# 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 Adrian C 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…

## 59 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…

### New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole

- Physics
- 2016

We raise the analytical knowledge of the eccentricity-expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the…

### 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.

### Experimental mathematics meets gravitational self-force

- Physics
- 2015

It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various…

### 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 12 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…

### Equations of Motion in Relativistic Gravity

- Physics
- 2015

Preface.- The New Mechanics of Myron Mathisson and its subsequent development.- Multipolar test body equations of motion in generalized gravity theories.- Energy-Momentum Tensors and Motion in…

### Mass And Motion In General Relativity

- Education, Physics
- 2016

Thank you very much for downloading mass and motion in general relativity. Maybe you have knowledge that, people have search hundreds times for their chosen readings like this mass and motion in…

### Gravitation ( Freeman , San Francisco , 1973 ) . [ 21 ] F . Zerilli

- Phys . Rev . D Phys . Rev . D

### Phys

- Rev. D90, 024043
- 2014

### Phys

- Rev. D67, 024025
- 2003

### Electronic archive of post-newtonian coefficients

### Phys

- Rev. D 90, 044025
- 2014