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.

The version matches the one to appear in JCAP

References in corpus (5)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dark torsion as the cosmic speed-up
• Conformal transformation in $f(T)$ theories
• Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
• Axions in gravity with torsion

Cited by in corpus (48)

• Teleparallel Gravity: From Theory to Cosmology
• General covariant symmetric teleparallel cosmology
• Vacuum solution within a metric-affine bumblebee gravity
• Large Spin-2 Signals at the Cosmological Collider
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
• Gravitational wave constraints on Lorentz and parity violations in gravity: high-order spatial derivative cases
• Constraints on the Nieh-Yan modified teleparallel gravity with gravitational waves
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Spontaneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity
• Testing parity symmetry of gravity with gravitational waves
• Landau damping for gravitational waves in parity-violating theories
• Possible consistent model of parity violations in the symmetric teleparallel gravity
• Teleparallel axions and cosmology
• Polarized primordial gravitational waves in spatial covariant gravities
• Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition
• Post-Newtonian parameters of ghost-free parity-violating gravities
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• Circularly polarized scalar induced gravitational waves from the Chern-Simons modified gravity
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
• Parity-violation in bouncing cosmology
• Scalar induced gravitational waves from Chern-Simons gravity during inflation era
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term
• Positivity Bounds on parity-violating scalar-tensor EFTs
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Scalar induced gravitational waves in symmetric teleparallel gravity with a parity-violating term
• Spatially covariant gravity with nonmetricity
• Parity violation in primordial tensor non-Gaussianities from matter bounce cosmology
• Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
• Black hole scalarizations induced by parity violations
• Detectability of the chiral gravitational wave background from audible axions with the LISA-Taiji network
• Constraints on the ghost-free parity-violating gravity from Laser-ranged Satellites
• Parity-violating primordial gravitational waves from null energy condition violation
• 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
• Testing the cosmological principle on gigaparsec scales
• Circularly polarized gravitational waves from parity-violating scalar-tensor theory
• Beyond general relativity: gravitational waves in non-minimally coupled theories
• Revisiting a parity violating gravity model without ghost instability: Local Lorentz covariance
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz