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… 

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References

SHOWING 1-10 OF 12 REFERENCES

High-order tail in Schwarzschild spacetime

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

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

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

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

I and J

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