimally coupled with non linear source, mainly of electromagnetic origin, and within a static…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Stefano Chinaglia , Sergio Zerbini

To derive black hole thermodynamics in any quantum theory of gravity, one must introduce constraints that ensure that a black hole is actually present. For a large class of black holes, the imposition of such ``horizon constraints'' allows…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. Carlip

It has been recently proposed that late time behavior of holographic complexity in a uncharged black brane solution of Einstein-Hilbert theory with boundary cut off is consistent with Lloyd's bound if we have a cut off behind the horizon.…

High Energy Physics - Theory · Physics 2019-09-04 S. Sedigheh Hashemi , Ghadir Jafari , Ali Naseh , Hamed Zolfi

A throughout investigation is made of the exact black hole solution in five-dimensional warped conformal dilaton gravity, found in an earlier investigation. The singularities of the dynamical black hole spacetime are determined by the zeros…

High Energy Physics - Theory · Physics 2023-01-25 Reinoud Jan Slagter