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Scalar induced gravitational waves in chiral scalar-tensor theory of gravity

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arxiv 2404.05289 v2 pith:I5UUBOVA submitted 2024-04-08 gr-qc

Scalar induced gravitational waves in chiral scalar-tensor theory of gravity

classification gr-qc
keywords sigwsscalar-tensorchiralgravityscalarcalculategravitationalinduced
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the scalar induced gravitational waves (SIGWs) from a chiral scalar-tensor theory of gravity. The parity-violating (PV) Lagrangian contains the Chern-Simons (CS) term and PV scalar-tensor terms, which are built of the quadratic Riemann tensor term and first-order derivatives of a scalar field. We consider SIGWs in two cases, in which the semi-analytic expression to calculate SIGWs can be obtained. Then, we calculate the fractional energy density of SIGWs with a monochromatic power spectrum for the curvature perturbation. We find that the SIGWs in chiral scalar-tensor gravity behave differently from those in GR before and after the peak frequency, which results in a large degree of circular polarization.

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    At total derivative order five, parity-violating spatially covariant gravity has exactly 59 independent monomials, and their tensor-perturbation response is controlled by four coefficient combinations producing helici...