2.5PN linear momentum flux from inspiralling compact binaries in quasicircular orbits and associated recoil: Nonspinning case

Mishra, C.; Arun, K. G.; Iyer, B. R.

doi:10.1103/physrevd.85.044021

Cited by 8 publications

(4 citation statements)

References 46 publications

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“…The relevant 2.5PN corrections to the linear momentum flux have been computed in [58] for nonspinning, quasicircular compact binaries. We express their result in terms of the l = 1, m = 1 moment of the flux by using the fact that We can then integrate the flux with respect to u.…”

Section: B Flux Of CM Angular Momentummentioning

confidence: 99%

Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes

Nichols

2018

Phys. Rev. D

136

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Gravitational-wave (GW) memory effects are constant changes in the GW strain and its time integrals, which are closely connected to changes in the charges that characterize asymptotically flat spacetimes. The first GW memory effect discovered was a lasting change in the GW strain. It can occur when GWs or massless fields carry away 4-momentum from an isolated source. Subsequently, it was shown that fluxes of intrinsic angular momentum can generate a new type of memory effect called the spin memory, which is an enduring change in a portion of the time integral of the GW strain. In this paper, we note that there is another new type of memory effect. We call it the center-of-mass (CM) memory effect, because it is related to changes in the CM part of the angular momentum of a spacetime. We first examine a few properties of the CM angular momentum. Specifically, we describe how it transforms under the supertranslation symmetry transformations of the Bondi-Metzner-Sachs group, and we compute a new expression for the flux of CM angular momentum carried by GWs in terms of a set of radiative multipole moments of the GW strain. We then turn to the CM memory effect. The CM memory effect appears in a quantity which has the units of the time integral of the GW strain. We define the effect in asymptotically flat spacetimes that start in a stationary state, radiate, and settle to a different stationary state. We show that it is invariant under infinitesimal supertranslation symmetries in this context. To determine the magnitude of the flux of CM angular momentum and the CM memory effect, we compute these quantities for nonspinning, quasicircular compact binaries in the post-Newtonian approximation. The CM memory effect arises from terms in the gravitational waveform for such binaries beginning at third and fourth post-Newtonian order for unequal-and equal-mass binaries, respectively. Finally, we estimate the amplitude of the CM memory effect for these binaries. We anticipate that it will be unlikely for current or upcoming GW detectors to measure the effect.

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Section: B Flux Of CM Angular Momentummentioning

confidence: 99%

Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes

Nichols

2018

Phys. Rev. D

136

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“…(2.3)-(2.5) of Ref. [16]. Further, the explicit expressions for various source multipole moments are given in Eqs.…”

Section: Multipole Expansion For Linear Momentum Fluxmentioning

confidence: 99%

“…(3.1)-(3.4) of Ref. [16]. The only other input we require is the 2.5PN accurate equations of motion which can be found in Ref.…”

Section: Multipole Expansion For Linear Momentum Fluxmentioning

confidence: 99%

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2.5PN Kick from Black-Hole Binaries in Circular Orbit: Nonspinning Case

Mishra

Arun

Iyer

2014

Springer Proceedings in Physics

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Abstract. Using the Multipolar post-Minskowskian formalism, we compute the linear momentum flux from black-hole binaries in circular orbits and having no spins. The total linear momentum flux contains various types of instantaneous (which are functions of the retarded time) and hereditary (which depends on the dynamics of the binary in the past) terms both of which are analytically computed. In addition to the inspiral contribution, we use a simple model of plunge to compute the kick or recoil accumulated during this phase.

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Post-Newtonian theory for gravitational waves

Blanchet

2024

Living Rev Relativ

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To be observed and analyzed by the network of current gravitational-wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground-based (Einstein Telescope, Cosmic Explorer) and space-borne (LISA) detectors, inspiralling compact binaries—binary star systems composed of neutron stars and/or black holes in their late stage of evolution prior the final coalescence—require high-accuracy predictions from general relativity. The orbital dynamics and emitted gravitational waves of these very relativistic systems can be accurately modelled using state-of-the-art post-Newtonian theory. In this article we review the multipolar-post-Minkowskian approximation scheme, merged to the standard post-Newtonian expansion into a single formalism valid for general isolated matter system. This cocktail of approximation methods (called MPM-PN) has been successfully applied to compact binary systems, producing equations of motion up to the fourth-post-Newtonian (4PN) level, and gravitational waveform and flux to 4.5PN order beyond the Einstein quadrupole formula. We describe the dimensional regularization at work in such high post-Newtonian calculations, for curing both ultra-violet and infra-red divergences. Several landmark results are detailed: the definition of multipole moments, the gravitational radiation reaction, the conservative dynamics of circular orbits, the first law of compact binary mechanics, and the non-linear effects in the gravitational-wave propagation (tails, iterated tails and non-linear memory). We also discuss the case of compact binaries moving on eccentric orbits, and the effects of spins (both spin-orbit and spin–spin) on the equations of motion and gravitational-wave energy flux and waveform.

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2.5PN linear momentum flux from inspiralling compact binaries in quasicircular orbits and associated recoil: Nonspinning case

Cited by 8 publications

References 46 publications

Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes

Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes

2.5PN Kick from Black-Hole Binaries in Circular Orbit: Nonspinning Case

Post-Newtonian theory for gravitational waves

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