Energetics of two-body Hamiltonians in post-Minkowskian gravity

Antonelli, Andrea; Buonanno, A.; Steinhoff, Jan; Meent, Maarten van de; Vines, Justin

doi:10.1103/physrevd.99.104004

Cited by 176 publications

(146 citation statements)

References 101 publications

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“…Note that the same results a fortiori apply to the EOB conserved quantities, which by construction are equal to their PN counterparts (considered in a CoM frame). In the EOB formalism, both the second-post-Minkowskian Hamiltonian (second order in G and all orders in 1/c) [31], and the third-post-Minkowskian one [O(G 3 )] [38,39], have been recently derived and exhibit the same features. Let us also note that the validity of the first law of binary dynamics has been also checked at the fourth post-Newtonian approximation [56].…”

Section: Interpretation Ofl As a Mechanical Angular Momentummentioning

confidence: 99%

Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime

et al. 2019

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For a Schwarzchild black hole of mass M , we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius r = 4GM/c 2 . When the particle is endowed with a small mass, µ M , it experiences an effective gravitational self-force, whose conservative piece shifts the critical value of the angular momentum and the frequency of the asymptotic circular orbit away from their geodesic values. By directly integrating the self-force along the orbit (ignoring radiative dissipation), we numerically calculate these shifts to O(µ/M ).Our numerical values are found to be in agreement with estimates first made within the Effective One Body formalism, and with predictions of the first law of black-hole-binary mechanics (as applied to the asymptotic circular orbit). Our calculation is based on a time-domain integration of the Lorenz-gauge perturbation equations, and it is a first such calculation for an unbound orbit. We tackle several technical difficulties specific to unbound orbits, illustrating how these may be handled in more general cases of unbound motion. Our method paves the way to calculations of the self-force along hyperbolic-type scattering orbits. Such orbits can probe the two-body potential down to the "light ring", and could thus supply strong-field calibration data for eccentricity-dependent terms in the Effective One Body model of merging binaries.

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Section: Interpretation Ofl As a Mechanical Angular Momentummentioning

confidence: 99%

Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime

et al. 2019

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“…The value of the 2PM, O(G 2 ), term u 2 Q ν2 (H S ) has been computed in Ref. [10], while the value of the 3PM, O(G 3 ), term u 3 Q ν3 (H S ) is still a matter of debate [15,21,22,63]. The additional, tidal-related contribution Q tidal in Eq.…”

Section: Transcription Of the Tidal Actions Within The Eob Formalismmentioning

confidence: 99%

“…The post-Minkowskian (PM) approach to gravitational interaction, which was pioneered some time ago [1][2][3][4][5][6][7][8], has been recently revived [9,10] and has undergone many developments both in classical gravity [11][12][13][14][15], and in the connection between classical gravity and quantum scattering amplitudes . The aim of the present paper is to extend the post-Minkowskian approach to tidal effects in binary systems.…”

Section: Introductionmentioning

confidence: 99%

Scattering of tidally interacting bodies in post-Minkowskian gravity

2020

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The post-Minkowskian approach to gravitationally interacting binary systems (i.e., perturbation theory in G, without assuming small velocities) is extended to the computation of the dynamical effects induced by the tidal deformations of two extended bodies, such as neutron stars. Our derivation applies general properties of perturbed actions to the effective field theory description of tidally interacting bodies. We compute several tidal invariants (notably the integrated quadrupolar and octupolar actions) at the first post-Minkowskian order. The corresponding contributions to the scattering angle are derived.

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“…An exception is 't Hooft's 1987 calculation[10] which is carried out assuming a non-trivial background metric 2. Recently, impressive amplitude calculations have also been carried out for the collision of massive (and typically non-relativistic) particles up the two-loop (3PM) order[45,46] and their outcome was incorporated into the EOB potential[47].…”

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confidence: 99%

A tale of two exponentiations in N=8 supergravity

et al. 2019

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High-energy massless gravitational scattering in N = 8 supergravity was recently analyzed at leading level in the deflection angle, uncovering an interesting connection between exponentiation of infrared divergences in momentum space and the eikonal exponentiation in impact parameter space. Here we extend that analysis to the first non trivial sub-leading level in the deflection angle which, for massless external particles, implies going to two loops, i.e. to third post-Minkowskian (3PM) order. As in the case of the leading eikonal, we see that the factorisation of the momentum space amplitude into the exponential of the one-loop result times a finite remainder hides some basic simplicity of the impact parameter formulation. For the conservative part of the process, the explicit outcome is infrared (IR) finite, shows no logarithmic enhancement, and agrees with an old claim in pure Einstein gravity, while the dissipative part is IR divergent and should be regularized, as usual, by including soft gravitational bremsstrahlung. Finally, using recent threeloop results, we test the expectation that eikonal formulation accounts for the exponentiation of the lower-loop results in the momentum space amplitude. This passes a number of highly non-trivial tests, but appears to fail for the dissipative part of the process at all loop orders and sufficiently subleading order in ǫ, hinting at some lack of commutativity of the relevant infrared limits for each exponentiation.

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Energetics of two-body Hamiltonians in post-Minkowskian gravity

Cited by 176 publications

References 101 publications

Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime

Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime

Scattering of tidally interacting bodies in post-Minkowskian gravity

A tale of two exponentiations in N=8 supergravity

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