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We investigate the adiabatic orbital evolution of a point particle in the Kerr spacetime due to the emission of gravitational waves. In the case that the timescale of the orbital evolution is enough smaller than the typical timescale of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Norichika Sago , Takahiro Tanaka , Wataru Hikida , Katsuhiko Ganz , Hiroyuki Nakano

We discuss the inspiral of a small body around a Kerr black hole. When the time scale of the radiation reaction is sufficiently longer than its orbital period, the leading order orbital evolution is described only by the knowledge of the…

广义相对论与量子宇宙学 · 物理学 2013-06-04 Soichiro Isoyama , Ryuichi Fujita , Hiroyuki Nakano , Norichika Sago , Takahiro Tanaka

General orbits of a particle of small mass $\mu$ around a Kerr black hole of mass $M$ are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the…

广义相对论与量子宇宙学 · 物理学 2011-08-04 Katsuhiko Ganz , Wataru Hikida , Hiroyuki Nakano , Norichika Sago , Takahiro Tanaka

When an EMRI in a perturbed integrable gravitational field, such as a deformed Kerr black hole, undergoes a prolonged resonance, the frequencies that engage in resonance retain a fixed rational ratio, despite experiencing adiabatic changes…

广义相对论与量子宇宙学 · 物理学 2023-07-03 Areti Eleni , Theocharis A. Apostolatos

Extreme-mass ratio inspirals (EMRIs), compact binaries with small mass ratios $\epsilon\ll 1$, will be important sources for low-frequency gravitational wave detectors. Almost all EMRIs will evolve through important transient orbital…

广义相对论与量子宇宙学 · 物理学 2021-10-05 Zachary Nasipak , Charles R. Evans

We calculate the self-force acting on a charged particle on a circular geodesic orbit in the equatorial plane of a rotating black hole. We show by direct calculation that the dissipative self-force balances with the sum of the flux radiated…

广义相对论与量子宇宙学 · 物理学 2022-07-19 T. Torres , S. R. Dolan

We present a numerical code for calculating the self force on a scalar charge moving in a bound (eccentric) geodesic in the equatorial plane of a Kerr black hole. We work in the frequency domain and make use of the method of extended…

广义相对论与量子宇宙学 · 物理学 2015-02-27 Niels Warburton , Leor Barack

We present a calculation of the scalar field self-force (SSF) acting on a scalar-charge particle in a strong-field orbit around a Kerr black hole. Our calculation specializes to circular and equatorial geodesic orbits. The analysis is an…

广义相对论与量子宇宙学 · 物理学 2015-06-30 Niels Warburton , Leor Barack

We propose a simple approach for the radiative evolution of generic orbits around a Kerr black hole. For a scalar-field, we recover the standard results for the evolution of the energy $E$ and the azimuthal angular momentum $L_z$ . In…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Amos Ori

A major focus of much current research in gravitation theory is on understanding how radiation reaction drives the evolution of a binary system, particularly in the extreme mass ratio limit. Such research is of direct relevance to…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Scott A. Hughes

A key source for LISA will be the inspiral of compact objects into supermassive black holes. Recently Mino has shown that in the adiabatic limit, gravitational waveforms for these sources can be computed using for the radiation reaction…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Steve Drasco , Eanna E. Flanagan , Scott A. Hughes

The dynamical parameters conventionally used to specify the orbit of a test particle in Kerr spacetime are the energy $E$, the axial component of the angular momentum, $L_{z}$, and Carter's constant $Q$. These parameters are obtained by…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Wolfram Schmidt

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a black hole of mass $M$, the leading-order radiation-reaction effect is an $\mathcal{O}(\mu^2)$ "self-force" acting on the particle, with a corresponding $\mathcal{O}(\mu)$…

广义相对论与量子宇宙学 · 物理学 2017-05-03 Jonathan Thornburg , Barry Wardell

We semianalytically investigate the scalar self-force experienced in the final stages of extreme mass ratio inspirals of nonspinning scalar particles into supermassive nearly extremal Kerr black holes. We exploit the near-horizon conformal…

广义相对论与量子宇宙学 · 物理学 2020-04-07 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Yan Liu

Bound orbits of black holes are very well understood. Given a Kerr black hole of mass $M$ and spin $S = aM^2$, it is simple to characterize its orbits as functions of the orbit's geometry. How do the orbits change if the black hole is…

广义相对论与量子宇宙学 · 物理学 2019-09-11 Scott A. Hughes

We present a new technique for time-domain numerical evolution of the scalar field generated by a pointlike scalar charge orbiting a black hole. Time-domain evolution offers an efficient way for calculating black hole perturbations,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Leor Barack , Darren A Golbourn

Geodesic motion of a point particle in Kerr geometry has three constants of motion, energy $E$, azimuthal angular momentum $L$, and Carter constant $Q$. Under the adiabatic approximation, radiation reaction effect is characterized by the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Norichika Sago , Takahiro Tanaka , Wataru Hikida , Hiroyuki Nakano

This is the second in a series of papers whose aim is to generate ``adiabatic'' gravitational waveforms from the inspiral of stellar-mass compact objects into massive black holes. In earlier work, we presented an accurate (2+1)D…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Pranesh A. Sundararajan , Gaurav Khanna , Scott A. Hughes , Steve Drasco

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy…

广义相对论与量子宇宙学 · 物理学 2015-02-04 Niels Warburton

We investigate resonance crossings of a charged body moving around a Kerr black hole immersed in an external homogeneous magnetic field. This system can serve as an electromagnetic analogue of a weakly non-integrable extreme mass ratio…

广义相对论与量子宇宙学 · 物理学 2023-03-14 Sajal Mukherjee , Ondrej Kopacek , Georgios Lukes-Gerakopoulos
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