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In astronomy, gravitational lensing of light leads to the formation of multiple images, arcs, Einstein rings, and, most important, the shadow of black holes. Analogously in the vicinity of a massive compact object massive particles,…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Torben C. Frost

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

Black holes in General Relativity are known as Kerr black holes and are characterized solely by two parameters, the mass $M$ and the spin $J$. All the higher multipole moments of the gravitational field are functions of these two…

General Relativity and Quantum Cosmology · Physics 2015-11-02 Cosimo Bambi , Enrico Barausse

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on massive scalar fields. We obtain an exact solution of the Klein-Gordon equation in this spacetime, which…

General Relativity and Quantum Cosmology · Physics 2014-01-24 V. B. Bezerra , H. S. Vieira , André A. Costa

We study the lensing effects of Kerr-Newman (KN) black holes and the multi-level images of luminous sources around the black holes. We obtain the analytic forms of the lens equations in KN spacetime and derive approximately their limiting…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Yehui Hou , Peng Liu , Minyong Guo , Haopeng Yan , Bin Chen

Motivated by the lack of a general parametrization for exotic compact objects, we construct a class of perturbative solutions valid for small (but otherwise generic) multipolar deviations from a Schwarzschild metric in general relativity.…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Guilherme Raposo , Paolo Pani , Roberto Emparan

In this work, we re-examined the ancient complex metric in the recent quantum picture of black holes as Bose-Einstein condensates of gravitons. Both black holes and particles can be described by the complex Kerr-Newman metric in a 6-D…

General Physics · Physics 2019-08-27 Liangsuo Shu , Kaifeng Cui , Xiaokang Liu , Wei Liu

We discuss the effects of the black holes' spin-multipole structure in the orbital dynamics of binary black holes according to general relativity, focusing on the leading-post-Newtonian-order couplings at each order in an expansion in the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Justin Vines , Jan Steinhoff

The shadow of a rotating black hole with nonvanishing gravitomagnetic charge has been studied. It was shown that in addition to the angular momentum of black hole the gravitomagnetic charge term deforms the shape of the black hole shadow.…

The definition of Komar for the mass of a relativistic source is used as a starting point to introduce volume integrals for Relativistic Multipole Moments (RMM). A certain generalization of the classical Gauss theorem is used to rewrite…

General Relativity and Quantum Cosmology · Physics 2016-11-23 J. L. Hernandez-Pastora , J. Martin , E. Ruiz

The exterior spacetime geometry surrounding an uncharged, spinning black hole in general relativity depends only upon its mass and spin. However, the exterior geometry surrounding any other rotating compact object, for example a neutron…

General Relativity and Quantum Cosmology · Physics 2025-05-09 Jonathan Gorard , James Juno , Ammar Hakim

We investigate the motion of electrically charged test particles in spacetimes with closed timelike curves, a subset of the black hole or wormhole Reissner-Nordstr\"om-NUT spacetimes without periodic identification of time. We show that,…

General Relativity and Quantum Cosmology · Physics 2021-03-01 Gérard Clément , Mourad Guenouche

We study the strong gravitational lensing on the equatorial plane of a quasi-Kerr compact object with arbitrary quadrupole moments which can be used to model the super-massive central object of the galaxy. We find that, when the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Changqing Liu , Songbai Chen , Jiliang Jing

According to the general-relativistic no-hair theorem, astrophysical black holes depend only on their masses and spins and are uniquely described by the Kerr metric. Mass and spin are the first two multipole moments of the Kerr spacetime…

High Energy Astrophysical Phenomena · Physics 2016-05-27 Tim Johannsen

We develop a formalism to compute the gravitational multipole moments and ratios of moments of non-extremal and of supersymmetric black holes in four dimensions, as well as of horizonless microstate geometries of the latter. For…

High Energy Physics - Theory · Physics 2020-12-07 Iosif Bena , Daniel R. Mayerson

Superradiance is the effect of field waves being amplified during reflection from a charged or rotating black hole. In this paper, we study the low-energy dynamics of super-radiant scattering of massive scalar and massless higher spin field…

General Relativity and Quantum Cosmology · Physics 2023-11-20 Bum-Hoon Lee , Wonwoo Lee , Yong-Hui Qi

The Geroch-Hansen and Thorne (ACMC) formalisms give rigorous and equivalent definitions for gravitational multipoles in stationary vacuum spacetimes. However, despite their ubiquitous use in gravitational physics, it has not been shown that…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Daniel R. Mayerson

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. By comparison with the exterior Hartle-Thorne metric, it is showed that it could be matched to an interior solution. This metric may…

General Relativity and Quantum Cosmology · Physics 2014-01-09 Francisco Frutos-Alfaro

We present a technique that can be used to generate a static, axisymmetric solution of the Einstein-Maxwell-Dilaton equations from a stationary, axisymmetric solution of the vacuum Einstein equations. Starting from the Kerr solution,…

High Energy Physics - Theory · Physics 2009-11-07 Y. C. Liang , Edward Teo