Regular Article - Theoretical Physics
Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein–Cartan theory
Department of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria
2 Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Napoli, Italy
3 Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Napoli, Italy
a firstname.lastname@example.org, email@example.com
Accepted: 24 June 2022
Published online: 22 July 2022
The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the context of Einstein–Cartan theory at the first post-Newtonian level by resorting to the Blanchet–Damour formalism. After having worked out the basic principles of the hydrodynamics in Einstein–Cartan framework, we study the Weyssenhoff fluid within the post-Newtonian approximation scheme. The complexity of the underlying dynamical equations suggests to employ a discrete description via the point-particle limit, a procedure which permits the analysis of inspiralling spinning compact binaries. We then provide a first application of our results by considering binary neutron star systems.
© The Author(s) 2022
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