Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein–Cartan theory

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 basi...

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Published inThe European physical journal. C, Particles and fields Vol. 82; no. 7; pp. 628 - 24
Main Authors Battista, Emmanuele, De Falco, Vittorio
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2022
Springer
Springer Nature B.V
SpringerOpen
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Summary: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.
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ISSN:1434-6044
1434-6052
1434-6052
DOI:10.1140/epjc/s10052-022-10558-9