DOAJ Open Access 2023

Gravitoelectric dynamical tides at second post-Newtonian order

Manoj K. Mandal Pierpaolo Mastrolia Hector O. Silva Raj Patil Jan Steinhoff

Abstrak

Abstract We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory approach, and involves Feynman integrals up to two loops, evaluated with the dimensional regularization scheme. We also derive the effective Hamiltonian for adiabatic tides, obtained by taking the appropriate limit of the dynamical effective Hamiltonian, and we check its validity by verifying the complete Poincaré algebra. In the adiabatic limit, we also calculate two gauge-invariant observables, namely, the binding energy for a circular orbit and the scattering angle in a hyperbolic scattering. Our results are important for developing accurate gravitational waveform models for neutron-star binaries for present and future gravitational-wave observatories.

Penulis (5)

M

Manoj K. Mandal

P

Pierpaolo Mastrolia

H

Hector O. Silva

R

Raj Patil

J

Jan Steinhoff

Format Sitasi

Mandal, M.K., Mastrolia, P., Silva, H.O., Patil, R., Steinhoff, J. (2023). Gravitoelectric dynamical tides at second post-Newtonian order. https://doi.org/10.1007/JHEP11(2023)067

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Informasi Jurnal
Tahun Terbit
2023
Sumber Database
DOAJ
DOI
10.1007/JHEP11(2023)067
Akses
Open Access ✓