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Astrophysical black hole systems are the ideal laboratories for testing Einstein's theory of gravity in the strong field regime. We have recently developed a framework which uses the reflection spectrum of black hole systems to perform…

The Chern-Simons modification to general relativity in four dimensions consists of adding to the Einstein-Hilbert term a scalar field that couples to the first class Pontryagin density. In this theory, which has attracted considerable…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Leonardo Amarilla , Ernesto F. Eiroa , Gaston Giribet

We investigate the accretion induced spin up of the black hole via numerical simulations. Our method is based on general-relativistic magneto-hydrodynamics of the slowly-rotating flows in the Kerr metric, where possibly transonic shock…

High Energy Astrophysical Phenomena · Physics 2021-05-26 Dominika Ł. Król , Agnieszka Janiuk

We semianalytically investigate the scalar self-force experienced in the final stages of extreme mass ratio inspirals of nonspinning scalar particles into supermassive nearly extremal Kerr black holes. We exploit the near-horizon conformal…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Yan Liu

We study the null geodesics in the extremal Kerr-Newman exterior. We clarify the roots of the radial potential and obtain the parameter space of the azimuthal angular momentum and the Carter constant of the light rays for varieties of the…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Bo-Ruei Chen , Tien Hsieh , Da-Shin Lee

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

General Relativity and Quantum Cosmology · Physics 2019-02-12 Prerna Rana , A. Mangalam

We provide new very simple and compact expressions for the efficient calculation of gravitational lens optical scalars for Kerr spacetime which are exact along any null geodesic. These new results are obtained recurring to well known…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-05 Ezequiel F. Boero , Osvaldo M. Moreschi

We derive the analytical solutions of the bound timelike geodesic orbits in Kerr spacetime. The analytical solutions are expressed in terms of the elliptic integrals using Mino time $\lambda$ as the independent variable. Mino time decouples…

General Relativity and Quantum Cosmology · Physics 2012-08-28 Ryuichi Fujita , Wataru Hikida

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

The spin-weighted spheroidal eigenvalues and eigenfunctions arise in the separation by variables of spin-field perturbations of Kerr black holes. We derive a large, real-frequency asymptotic expansion of the spin-weighted spheroidal…

General Relativity and Quantum Cosmology · Physics 2019-02-08 Marc Casals , Adrian C. Ottewill , Niels Warburton

We develop a systematic effective field theory calculation of the quasinormal modes of Kerr black holes valid for arbitrary spin, providing model-independent corrections to their ringdown spectrum directly relevant for gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William L. Boyce , Jorge E. Santos

Extending the works arXiv:1504.05991 and arXiv:1510.02142, we study three dimensional Euclidean higher spin gravity with negative cosmological constant. This theory can be formulated in terms of SL(N,C) Chern-Simons theory. By introducing…

High Energy Physics - Theory · Physics 2017-03-08 Masazumi Honda , Norihiro Iizuka , Akinori Tanaka , Seiji Terashima

In this talk, we present some direct evidences of the Higher Spin/Vector Model correspondence. There are two particular examples we would like to address on. The first example concerns a constructive approach of four dimensional higher spin…

High Energy Physics - Theory · Physics 2013-04-16 Kewang Jin

Kerr-Schild double copy is shown to extend naturally to all free symmetric gauge fields propagating on $(A)dS$ in any dimension. Similarly to the standard lower-spin case, the higher-spin multicopy comes along with the zeroth, single, and…

High Energy Physics - Theory · Physics 2023-03-01 V. E. Didenko , N. K. Dosmanbetov

Rotating stringy black hole solutions with non-vanishing dilaton $\phi$, antisymmetric tensor $B_{\mu\nu}$, and $U(1)$ gauge field $A_{\mu}$ are investigated. Both Boyer-Lindquist-like and Kerr-Schild-like coordinate are constructed. The…

High Energy Physics - Theory · Physics 2010-11-01 Tadashi OKAI

Efforts are underway to accurately model extreme-mass-ratio inspirals for binaries with a spinning (Kerr) primary. At lowest order the adiabatic evolution depends on the radiation fluxes. Fluxes and other self-force quantities can be…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Jezreel C. Castillo , Charles R. Evans , Chris Kavanagh , Jakob Neef , Barry Wardell , Adrian Ottewill

We obtain approximate analytic expressions for the critical value of the total angular momentum of a non-relativistic test particle moving in the Kerr geometry, such that it will be captured by the black hole. The expressions apply to…

Astrophysics of Galaxies · Physics 2012-10-25 Clifford M. Will

We investigate linear, spin-field perturbations of Kerr black holes in the extremal limit throughout the complex-frequency domain. We calculate quasi-normal modes of extremal Kerr, as well as of near-extremal Kerr, via a novel approach:…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Marc Casals , Luís F. Longo Micchi

A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et.al. Using higher-order geodesic deviation…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Mohaddese Heydari-Fard , Malihe Heydari-Fard , Hamid Reza Sepangi

We present two methods to include the asymptotic domain of a background spacetime in null directions for numerical solutions of evolution equations so that both the radiation extraction problem and the outer boundary problem are solved. The…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Anil Zenginoglu , Manuel Tiglio