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相关论文: Gravitational self-force corrections to gyroscope …

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We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Donato Bini , Andrea Geralico

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 present an expression for the gravitational self-force correction to the geodetic spin precession of a spinning compact object with small, but non-negligible mass in a bound, equatorial orbit around a Kerr black hole. We consider only…

广义相对论与量子宇宙学 · 物理学 2017-09-15 Sarp Akcay

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

We present an exact analytical investigation of spin precession for a test gyroscope in the magnetized Kerr spacetime--an exact electrovacuum solution to the Einstein-Maxwell equations. Our approach accommodates arbitrary magnetic field…

广义相对论与量子宇宙学 · 物理学 2025-07-31 Karthik Iyer , Chandrachur Chakraborty

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

广义相对论与量子宇宙学 · 物理学 2018-09-26 Donato Bini , Andrea Geralico

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass-ratio. That is, the local correction to equations of motion for a compact object orbiting…

广义相对论与量子宇宙学 · 物理学 2018-05-30 Maarten van de Meent

We study conservative finite-mass corrections to the motion of a particle in a bound (eccentric) strong-field orbit around a Schwarzschild black hole. We assume the particle's mass $\mu$ is much smaller than the black hole mass $M$, and…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Leor Barack , Norichika Sago

We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Oleksii Yanchyshen , Eva Hackmann , Claus Lämmerzahl

Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Lior M. Burko

We present a new method for calculation of the gravitational self-force (GSF) in Kerr geometry, based on a time-domain reconstruction of the metric perturbation from curvature scalars. In this approach, the GSF is computed directly from a…

广义相对论与量子宇宙学 · 物理学 2017-06-12 Leor Barack , Paco Giudice

We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial…

广义相对论与量子宇宙学 · 物理学 2015-06-25 K. Rajesh Nayak , C. V. Vishveshwara

We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous…

广义相对论与量子宇宙学 · 物理学 2014-07-23 Donato Bini , Thibault Damour

Continuing our analytic computation of the first-order self-force contribution to the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body we provide the exact expressions of the tenth and…

广义相对论与量子宇宙学 · 物理学 2015-04-01 Donato Bini , Thibault Damour

This is the third in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

广义相对论与量子宇宙学 · 物理学 2013-05-13 Sam R. Dolan , Leor Barack

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

广义相对论与量子宇宙学 · 物理学 2015-08-10 Cesar Merlin , Abhay G. Shah

The Kerr metric of spherically symmetric gravitational field is analyzed through the coordinate transformation from the rotating frame to fixing frame, and consequently that the inertial force field (with the exception of the centrifugal…

量子物理 · 物理学 2009-11-10 Jian-Qi Shen , Hong-Yi Zhu , Shen-Lei Shi

We compute gravitational self-force corrections to tidal invariants for spinning particles moving along circular orbits in a Schwarzschild spacetime. In particular, we consider the square and the cube of the gravitoelectric quadrupolar…

广义相对论与量子宇宙学 · 物理学 2018-10-24 Donato Bini , Andrea Geralico

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

We discuss the motion of spin in inertial and gravitational fields. The coupling of spin with rotation and the gravitomagnetic field has already been extensively studied; therefore, we focus here on the inertial and gravitational spin-orbit…

广义相对论与量子宇宙学 · 物理学 2013-09-25 Bahram Mashhoon , Yuri N. Obukhov
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