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D. Bini, T. Damour and A. Geralico, Phys. Rev. D 101
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2020

Tidal Effects in the Post-Minkowskian Expansion

Cheung, Clifford, Solon, Mikhail P.

Understand

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion.

In the present work we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of non-spinning neutron star mergers.
We compute 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.
Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background.

Built on

Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
J. B. Gilmore and A. Ross, Phys. Rev. D 78
Original
1902
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, JHEP 1910
Original
1908
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, Nucl. Phys. B 269
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, JHEP 2001
Original
1911
Earlier work this paper cites.
V. Vaidya, Phys. Rev. D 91
Original
1912
Earlier work this paper cites.
Q. Henry, G. Faye and L. Blanchet, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
T. Damour, [arXiv:1912.02139 [gr-qc]]
Original
1912
Earlier work this paper cites.
E. E. Flanagan and T. Hinderer, Phys. Rev. D 77
Original
1915
Earlier work this paper cites.
B. Bertotti, Nuovo Cimento 4
1981
Earlier work this paper cites.
N. Wex and G. Schäfer, “Innermost stable orbits for coalescing binary systems of compact objects-a remark” Class. Quantum Grav. 10
1993
Earlier work this paper cites.
Y. Mino, M. Sasaki and T. Tanaka, Phys. Rev. D 55
1997
Earlier work this paper cites.
A. Buonanno and T. Damour, Phys. Rev. D 59
2000
Earlier work this paper cites.
J. Droste. Proc. Acad. Sc i. Amst. 19:447–455 (1916); A. Einstein, L. Infeld and B. Hoffmann, Annals Math. 39
2000
Earlier work this paper cites.
B. P. Abbott et al
Original
2001
Earlier work this paper cites.

Similar

D. Bini, T. Damour and A. Geralico, Phys. Rev. D 101
Original
2001
Cited alongside, same era.
R. Mertig, M. Bohm and A. Denner, Comput. Phys. Commun. 64
Original
2001
Cited alongside, same era.
J. M. Henn and B. Mistlberger, JHEP 1905
Original
2002
Cited alongside, same era.
Lovelock, D. (1970). Dimensionally dependent identities. Mathematical Proceedings of the Cambridge Philosophical Society, 68(2), 345-350. doi:10.1017/S0305004100046144; S. B. Edgar and A. Hoglund, J. Math. Phys. 43
2002
Cited alongside, same era.
Y. Iwasaki, Prog. Theor. Phys. 46
2003
Cited alongside, same era.