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The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

The non-equatorial spherical null geodesics of rotating Kerr black holes are studied analytically. Unlike the extensively studied equatorial circular orbits whose radii are known analytically, no closed-form formula exists in the literature…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Shahar Hod

In this paper, we investigate for the first time the quasi-periodic oscillations (QPOs) that arise as a result of halting the Bondi-Hoyle-Lyttleton (BHL) accretion mechanism around a Kerr black hole. Unlike previous studies, which focused…

High Energy Astrophysical Phenomena · Physics 2025-08-19 Orhan Donmez

We characterize and phenomenologically model the merger-ringdown of gravitational waves emitted by a small compact object that plunges and merges into a Kerr black hole from equatorial-eccentric inspirals. The waveforms are generated…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Guglielmo Faggioli , Alessandra Buonanno , Maarten van de Meent , Gaurav Khanna

For the Kerr naked singularity (KNS) spacetimes, we study properties of spherical photon orbits (SPOs) confined to constant Boyer-Lindquist radius r. Some new features of the SPOs are found, having no counterparts in the Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2018-11-08 Daniel Charbulák , Zdeněk Stuchlík

We study the gravitational lensing by a Kerr-Sen Black Hole arising in heterotic string theory. A closed form expression for the bending angle of light in equatorial plane of Kerr-Sen Black Hole is derived as a function of impact parameter,…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Rashmi Uniyal , Hemwati Nandan , Philippe Jetzer

We study extreme mass ratio inspirals (EMRIs) due to an infalling Light Compact Object (LCO) onto a generic class of stationary and axi-symmetric massive compact objects (MCO - with or without a horizon). Using the quadrupole hybrid…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

This paper presents results for the innermost stable circular orbit in a Kerr-like spacetime. The metric employed is an approximation that combines the Kerr metric with the Erez-Rosen metric, expanded in a Taylor series. Consequently, this…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Fabián Chaverri-Miranda , Francisco Frutos-Alfaro , Diego Solano-Alfaro , Pedro Gómez-Ovares , André Oliva

General relativistic precession limits the ability of gravitational encounters to increase the eccentricity $e$ of orbits near a supermassive black hole (SBH). This "Schwarzschild barrier" (SB) has been shown to play an important role in…

Astrophysics of Galaxies · Physics 2015-06-19 Adrian S. Hamers , Simon F. Portegies Zwart , David Merritt

An accurate closed-form expression is provided to predict the bending angle of light as a function of impact parameter for equatorial orbits around Kerr black holes of arbitrary spin. This expression is constructed by assuring that the…

General Relativity and Quantum Cosmology · Physics 2017-06-29 Nathaniel S. Barlow , Steven J. Weinstein , Joshua A. Faber

We present exact solutions of test particle orbits spiralling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum $a$-parameter of the Kerr metric.…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Andrew Mummery , Steven Balbus

Gravitational-wave astronomy can give us access to the structure of black holes, potentially probing microscopic or even Planckian corrections at the horizon scale, as those predicted by some quantum-gravity models of exotic compact…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Elisa Maggio , Paolo Pani , Valeria Ferrari

The Detweiler-Barack-Sago redshift function for particles moving along slightly eccentric equatorial orbits around a Kerr black hole is currently known up to the second order in eccentricity, second order in spin parameter, and the 8.5…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico

We examine the evolution, under gravitational radiation reaction, of slightly eccentric equatorial orbits of point particles around Kerr black holes. Our method involves numerical integration of the Sasaki-Nakamura equation. It is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daniel Kennefick

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 compute exactly the Lense-Thirring precession frequency for point masses in the Kerr metric, for arbitrary black hole mass and specific angular momentum. We show that this frequency, for point masses at or close to the innermost stable…

Astrophysics · Physics 2009-10-31 A. Merloni , M. Vietri , L. Stella , D. Bini

Recently, a study on shadow of quantum corrected Schwarzschild black hole in loop quantum gravity appeared in [Ye et al., Phys. Lett. B 851, 138566, (2024)] assuming a fixed value of Barbero-Immirzi parameter $\gamma$. Following this…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Muhammad Ali Raza , M. Zubair , Farruh Atamurotov , Ahmadjon Abdujabbarov

An outstanding prediction of general relativity is the fact that the angular momentum $S$ of an isolated black hole with mass $\mu$ is limited by the Kerr bound, $S\leq G\mu^2/c$. Testing this cornerstone is challenging due to the…

General Relativity and Quantum Cosmology · Physics 2020-10-22 Gabriel Andres Piovano , Andrea Maselli , Paolo Pani

The Kerr metric models the final classical black hole state after gravitational collapse of matter and radiation. Any stationary metric which is close to the Kerr metric has been proven to be diffeomorphic to it. Now, finite…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Geoffrey Compère , Jiang Long

We give a thorough description of the shape of rotating axisymmetric stable black-hole (apparent) horizons applicable in dynamical or stationary regimes. It is found that rotation manifests in the widening of their central regions…

General Relativity and Quantum Cosmology · Physics 2013-11-21 Martin Reiris , Maria Eugenia Gabach Clement