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We consider the Einstein-Maxwell-Klein-Gordon equations for a spherically symmetric scalar field scattering off a Reissner-Nordstr\"om black hole in asymptotically flat spacetime. The equations are solved numerically using a hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2016-12-20 Olaf Baake , Oliver Rinne

We investigate the numerical stability of accelerated AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled scalar field on Schwarzschild and Reissner-Nordstr\"om AdS…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Rodrigo D. B. Fontana , Filipe C. Mena

We study non-minimal quantum fields in the gravitational field of 2-dimensional dilaton black holes and the de Sitter spacetime. We found that the Green functions for non-minimal massless fields in a particular class of dilaton black holes…

High Energy Physics - Theory · Physics 2014-11-18 Andrei Zelnikov

We study odd dimensional charged equally rotating black holes in the Einstein-Maxwell theory with/without a cosmological constant by using the large D expansion method, where D is a spacetime dimension. Solving the Einstein-Maxwell…

High Energy Physics - Theory · Physics 2016-05-31 Kentaro Tanabe

We study the evolution of nonlinear superhorizon perturbations in a universe dominated by a complex scalar field. The analysis is performed adopting the gradient expansion approach, in the constant mean curvature slicing. We derive general…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Luis E. Padilla , Juan Carlos Hidalgo , Darío Núñez

We provide a geometric framework for the construction of non-vacuum black holes whose metrics are stationary and axisymmetric. Under suitable assumptions we show that the Einstein equations reduce to an Einstein-harmonic map type system and…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Otis Chodosh , Yakov Shlapentokh-Rothman

The first attempts at solving a binary black hole spacetime date back to the 1960s, with the pioneering works of Hahn and Lindquist. In spite of all the computational advances and enormous efforts by several groups, the first stable,…

General Relativity and Quantum Cosmology · Physics 2013-01-09 Miguel Zilhão

We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Mieszko Rutkowski

We have studied the perturbation of a spinning dilaton black hole in 2 +1 dimensions by a massless scalar field. The wave equations of a massless scalar field is shown to be exactly solvable in terms of hypergeometric functions. The…

High Energy Physics - Theory · Physics 2009-08-03 Sharmanthie Fernando

We present a code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved in generalized harmonic coordinates on one grid using pseudospectral…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Matthew D. Duez , Francois Foucart , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Saul A. Teukolsky

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 thesis describes the application of numerical techniques to solve Einstein's field equations in three distinct cases. First we present the first long-term stable second order convergent Cauchy characteristic matching code in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ulrich Sperhake

In this study, we investigate rotating black hole solutions within a scalar Gauss-Bonnet gravity framework that incorporates a squared Gauss-Bonnet term. By employing a quadratic exponential coupling function between the scalar field and…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

We consider the Einstein-Gauss-Bonnet gravity with a negative cosmological constant together with a source given by a scalar field nonminimally coupled in arbitrary dimension D. For a certain election of the cosmological and Gauss-Bonnet…

High Energy Physics - Theory · Physics 2013-11-20 Moises Bravo Gaete , Mokhtar Hassaine

A non-extreme dilatonic charged (by two ``color electric'' charges) black hole solution is examined within a four-dimensional gravity model that incorporates two scalar (dilaton) fields and two Abelian vector fields. The scalar and vector…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Kuantay Boshkayev , Gulnara Suliyeva , Vladimir Ivashchuk , Ainur Urazalina

We analyze the structural and thermodynamic properties of $D$-dimensional ($D \geq 4$), asymptotically flat or Anti-de-Sitter, electrically charged black hole solutions, resulting from the minimal coupling of general nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-04-24 H. Benbellout , J. Diaz-Alonso , D. Rubiera-Garcia

By using a quasi-stationary approach, we consider the mass evolution of Schwarzschild black holes in the presence of a nonminimally coupled cosmological scalar field. The mass evolution equation is analytically solved for generic coupling,…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Manuela G. Rodrigues , Alberto Saa

Quasinormal modes of black holes were previously calculated in a non-linear electrodynamics and in the Gauss-Bonnet gravity theory. Here we take into consideration both of the above factors and find quasinormal modes of a (massive) scalar…

General Relativity and Quantum Cosmology · Physics 2020-05-04 M. S. Churilova , Z. Stuchlik

In this paper, we discuss a fully nonlinear mechanism for the formation of scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet gravity, where Kerr black holes are linearly stable, but unstable against nonlinear scalar…

General Relativity and Quantum Cosmology · Physics 2023-10-09 Meng-Yun Lai , De-Cheng Zou , Rui-Hong Yue , Yun Soo Myung

We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables…

High Energy Physics - Theory · Physics 2026-05-15 Shoya Ogawa , Okuto Morikawa , Takuya Hirose