# Analytical high-order post-Newtonian expansions for extreme mass ratio binaries

@article{Kavanagh2015AnalyticalHP, title={Analytical high-order post-Newtonian expansions for extreme mass ratio binaries}, author={Chris Kavanagh and A. Ottewill and Barry Wardell}, journal={Physical Review D}, year={2015}, volume={92}, pages={084025} }

We present analytic computations of gauge invariant quantities for a point mass in a circular orbit around a Schwarzschild black hole, giving results up to 15.5 post-Newtonian order in this paper and up to 21.5 post-Newtonian order in an online repository. Our calculation is based on the functional series method of Mano, Suzuki and Takasugi (MST) and a recent series of results by Bini and Damour. We develop an optimised method for generating post-Newtonian expansions of the MST series, enabling…

## 58 Citations

Analytical high-order post-Newtonian expansions for spinning extreme mass ratio binaries

- Physics
- 2016

We present an analytic computation of Detweiler's redshift invariant for a point mass in a circular orbit around a Kerr black hole, giving results up to 8.5 post-Newtonian order while making no…

Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit nonspinning extreme-mass-ratio inspirals to the 19th order

- Physics
- 2020

We develop new high-order results for the post-Newtonian (PN) expansions of the energy and angular momentum fluxes at infinity for eccentric-orbit extreme-mass-ratio inspirals (EMRIs) on a…

High-order comparisons between post-Newtonian and perturbative self forces

- Physics
- 2015

Recent numerical and analytic computations based on the self-force (SF) formalism in general relativity showed that half-integral post-Newtonian (PN) terms, i.e. terms involving odd powers of 1/c,…

Tidal Effects in the Post-Minkowskian Expansion.

- PhysicsPhysical review letters
- 2020

The leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles are computed.

High post-Newtonian order gravitational self-force analytical results for eccentric equatorial orbits around a Kerr black hole

- Physics
- 2016

We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give…

Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order

- Physics
- 2015

Using black hole perturbation theory and arbitrary-precision computer algebra, we obtain the post-Newtonian (pN) expansions of the linear-in-mass-ratio corrections to the spin-precession angle and…

Determination of new coefficients in the angular momentum and energy fluxes at infinity to 9PN order for eccentric Schwarzschild extreme-mass-ratio inspirals using mode-by-mode fitting

- Physics
- 2020

We present an extension of work in an earlier paper showing high precision comparisons between black hole perturbation theory and post-Newtonian (PN) theory in their region of overlapping validity…

Confirming and improving post-Newtonian and effective-one-body results from self-force computations along eccentric orbits around a Schwarzschild black hole

- Physics
- 2016

We analytically compute, through the six-and-a-half post-Newtonian order, the second-order-in-eccentricity piece of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in…

Note on accuracy of the post-Newtonian approximation for extreme-mass ratio inspirals: retrograde orbits

- Physics, Geology
- 2017

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of…

Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription

- Physics, Geology
- 2017

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent…

## References

SHOWING 1-10 OF 14 REFERENCES

High-order tail in Schwarzschild spacetime

- Physics
- 2015

We present an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field…

Octupolar invariants for compact binaries on quasicircular orbits

- Physics
- 2015

We extend the gravitational self-force methodology to identify and compute new $O(\mu)$ tidal invariants for a compact body of mass $\mu$ on a quasi-circular orbit about a black hole of mass $M \gg…

“A and B”:

- PhysicsSophonisba Breckinridge
- 2019

Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.

and E

- Takasugi, Prog.Theor.Phys. 96, 549
- 1996

and T

- Damour,
- 2014

and N

- Sago, Phys.Rev. D82, 084036
- 2010

Electronic archive of post-newtonian coefficients

High - order tail in schwarzschild space - time , ” ( 2015 ) , in preparation . [ 24 ] S . L . Detweiler

- Phys . Rev . D Living Rev . Rel .