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We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Donato Bini , Andrea Geralico

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

The innermost stable circular orbit (ISCO) delimits the transition from circular orbits to those that plunge into a black hole. In the test-mass limit, well-defined ISCO conditions exist for the Kerr and Schwarzschild spacetimes. In the…

广义相对论与量子宇宙学 · 物理学 2011-01-25 Marc Favata

We compute the periastron advance using the effective-one-body formalism for binary black holes moving on quasi-circular orbits and having spins collinear with the orbital angular momentum. We compare the predictions with the periastron…

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

广义相对论与量子宇宙学 · 物理学 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton

The motion of classical spinning test particles in the equatorial plane of a Kerr black hole is considered for the case where the particle spin is perpendicular to the equatorial plane. We review some results of our recent research of the…

广义相对论与量子宇宙学 · 物理学 2016-05-16 O. Yu. Tsupko , G. S. Bisnovatyi-Kogan , P. I. Jefremov

Using the exact solution that describes multi-centered rotating black holes, recently discovered by Teo and Wan, we investigate the innermost stable circular orbit (ISCO) for massive particles and the circular orbit for massless particles…

广义相对论与量子宇宙学 · 物理学 2024-03-28 Eiki Kagohashi , Ryotaku Suzuki , Shinya Tomizawa

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving…

广义相对论与量子宇宙学 · 物理学 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

The equations of motion of two point masses have recently been derived at the 3PN approximation of general relativity. From that work we determine the location of the innermost circular orbit or ICO, defined by the minimum of the binary's…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luc Blanchet

We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal…

广义相对论与量子宇宙学 · 物理学 2011-07-04 Carlos O. Lousto , Yosef Zlochower

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

广义相对论与量子宇宙学 · 物理学 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH)…

广义相对论与量子宇宙学 · 物理学 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

We consider spin-orbit ("geodetic") precession for a compact binary in strong-field gravity. Specifically, we compute $\psi$, the ratio of the accumulated spin-precession and orbital angles over one radial period, for a spinning compact…

广义相对论与量子宇宙学 · 物理学 2017-03-31 Sarp Akcay , David Dempsey , Sam Dolan

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook

We study analytically a black-hole-ring system which is composed of a stationary axisymmetric ring of particles in orbit around a perturbed Kerr black hole of mass $M$. In particular, we calculate the shift in the orbital frequency of the…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Shahar Hod

Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

广义相对论与量子宇宙学 · 物理学 2022-07-13 Lisa V. Drummond , Scott A. Hughes

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent prescription of Akcay, Dempsey, and Dolan. We…

广义相对论与量子宇宙学 · 物理学 2017-09-20 Chris Kavanagh , Donato Bini , Thibault Damour , Seth Hopper , Adrian C. Ottewill , Barry Wardell

We consider the motion of classical spinning test particles in Schwarzschild and Kerr metrics and investigate innermost stable circular orbits (ISCO). The main goal of this work is to find analytically the small-spin corrections for the…

广义相对论与量子宇宙学 · 物理学 2015-05-25 Paul I. Jefremov , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

In this article, we investigate the motion of a spinning particle at a constant inclination, different from the equatorial plane, around a Kerr black hole. We mainly explore the possibilities of stable circular orbits for different spin…

广义相对论与量子宇宙学 · 物理学 2018-10-24 Sajal Mukherjee , Rajesh Kumble Nayak

The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass $M$ has (areal) radius $r_{\rm isco}= 6M G/c^2$. If the particle is endowed with mass $\mu(\ll M)$, it experiences a gravitational…

广义相对论与量子宇宙学 · 物理学 2009-06-30 Leor Barack , Norichika Sago
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