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Related papers: Evolving Metric Perturbations in dynamical Chern-S…

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We evolve a scalar field in a fixed Kerr-Schild background geometry to test simple $(3+1)$-dimensional algorithms for singularity excision. We compare both centered and upwind schemes for handling the shift (advection) terms, as well as…

General Relativity and Quantum Cosmology · Physics 2009-11-07 H. J. Yo , T. W. Baumgarte , S. L. Shapiro

We demonstrate the classical stability of the BTZ black hole within the context of topologically massive gravity. The linearized perturbation equations can be solved exactly in this case. By choosing standard boundary conditions appropriate…

High Energy Physics - Theory · Physics 2011-02-25 Danny Birmingham , Susan Mokhtari , Ivo Sachs

In a quantum theory of gravity, a renormalization group improved Kerr metric is obtained from the Kerr metric, where the Newton gravitational constant is modified as a function of the radial distance. The motion of neutral test particles in…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Junjie Lu , Xin Wu

We establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Geoffrey Compère , Adrien Druart , Justin Vines

We extend the formulation for perturbations of maximally symmetric black holes in higher dimensions developed by the present authors in a previous paper (hep-th/0305147) to a charged black hole background whose horizon is described by an…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama , Akihiro Ishibashi

We reformulate the Chern-Simons modified gravity in the metric-affine formalism, by enlarging the Pontryagin density with homothetic curvature terms which restore projective invariance without spoiling topologicity. The latter is then…

General Relativity and Quantum Cosmology · Physics 2022-03-18 Flavio Bombacigno

The problem of collisions of shockwaves in gravity is well known and has been studied extensively in the literature. Recently, the interest in this area has been revived trough the anti-de-Sitter space/Conformal Field Theory correspondence…

High Energy Physics - Theory · Physics 2010-07-09 Anastasios Taliotis

We derive master equations for linear perturbations in Einstein-Maxwell-scalar theory, for any spacetime dimension D and any background with a maximally symmetric n = (D - 2)-dimensional spatial component. This is done by expressing all…

High Energy Physics - Theory · Physics 2021-04-23 Aron Jansen , Andrzej Rostworowski , Mieszko Rutkowski

We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li , Zi-zhi Wang

While the motion of particles near a rotating, electrically-neutral (Kerr), and charged (Kerr--Newman) black hole is always strictly regular, a perturbation in the gravitational or the electromagnetic field generally leads to chaos. The…

High Energy Astrophysical Phenomena · Physics 2014-05-28 O. Kopáček , V. Karas

The most general stationary black-hole solution of Einstein-Maxwell theory in vacuum is the Kerr-Newman metric, specified by three parameters: mass M, spin J and charge Q. Within classical general relativity, the most important and…

General Relativity and Quantum Cosmology · Physics 2013-06-19 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

The presented thesis is devoted to the study of instabilities of compact objects within the Einstein-Gauss-Bonnet theory. This theory includes higher-order corrections in curvature, which are inspired by the low energy limit of string…

High Energy Physics - Theory · Physics 2019-12-19 M. A. Cuyubamba

We study the effective theory of slowly rotating black holes at the infinite limit of the spacetime dimension D. This large D effective theory is obtained by integrating the Einstein equation with respect to the radial direction. The…

High Energy Physics - Theory · Physics 2016-03-23 Kentaro Tanabe

We investigate linear perturbations of spin-s fields in the Kerr-AdS black hole and in its near-horizon geometry (NHEK-AdS), using the Teukolsky master equation and the Hertz potential. In the NHEK-AdS geometry we solve the associated…

High Energy Physics - Theory · Physics 2015-06-11 Oscar J. C. Dias , Jorge E. Santos , Maren Stein

We present a new proof of linear stability of the Schwarzschild solution to gravitational perturbations. Our approach employs the system of linearised gravity in the new geometric gauge of \cite{benomio_kerr}, specialised to the $|a|=0$…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Gabriele Benomio

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

We find general parameterizations for generic off-diagonal spacetime metrics and matter sources in general relativity (GR) and modified gravity theories when the field equations decouple with respect to certain types of nonholonomic frames…

General Relativity and Quantum Cosmology · Physics 2014-12-25 Tamara Gheorghiu , Olivia Vacaru , Sergiu I. Vacaru

We study axial (or odd-parity) perturbations about static and spherically symmetric hairy black hole (BH) solutions in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories. We first extend to the family of DHOST theories…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS…

High Energy Physics - Theory · Physics 2015-06-15 Loriano Bonora , Maro Cvitan , Predrag Dominis Prester , Silvio Pallua , Ivica Smolic

We consider the effective theory of the large D stationary black hole. By solving Einstein equation with a cosmological constant using the 1/D expansion in near zone of a black hole we obtain the effective equation for the stationary black…

High Energy Physics - Theory · Physics 2015-10-09 Ryotaku Suzuki , Kentaro Tanabe