Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders

Bini, Donato; Damour, Thibault; Geralico, Andrea

doi:10.1103/physrevd.102.024062

Cited by 135 publications

(140 citation statements)

References 57 publications

Supporting

Mentioning

136

Contrasting

Order By: Relevance

“…The PNexpanded dynamics is fully known at the 4PN level (corresponding to 1/c 8 fractional corrections to the Newtonian description) [4,[53][54][55][56][57][58][59]. At the 5PN level, our new method [1] has allowed us to derive, in a gauge-invariant way, the full dynamics modulo two undetermined numer-ical parameters, denotedd ν 2 5 and a ν 2 6 . These coefficients parametrize terms of the (sketchy) form (1.8) in the (c.m.…”

Section: Pnmentioning

confidence: 99%

“…[Note that p r has the dimension of a velocity, and, actually, is equal, in lowest approximation, to the relative radial velocity dR/dt.] Recent progress in the (EFT-based) computeraided evaluation of the PN-expanded interaction potential of binary systems [59][60][61][62] gives hope that the two missing coefficientsd ν 2 5 and a ν 2 6 might be soon derived. This would lead to a complete knowledge of the 5PN dynamics.…”

Section: Pnmentioning

confidence: 99%

“…The 5.5PN Hamiltonian is entirely nonlocal, and it is fully known [2]. At the 6PN level, our method has allowed us to to derive [3], in a gauge-invariant way, the full 6PN dynamics modulo four undetermined numerical parameters, denoted q ν 2 45 ,d ν 2 6 , a ν 2 7 , and a ν 3 7 . These coefficients parametrize terms of the (sketchy) form 9) in the (c.m.…”

Section: Pnmentioning

confidence: 99%

“…However, in order to explicate this knowledge (in a gaugeinvariant way) from our current results [2,3], one needs to explicitly derive the (f-route) nonlocal contribution, χ nonloc,f…”

Section: Pnmentioning

confidence: 99%

“…In Ref. [2], we have shown how to use this new methodology to derive the two-body dynamics at the fifth post-Newtonian (5PN), and fifth-anda-half post-Newtonian (5.5PN) levels. The latter results were then extended to the sixth post-Newtonian (6PN) level in Ref.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Sixth post-Newtonian local-in-time dynamics of binary systems

2020

Self Cite

View full text Add to dashboard Cite

We complete our previous derivation, at the sixth post-Newtonian (6PN) accuracy, of the localin-time dynamics of a gravitationally interacting two-body system by giving two gauge-invariant characterizations of its complementary nonlocal-in-time dynamics. On the one hand, we compute the nonlocal part of the scattering angle for hyberboliclike motions; and, on the other hand, we compute the nonlocal part of the averaged (Delaunay) Hamiltonian for ellipticlike motions. The former is computed as a large-angular-momentum expansion (given here to next-to-next-to-leading order), while the latter is given as a small-eccentricity expansion (given here to the tenth order). We note the appearance of ζ(3) in the nonlocal part of the scattering angle. The averaged Hamiltonian for ellipticlike motions then yields two more gauge-invariant observables: the energy and the periastron precession as functions of orbital frequencies. We point out the existence of a hidden simplicity in the mass-ratio dependence of the gravitational-wave energy loss of a two-body system.

show abstract

Section: Pnmentioning

confidence: 99%

Section: Pnmentioning

confidence: 99%

Section: Pnmentioning

confidence: 99%

“…However, in order to explicate this knowledge (in a gaugeinvariant way) from our current results [2,3], one needs to explicitly derive the (f-route) nonlocal contribution, χ nonloc,f…”

Section: Pnmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sixth post-Newtonian local-in-time dynamics of binary systems

2020

Self Cite

View full text Add to dashboard Cite

show abstract

A study of McVittie Spacetime in Stationary and Dynamical Regime

Bhattacharyya¹,

Ray

Khlopov

et al. 2022

Fortschritte der Physik

View full text Add to dashboard Cite

One of the solutions of the Einstein equations, called McVittie solution, signifying a black hole embedded by the dynamic spacetime is studied. In the stationary spacetime the Mcvittie metric becomes the Schwarzschild-de Sitter metric (SdS). The geodesic of a freely falling test particle towards the black hole is examined in the SdS spacetime. It is found that unlike the Schwarzschild case the potential of such particle becomes maximum at a point where it eventually stops for a while and then resumes its motion towards the center of the black hole. It is shown that an observer or system of particles is spaghettified near the black hole singularity in the SdS spacetime. The dynamics of the universe in the framework of McVittie metric, being a generalized time dependent SdS solution, is represented in terms of that point, called stationary or turning point. The motion of the stationary point is studied in various regimes of the expanding universe and the possible outcomes are discussed in brief.

show abstract

Black Hole Perturbation Theory and Gravitational Self-Force

Pound

Wardell

2021

Handbook of Gravitational Wave Astronomy

View full text Add to dashboard Cite

Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders

Cited by 135 publications

References 57 publications

Sixth post-Newtonian local-in-time dynamics of binary systems

Sixth post-Newtonian local-in-time dynamics of binary systems

A study of McVittie Spacetime in Stationary and Dynamical Regime

Black Hole Perturbation Theory and Gravitational Self-Force

Contact Info

Product

Resources

About