Remodeling the effective one-body formalism in post-Minkowskian gravity

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Standard

Remodeling the effective one-body formalism in post-Minkowskian gravity. / Damgaard, Poul H.; Vanhove, Pierre.

In: Physical Review D, Vol. 104, No. 10, 104029, 12.11.2021.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Damgaard, PH & Vanhove, P 2021, 'Remodeling the effective one-body formalism in post-Minkowskian gravity', Physical Review D, vol. 104, no. 10, 104029. https://doi.org/10.1103/PhysRevD.104.104029

APA

Damgaard, P. H., & Vanhove, P. (2021). Remodeling the effective one-body formalism in post-Minkowskian gravity. Physical Review D, 104(10), [104029]. https://doi.org/10.1103/PhysRevD.104.104029

Vancouver

Damgaard PH, Vanhove P. Remodeling the effective one-body formalism in post-Minkowskian gravity. Physical Review D. 2021 Nov 12;104(10). 104029. https://doi.org/10.1103/PhysRevD.104.104029

Author

Damgaard, Poul H. ; Vanhove, Pierre. / Remodeling the effective one-body formalism in post-Minkowskian gravity. In: Physical Review D. 2021 ; Vol. 104, No. 10.

Bibtex

@article{1beb894b6e664d528e67c08d8ebec2ba,
title = "Remodeling the effective one-body formalism in post-Minkowskian gravity",
abstract = "The effective one-body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective potential, we consider an energy-dependent effective metric describing the scattering in terms of an effective one-body problem for the reduced mass. The identification of the effective metric simplifies considerably in isotropic coordinates when combined with a redefined angular momentum map. While the effective energy-dependent metric as expected is not unique, solutions can be chosen perturbatively in the post-Minkowskian expansion without the need to introduce nonmetric corrections. By a canonical transformation, our condition maps to the one based on the standard angular momentum map. Expanding our metric around the Schwarzschild solution we recover the solution based on additional nonmetric contributions.",
author = "Damgaard, {Poul H.} and Pierre Vanhove",
year = "2021",
month = nov,
day = "12",
doi = "10.1103/PhysRevD.104.104029",
language = "English",
volume = "104",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "10",

}

RIS

TY - JOUR

T1 - Remodeling the effective one-body formalism in post-Minkowskian gravity

AU - Damgaard, Poul H.

AU - Vanhove, Pierre

PY - 2021/11/12

Y1 - 2021/11/12

N2 - The effective one-body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective potential, we consider an energy-dependent effective metric describing the scattering in terms of an effective one-body problem for the reduced mass. The identification of the effective metric simplifies considerably in isotropic coordinates when combined with a redefined angular momentum map. While the effective energy-dependent metric as expected is not unique, solutions can be chosen perturbatively in the post-Minkowskian expansion without the need to introduce nonmetric corrections. By a canonical transformation, our condition maps to the one based on the standard angular momentum map. Expanding our metric around the Schwarzschild solution we recover the solution based on additional nonmetric contributions.

AB - The effective one-body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective potential, we consider an energy-dependent effective metric describing the scattering in terms of an effective one-body problem for the reduced mass. The identification of the effective metric simplifies considerably in isotropic coordinates when combined with a redefined angular momentum map. While the effective energy-dependent metric as expected is not unique, solutions can be chosen perturbatively in the post-Minkowskian expansion without the need to introduce nonmetric corrections. By a canonical transformation, our condition maps to the one based on the standard angular momentum map. Expanding our metric around the Schwarzschild solution we recover the solution based on additional nonmetric contributions.

U2 - 10.1103/PhysRevD.104.104029

DO - 10.1103/PhysRevD.104.104029

M3 - Journal article

VL - 104

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 10

M1 - 104029

ER -

ID: 285726435