2007

The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form

Steinhoff, Jan, Hergt, Steven, Schäfer, Gerhard

Understand

Based on recent developments by the authors a next-to-leading order spin(1)-spin(2) Hamiltonian is derived for the first time.

The result is obtained within the canonical formalism of Arnowitt, Deser, and Misner (ADM) utilizing their generalized isotropic coordinates.
A comparison with other methods is given.

R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research
1962
Earlier work this paper cites.
T. Regge and C. Teitelboim, Ann. Phys. (N.Y.) 88
1974
Earlier work this paper cites.
K. Yee and M. Bander, Phys. Rev. D 48
1993
Earlier work this paper cites.

P. Jaranowski and G. Schäfer, Phys. Rev. D 55
1998
Cited alongside, same era.
T. Damour, P. Jaranowski, and G. Schäfer, Phys. Rev. D 62
2001
Cited alongside, same era.
R. A. Porto and I. Z. Rothstein, Phys. Rev. Lett. 97
2006
Cited alongside, same era.
J. Steinhoff, G. Schäfer, and S. Hergt, The ADM canonical formalism for gravitating spinning objects
Cited in the paper.
R. A. Porto and I. Z. Rothstein, Comment on ‘On the next-to-leading order gravitational spin(1)-spin(2) dynamics’ by J. Steinhoff et al
Original
Cited in the paper.
J. Steinhoff, S. Hergt, and G. Schäfer, On the next-to-leading order gravitational spin(1)-spin(2) dynamics
Original
Cited in the paper.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…