Quasi-Keplerian parametrization for compact binaries on hyperbolic orbits in scalar-tensor theories at second post-Newtonian order
arXiv:2504.13829 · doi:10.1103/mfg1-t3l3
Abstract
We obtain the generalized quasi-Keplerian parametrization for compact binaries on quasihyperbolic orbits at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories, extending the analogous results for quasielliptic systems arXiv:2401:06844. In particular, we compute the conservative scattering angle and impact parameter at 2PN. Our results are consistent with the 2PN conservative scatter-to-bound map in these theories between the scattering angle and the periastron advance. We then compute the total energy and angular momentum lost by the system and study the limiting cases of parabolic orbits and bremsstrahlung, including a re-expansion of our results at seventh post-Minkowskian order. Flux-balance arguments then allow us to compute the dissipative contributions to the scattering angle at 1.5PN and 2.5PN, completing the full scattering angle at 2.5PN in these theories. Finally, we obtain, in general relativity, an expression for the 3PN impact parameter in the conservative sector, correcting previous literature.
25 pages, 1 ancillary file (notations largely based on arXiv:2401.06844). v2: minor corrections, matches the published version
References in corpus (45)
- Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
- From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
- Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
- Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope
- Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
- Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
- Compact binary systems in scalar-tensor gravity: Equations of motion to 2.5 post-Newtonian order
- Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses
- Hadamard Regularization
- Gravitational radiation reaction along general orbits in the effective one-body formalism
- Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order
- Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
- Compact binary systems in scalar-tensor gravity. III. Scalar waves and energy flux
- Gravitational waveforms in scalar-tensor gravity at 2PN relative order
- Post-Newtonian Gravitational and Scalar Waves in Scalar-Gauss-Bonnet Gravity
- Gravitational scattering of two black holes at the fourth post-Newtonian approximation
- Gravitational spin-orbit coupling in binary systems at the second post-Minkowskian approximation
- Dynamics of compact binary systems in scalar-tensor theories: I. Equations of motion to the third post-Newtonian order
- Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order
- Gravitational waves in scalar-tensor theory to one-and-a-half post-Newtonian order
- Emergence of Calabi-Yau manifolds in high-precision black hole scattering
- Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits
- Dynamics of compact binary systems in scalar-tensor theories: II. Center-of-mass and conserved quantities to 3PN order
- Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects
- Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform
- Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
- Dipolar tidal effects in scalar-tensor theories
- Scattering Amplitudes in Quantum Field Theory
- Gravitational waves from spinning compact binaries in hyperbolic orbits
- Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order
- Tidal effects up to next-to-next-to leading post-Newtonian order in massless scalar-tensor theories
- Inspiral gravitational waveforms from compact binary systems in Horndeski gravity
- Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
- Gravitational Radiation from hyperbolic encounters in the presence of dark matter
- Pole N-flation
- Quasi-Keplerian parametrization for eccentric compact binaries in scalar-tensor theories at second post-Newtonian order and applications
- Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation
- Tensor-Multi-Scalar Gravity: Equations of Motion to 2.5 post-Newtonian Order
- Precision from the diphoton Zh channel at FCC-hh
- Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order
- Binary systems in massive scalar-tensor theories: Next-to-leading order gravitational wave phase from effective field theory
- Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation
- Compact binary systems in Einstein-Aether gravity: Direct integration of the relaxed field equations to 2.5 post-Newtonian order
- Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
- Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity