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Analytical results for binary dynamics at the first post-Newtonian order in Einstein-Cartan theory with the Weyssenhoff fluid | | Vittorio De Falco
; Emmanuele Battista
; | | Date: |
1 Sep 2023 | | Abstract: | The quantum spin effects inside matter can be modeled via the Weyssenhoff
fluid, which permits to unearth a formal analogy between general relativity and
Einstein-Cartan theory at the first post-Newtonian order. In this framework, we
provide some analytical formulas pertaining to the dynamics of binary systems
having the spins aligned perpendicular to the orbital plane. We derive the
expressions of the relative orbit and the coordinate time, which in turn allow
to determine the gravitational waveform, and the energy and angular momentum
fluxes. The potentialities of our results are presented in two astrophysical
applications, where we compute: ($i$) the quantum spin contributions to the
energy flux and gravitational waveform during the inspiral phase; ($ii$) the
macroscopic angular momentum of one of the bodies starting from the
time-averaged energy flux and the knowledge of few timing parameters. | | Source: | arXiv, 2309.00319 | | Services: | Forum | Review | PDF | Favorites | |
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