Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.
The Hyperfine Einstein-Infeld-Hoffmann Potential
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We use recently developed effective field theory techniques to calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects. This correction represents the first contribution to the spin-spin interaction due to the non-linear nature of general relativity and will play an important role in forthcoming gravity wave experiments.
citation-role summary
background 3
method 1
citation-polarity summary
fields
gr-qc 4years
2026 4representative citing papers
The NLO gravitational spin-orbit Hamiltonian for N spinning bodies is computed via PN-EFT, with only three-body diagrams new beyond the binary case, and the result matches the known ADM Hamiltonian up to canonical transformation.
Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
citing papers explorer
-
Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$
Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.
-
N-body next-to-leading order gravitational spin-orbit interaction via effective field theory
The NLO gravitational spin-orbit Hamiltonian for N spinning bodies is computed via PN-EFT, with only three-body diagrams new beyond the binary case, and the result matches the known ADM Hamiltonian up to canonical transformation.
-
Black Hole Dynamics at Fifth Post-Newtonian Order
Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.
-
Love numbers of black holes and compact objects
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.