Gravity in binary systems at the fifth and sixth post-Newtonian order

@article{Blumlein2022GravityIB,
  title={Gravity in binary systems at the fifth and sixth post-Newtonian order},
  author={Johannes Blumlein and Andreas Maier and Peter Marquard and Gerhard Schāfer},
  journal={Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)},
  year={2022}
}
Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a non-relativistic effective field theory. We give predictions for central observables and determine the required coefficients for the construction of an Effective One-Body Hamiltonian, extending the applicability of our results to the late inspiral and merger phases. 

Figures from this paper

References

SHOWING 1-10 OF 30 REFERENCES

Testing binary dynamics in gravity at the sixth post-Newtonian level

Static Two-Body Potential at Fifth Post-Newtonian Order.

The gravitational interaction between two compact bodies up to the sixth power in Newton's constant, G_{N}, in the static limit is determined.

Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-Eccentricity Expansion.

We compute the conservative dynamics of nonspinning binaries at fourth post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is

Tail contributions to gravitational conservative dynamics

We compute tail contributions to the conservative dynamics of a generic selfgravitating system, for every multipole order, of either electric and magnetic parity. Such contributions arise when

Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order.

Adapting methods for integration and matching from effective field theory, the conservative Hamiltonian is extracted for compact spinless binaries at third post-Minkowskian order and is in complete agreement with corresponding terms in state-of-the-art expressions at fourth post-Newtonian order.

The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order

The mass-type quadrupole moment of inspiralling compact binaries (without spins) is computed at the fourth post-Newtonian (4PN) approximation of general relativity. The multipole moments are defined

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

Using the new methodology introduced in a recent Letter [Phys.\ Rev.\ Lett.\ {\bf 123}, 231104 (2019)], we present the details of the computation of the conservative dynamics of gravitationally

Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently