High-order PM tidal corrections improve EOB predictions for neutron-star gravitational scattering and lay groundwork for PM-based tidal EOB waveforms.
Effective action and linear response of compact objects in Newtonian gravity
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abstract
We apply an effective field theory method for the gravitational interaction of compact stars, developed within the context of general relativity, to Newtonian gravity. In this effective theory a compact object is represented by a point particle possessing generic gravitational multipole moments. The time evolution of the multipoles depends on excitations due to external fields. This can formally be described by a response function of the multipoles to applied fields. The poles of this response correspond to the normal oscillation modes of the star. This gives rise to resonances between modes and tidal forces in binary systems. The connection to the standard formalism for tidal interactions and resonances in Newtonian gravity is worked out. Our approach can be applied to more complicated situations. In particular, a generalization to general relativity is possible.
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Static fermionic tidal Love numbers are non-vanishing for non-extremal Reissner-Nordström black holes.
For a specific R=0 wormhole, the magnetic Love number for ℓ=2 vanishes to linear order in the regularization parameter under static axial gravitational perturbations.
citing papers explorer
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High-order effective-one-body tidal interactions and gravitational scattering
High-order PM tidal corrections improve EOB predictions for neutron-star gravitational scattering and lay groundwork for PM-based tidal EOB waveforms.
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Fermionic Love number of Reissner-Nordstr\"om black holes
Static fermionic tidal Love numbers are non-vanishing for non-extremal Reissner-Nordström black holes.
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Can wormholes have vanishing Love numbers?
For a specific R=0 wormhole, the magnetic Love number for ℓ=2 vanishes to linear order in the regularization parameter under static axial gravitational perturbations.