Classical potential for general spinning bodies
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Publication:1995103
DOI10.1007/JHEP09(2020)074zbMATH Open1454.83010arXiv1908.08463MaRDI QIDQ1995103
Author name not available (Why is that?)
Publication date: 18 February 2021
Published in: (Search for Journal in Brave)
Abstract: In this paper we compute the spin-dependent terms of the gravitational potential for general spinning bodies at the leading Newton's constant and to all orders in spin. We utilize the on-shell approach, which extracts the classical potential directly from the scattering amplitude. For spinning particles, extra care is required due to the fact that the spin space of each particle is independent. Once the appropriate matching procedures are applied, taking the classical-spin limit we obtain the potential for general spinning bodies. When the Wilson coefficients are set to unity, we successfully reproduced the potential for the Kerr black hole. Interestingly, for finite spins, we find that the finite-spin deviations from Kerr Wilson coefficients cancel with that in the matching procedure, reproducing the Kerr potential without the need for taking the classical-spin limit. Finally, we find that when cast into the chiral basis, the spin-dependence of minimal coupling exhibits factorization, allowing us to take the classical-spin limit straight forwardly.
Full work available at URL: https://arxiv.org/abs/1908.08463
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