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Scattering of particles in the gravitational field of rotating black holes is considered. Expressions for scattering energy of particles in the centre of mass system are obtained. It is shown that scattering energy of particles in the…

General Relativity and Quantum Cosmology · Physics 2014-11-05 A. A. Grib , Yu. V. Pavlov

We performed detailed calculations of the relativistic effects acting on both the reflection continuum and the iron line from accretion discs around rotating black holes. Fully relativistic transfer of both illuminating and reprocessed…

Astrophysics · Physics 2009-10-31 A. Martocchia , V. Karas , G. Matt

This short note serves as an introduction to gravitational radiation through reviewing the inspiral-plunge transition phase in extreme mass ratio binaries. We study the relativistic motion of a compact object (CO) of mass $m$ around a…

General Relativity and Quantum Cosmology · Physics 2019-08-20 Amir Jafari

We present a direct, geometric derivation of the generalized Smarr formula for the stationary axially symmetric black holes with nonlinear electromagnetic fields. The additional term is proven to be proportional to the integral of the trace…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Luka Gulin , Ivica Smolić

In this paper, we investigate the energy problem in general relativity using approximate Lie symmetry methods for differential equations. This procedure is applied to Bardeen model (the regular black hole solution). Here we are forced to…

General Relativity and Quantum Cosmology · Physics 2011-09-08 M. Sharif , Saira Waheed

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

The detection of gravitational waves from Extreme mass Ratio Inspirals (EMRIs) by the future space-based gravitational-wave detectors demands the generation of accurate enough waveform templates. Since the spin of the smaller secondary body…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We use a recent result by Cabezas et al. to build up an approximate solution to the gravitational field created by a rigidly rotating polytrope. We solve the linearized Einstein equations inside and outside the surface of zero pressure…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Martin , A. Molina , E. Ruiz

We analyse properties of general stationary and axisymmetric spacetimes, with a particular focus on circularity -- an accidental symmetry enjoyed by the Kerr metric, and therefore widely assumed when searching for rotating black hole…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Eugeny Babichev , Jacopo Mazza

Here, we derive the metric for the spacetime around rotating object for the gravity action having nonlocal correction of $R\Box^{-2} R $ to the Einstein-Hilbert action. Starting with the generic stationary, axisymmetric metric, we solve the…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Utkarsh Kumar , Sukanta Panda , Avani Patel

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete initial data for spacetimes (the full…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Antonios Tsokaros , Kōji Uryū , Stuart L. Shapiro

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

We are motivated by the recently reported dynamical evidence of stars with short orbital periods moving around the center of the Milky Way and the corresponding hypothesis about the existence of a supermassive black hole hosted at its…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Alfredo Herrera-Aguilar , Ulises Nucamendi

We analyze the scalar radiation emitted by a source in a circular geodesic orbit around a spherically symmetric black hole. The black hole spacetime considered is quite general, in the sense that it encompasses the solutions of…

General Relativity and Quantum Cosmology · Physics 2020-04-21 Rafael Bernar

Equations of fully general relativistic radiation hydrodynamics in Kerr space-time are derived. While the interactions between matter and radiation are introduced in the comoving frame, the derivatives used when describing the global…

Astrophysics · Physics 2009-11-13 Rohta Takahashi

The nonlinear superposition of the delta-metric and the Kerr metric results in delta-Kerr metric that represents a deformed Kerr black hole with delta = 1 + q, where q > 0 is proportional to the nonrelativistic quadrupole moment of the…

General Relativity and Quantum Cosmology · Physics 2020-02-10 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon

The effect of gravitational radiation reaction on circular orbits around a spinning (Kerr) black hole is computed to leading order in $S$ (the magnitude of the spin angular momentum of the hole) and in the strength of gravity $M/r$ (where…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Fintan D. Ryan

We consider scattering in quantum gravity and derive long-range classical and quantum contributions to the scattering of light-like bosons and fermions (spin-0, spin-1/2, spin-1) from an external massive scalar field, such as the Sun or a…

High Energy Physics - Theory · Physics 2017-04-07 N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein , Ludovic Plante , Pierre Vanhove

A convenient formalism for averaging the losses produced by gravitational radiation backreaction over one orbital period was developed in an earlier paper. In the present paper we generalize this formalism to include the case of a closed…

General Relativity and Quantum Cosmology · Physics 2016-08-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

In this work we present a generalized Laplace method for a formal, simple, quasi-classical, determination of the outer and inner horizon radius of Kerr-Newman black hole. We consider classical gravitational interaction between a thin, with…

General Relativity and Quantum Cosmology · Physics 2008-11-27 Vladan Pankovic , Sima Ciganovic , Jovan Ivanovic