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Gravitational wave polarizations in nonminimally coupled gravity

Title
Gravitational wave polarizations in nonminimally coupled gravity
Type
Article in International Scientific Journal
Year
2025
Authors
Varela, MB
(Author)
Other
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Bertolami, O
(Author)
FCUP
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Journal
Vol. 111
ISSN: 0556-2821
Other information
Authenticus ID: P-017-SF9
Abstract (EN): The properties of metric perturbations are determined in the context of an expanding Universe governed by a modified theory of gravity with a nonminimal coupling between curvature and matter. We analyze the dynamics of the 6 components of a general helicity decomposition of the metric and stress-energy perturbations, consisting of scalar, vector and tensor sectors. The tensor polarizations are shown to still propagate luminally, in agreement with recent data from gravitational interferometry experiments, while their magnitude decays with an additional factor sourced by the nonminimal coupling. We show that the production of these modes is associated with a modified quadrupole formula at leading order. The vector perturbations still exhibit no radiative behavior, although their temporal evolution is found to be modified, with spatial dependence remaining unaffected. We establish that the scalar perturbations can no longer be treated as identical. We investigate the scalar sector by writing the modified model as an equivalent two- field scalar-tensor theory and find the same scalar degrees of freedom as in previous literature. The different sectors are paired with the corresponding polarization modes, which can be observationally measured by their effects on the relative motion of test particles, thus providing the possibility of testing the modified theory and constraining its parameters.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 23
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