TITLE: Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
AUTHORS: Steven Hergt, Jan Steinhoff and Gerhard Schaefer
It gives me great pleasure to notify you of the publication of the above article in Classical and Quantum Gravity.
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Please find a summary of the developments made in this article below:
Fully reduced Hamiltonians belong to the most compact and elegant dynamical devices in physics. This particularly applies to spinning compact binaries in general relativity where approximate Hamiltonians are now available including spin-orbit, spin(1)spin(2), and spin-squared terms, all through next-to-leading order (NLO) in relativistic coupling counted in powers of the inverse of speed-of-light squared, called post-Newtonian expansion. The most complicated terms are the spin-squared ones which include information about the rotational deformation of black holes and, depending on a specific model, of neutron stars. For both a fully reduced NLO spin-squared Hamiltonian is derived and compared with former results from the Effective Field Theory approach where a nonreduced effective potential was obtained which is cast into Hamilton form under variable transformation applicable to all NLO spin terms. The result should have impact on the description of inspiralling binaries in gravitational wave astronomy.
Classical and Quantum Gravity