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According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric deviations from the Kerr metric have been suggested to study…

广义相对论与量子宇宙学 · 物理学 2011-06-24 Tim Johannsen , Dimitrios Psaltis

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

广义相对论与量子宇宙学 · 物理学 2016-08-24 Maarten van de Meent

Rotating black holes without equatorial reflection symmetry can naturally arise in effective low-energy theories of fundamental quantum gravity, in particular, when parity-violating interactions are introduced. Adopting a theory-agnostic…

广义相对论与量子宇宙学 · 物理学 2022-04-11 Che-Yu Chen , Hsiang-Yi Karen Yang

We discuss motions of extended bodies in Kerr spacetime by using Mathisson-Papapetrou-Dixon equations. We firstly solve the conditions for circular orbits, and calculate the orbital frequency shift due to the mass quadrupoles. The results…

广义相对论与量子宇宙学 · 物理学 2017-03-22 Wen-Biao Han , Ran Cheng

Recently the non-local gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late-time accelerating expansion of the universe. For any…

广义相对论与量子宇宙学 · 物理学 2019-08-23 Utkarsh Kumar , Sukanta Panda , Avani Patel

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

In this paper, we investigate the motion of spinning particles around a covariant quantum-corrected black hole without a Cauchy horizon within the framework of effective quantum gravity, and examine the influence of quantum gravitational…

广义相对论与量子宇宙学 · 物理学 2025-09-10 Jiawei Chen , Jinsong Yang

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

Compact objects inspiraling into supermassive black holes, known as extreme-mass-ratio inspirals, are an important source for future space-borne gravitational-wave detectors. When constructing waveform templates, usually the adiabatic…

广义相对论与量子宇宙学 · 物理学 2021-08-04 Chen Zhang , Wen-Biao Han , Xing-Yu Zhong , Gang Wang

In this paper, we explore the signatures of non-rotating and rotating black hole mergers in the matter-free modified gravity. First, we solve the unstable circular null orbits and the innermost stable circular timelike orbits via the…

广义相对论与量子宇宙学 · 物理学 2018-07-30 Shao-Wen Wei , Yu-Xiao Liu

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

广义相对论与量子宇宙学 · 物理学 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

We present analytical solutions describing a family of both inwardly and outwardly spiralling orbits in the Kerr spacetime. The solutions are exact, and remarkable for their simplicity. These orbits all have the angular momentum and energy…

广义相对论与量子宇宙学 · 物理学 2023-07-12 Andrew Mummery , Steven Balbus

We consider generic rotating axially symmetric "dirty" (surrounded by matter) black holes. Near-horizon circular equatorial orbits are examined in two different cases of near-extremal (small surface gravity $\kappa $) and exactly extremal…

广义相对论与量子宇宙学 · 物理学 2015-09-02 O. B. Zaslavskii

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

广义相对论与量子宇宙学 · 物理学 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano

We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

广义相对论与量子宇宙学 · 物理学 2017-03-08 Clifford M. Will , Matthew Maitra

This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

广义相对论与量子宇宙学 · 物理学 2010-01-08 Leor Barack

We describe recent numerical simulations of the merger of a class of equal mass, non-spinning, eccentric binary black hole systems in general relativity. We show that with appropriate fine-tuning of the initial conditions to a region of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Frans Pretorius , Deepak Khurana

We derive the conditions for a non-equatorial eccentric bound orbit to exist around a Kerr black hole in two-parameter spaces: the energy, angular momentum of the test particle, spin of the black hole, and Carter's constant space ($E$, $L$,…

广义相对论与量子宇宙学 · 物理学 2022-12-07 Prerna Rana , A. Mangalam

The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such parameters must be chosen carefully to…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Matthew Caudill , Gregory B. Cook , Jason D. Grigsby , Harald P. Pfeiffer

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

广义相对论与量子宇宙学 · 物理学 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines