A simple parity violating gravity model without ghost instability

Abstract

In this paper we consider a parity violating gravity model without higher derivatives, thus ghost free. This model is constructed from the tetrad and its derivatives and coupled to a dynamical scalar field, like axion. It can be reduced from the Nieh-Yan term within the framework of teleparallel gravity. We apply this model to cosmology and investigate its consequences on cosmological perturbation theory. We find that the coupled dynamical scalar field lost its independent dynamics at the linear order and the parity violating term itself behaves like a viscosity. For gravitational waves, this model produces velocity difference between left- and right-handed polarizations, but generates no amplitude discrepancy.

arXiv commentThe version matches the one to appear in JCAP

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• Teleparallel axions and cosmology
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• Parity-violation in bouncing cosmology
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• Positivity Bounds on parity-violating scalar-tensor EFTs
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
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• Spatially covariant gravity with nonmetricity
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• Black hole scalarizations induced by parity violations
• Detectability of the chiral gravitational wave background from audible axions with the LISA-Taiji network
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• A Match Made in Heaven: Linking Observables in Inflationary Cosmology
• Gravitational leptogenesis in teleparallel and symmetric teleparallel gravities
• Issue of Branched Hamiltonian, Inflation and indispensability of scalar field in generalized Teleparallel theories
• Self-Excited Gravitational Instantons
• Dynamics and gravitational radiation of binaries with spin precession and eccentricity in dynamical Chern-Simons gravity
• Degrees of freedom of a quadratic scalar-nonmetricity theory
• Generalized Chern-Pontryagin models
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• Revisiting a parity violating gravity model without ghost instability: Local Lorentz covariance
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz