Built on

E. E. Flanagan and T. Hinderer, Phys. Rev. D77
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2018

Post-Newtonian spin-tidal couplings for compact binaries

Abdelsalhin, Tiziano, Gualtieri, Leonardo, Pani, Paolo

Understand

We compute the spin-tidal couplings that affect the dynamics of two orbiting bodies at the leading order in the post-Newtonian (PN) framework and to linear order in the spin.

These corrections belong to two classes: (i) terms arising from the coupling between the ordinary tidal terms and the point-particle terms, which depend on the standard tidal Love numbers of order $l$ and affect the gravitational-wave (GW) phase at $(2l+5/2)$PN order and (ii) terms depending on the rotational tidal Love numbers, recently introduced in previous work, that affect the GW phase at $(2l+1/2+\delta_{2l})$PN order.
For circular orbits and spins orthogonal to the orbital plane, all leading-order spin-tidal terms enter the GW phase at $1.5$PN order relative to the standard, quadrupolar, tidal deformability term (and, thus, before the standard octupolar tidal deformability terms).
We present the GW phase that includes all tidal terms up to $6.5$PN order and to linear order in the spin.

Built on

E. E. Flanagan and T. Hinderer, Phys. Rev. D77
Original
1915
Earlier work this paper cites.
R. P. Geroch, J. Math. Phys. 11
1970
Earlier work this paper cites.
R. O. Hansen, J. Math. Phys. 15
1974
Earlier work this paper cites.
K. S. Thorne, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, Oxford, UK, 1983)
1983
Earlier work this paper cites.
T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 43
1991
Earlier work this paper cites.
E. Poisson, Phys. Rev. D57
1998
Earlier work this paper cites.
E. E. Flanagan, Phys. Rev. D58
1998
Earlier work this paper cites.
A. Buonanno and T. Damour, Phys. Rev. D59
1999
Earlier work this paper cites.
B. Mikoczi, M. Vasuth, and L. A. Gergely, Phys. Rev. D71
2005
Earlier work this paper cites.
T. Mora and C. M. Will, Phys. Rev. D69
2005
Earlier work this paper cites.
L. Blanchet, Living Rev. Rel. 9
2006
Earlier work this paper cites.
M. Maggiore, Gravitational Waves Volume 1: Theory and Experiments (Oxford University Press, Oxford, UK, 2008)
2008
Earlier work this paper cites.
A. Buonanno, B. Iyer, E. Ochsner, Y. Pan, and B. S. Sathyaprakash, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
T. Hinderer, Astrophys. J. 677
Original
2009
Earlier work this paper cites.
T. Binnington and E. Poisson, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
T. Damour and A. Nagar, Phys. Rev. D80
Original
2009
Earlier work this paper cites.
T. Damour and O. M. Lecian, Phys.Rev. D80
Original
2009
Earlier work this paper cites.
K. G. Arun, A. Buonanno, G. Faye, and E. Ochsner, Phys. Rev. D79
Original
2011
Earlier work this paper cites.