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We study the exact evolution of the orbital angular momentum of a massive particle in the gravitational field of a Kerr black hole. We show analytically that, for a wide class of orbits, the angular momentum's hodograph is always close to a…

广义相对论与量子宇宙学 · 物理学 2019-07-11 Vladimir N. Strokov , Shant Khlghatyan

Recently, Ban\~{a}dos, Silk and West (BSW) found that the center-of-mass energy of two colliding test particles in the neighborhood of an extreme Kerr black hole could be arbitrarily high when one particle has the critical angular momentum…

高能物理 - 理论 · 物理学 2015-03-17 Yang Li , Jie Yang , Yun-Liang Li , Shao-Wen Wei , Yu-Xiao Liu

Highly accurate closed-form expressions that describe the full trajectory of photons propagating in the equatorial plane of a Kerr black hole are obtained using asymptotic approximants. This work extends a prior study of the overall bending…

广义相对论与量子宇宙学 · 物理学 2018-10-04 Ryne J. Beachley , Morgan Mistysyn , Joshua A. Faber , Steven J. Weinstein , Nathaniel S. Barlow

When a particle moves around a Kerr black hole, it radiates gravitational waves.Some of these waves are absorbed by the black hole. We calculate such absorption of gravitational waves induced by a particle of mass mu in a circular orbit on…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Hideyuki Tagoshi , Shuhei Mano , Eiichi Takasugi

We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

广义相对论与量子宇宙学 · 物理学 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

We numerically implement a quasi-spherical approximation scheme for computing gravitational waveforms for coalescing black holes, testing it against angular momentum by applying it to Kerr black holes. As error measures, we take the…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Hisa-aki Shinkai , Sean A. Hayward

The influence of disc radiation capture upon black hole rotational evolution is negligible for radiatively inefficient discs. For the standard thin disc model it is a slight but potentially important effect leading to the equilibrium spin…

高能天体物理现象 · 物理学 2015-06-15 Pavel Abolmasov

Extreme-mass-ratio-inspiral (EMRI) is one of the most important sources for the future space-borne gravitational wave detectors. In such kind of systems, the compact objects usually orbit around the central supermassive black holes with…

广义相对论与量子宇宙学 · 物理学 2021-08-11 Chen Zhang , Wen-Biao Han , Shu-Cheng Yang

Assuming that a particle source is at rest in a locally non-rotating frame on the equatorial plane of the Kerr-Sen black hole, we investigate the escape of the massless particle and massive particle from the black hole to spatial infinity.…

广义相对论与量子宇宙学 · 物理学 2021-02-24 Ming Zhang , Jie Jiang

A nonrelativistic approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach can be used to point out problems and prospects inherent in a more exact theory of quantum…

广义相对论与量子宇宙学 · 物理学 2010-05-27 Johan Hansson

Black holes described by the Kerr metric can have a theoretical maximum dimensionless spin parameter of $a_\bullet = 1$, but several effects may limit the maximum spin parameter in astrophysical systems. We perform general relativistic…

高能天体物理现象 · 物理学 2026-04-23 Tegan A. Thomas , Angelo Ricarte , Cora Prather , Hyerin Cho

In this article we calculate the total angular momentum for Kerr space-time for slow rotations. In order to analyze the role of such quantity we apply Weyl quantization method to obtain a quantum equation for the z-component of the angular…

综合物理 · 物理学 2018-08-27 S. C. Ulhoa , E. P. Spaniol , R. G. G. Amorim

The aim of the present article is to evaluate the motion of charged test particles in the vicinity of a near-extremal rotating black hole in the presence of magnetic fields. Euler-Lagrange motion equations and effective potential methods…

广义相对论与量子宇宙学 · 物理学 2021-02-03 C. H. Coimbra-Araújo , R. C. Anjos

High-energy collisions can occur for radially moving charged test particles in the extremal Reissner-Nordstr\"om spacetime if one of the particles is fine-tuned and the collision point is taken close to the horizon. This is an analogy of…

广义相对论与量子宇宙学 · 物理学 2019-10-16 F. Hejda , J. Bičák , O. B. Zaslavskii

We revisit the Kerr black hole as cast in the Boyer-Lindquist, Kerr-Schild and Weyl canonical coordinates, and calculate its total mass/energy and total angular momentum by using linearized gravity along with its background Killing…

广义相对论与量子宇宙学 · 物理学 2023-09-08 Okan Günel , Özgür Sarıoğlu

We calculate the secular changes of the orbital parameters of a point particle orbiting a Kerr black hole, due to the gravitational radiation reaction. For this purpose, we use the post-Newtonian (PN) approximation in the first order black…

广义相对论与量子宇宙学 · 物理学 2015-07-14 Norichika Sago , Ryuichi Fujita

We derive closed formulas for the mass and spin parameters of a Kerr black hole in terms of a minimal quantity of observational data: the red-/blue-shifts of photons emitted by massive particles (stars) moving on geodesics around the black…

广义相对论与量子宇宙学 · 物理学 2021-02-17 Alfredo Herrera-Aguilar , Raúl Lizardo-Castro , Ulises Nucamendi

The Kerr rotating black hole metric has unstable photon orbits that orbit around the hole at fixed values of the Boyer-Lindquist coordinate $r$ that depend on the axial angular momentum of the orbit, as well as on the parameters of the…

广义相对论与量子宇宙学 · 物理学 2022-07-27 Don N. Page

In 4-dimensional General Relativity, black holes are described by the Kerr solution and are completely specified by their mass $M$ and by their spin angular momentum $J$. A fundamental limit for a black hole in General Relativity is the…

广义相对论与量子宇宙学 · 物理学 2011-04-13 Cosimo Bambi

In an extreme mass-ratio binary black hole system, a non-equatorial orbit will list (i.e. increase its angle of inclination, {\iota}) as it evolves in Kerr spacetime. The abutment, a set of evolving, near-polar, retrograde orbits, for which…

广义相对论与量子宇宙学 · 物理学 2015-05-20 P. G. Komorowski , S. R. Valluri , M. Houde