Polarized gravitational waves in the parity violating scalar-nonmetricity theory

Abstract

There has been increasing interest in investigating the possible parity violating features in the gravity theory and on the cosmological scales. In this work, we consider a class of scalar-nonmetricity theory, of which the Lagrangian is polynomial built of the nonmetricity tensor and a scalar field. The nonmetricity tensor is coupled with the scalar field through its first order derivative. Besides the monomials that are quadratic order in the nonmetricity tensor, we also construct monomials that are cubic order in the nonmetricity tensor in both the parity preserving and violating cases. These monomials act as the non-canonical (i.e., non-quadratic) kinetic terms for the spacetime metric, and will change the behavior in the propagation of the gravitational waves. We find that the gravitational waves are generally polarized, which present both the amplitude and velocity birefringence features due to the parity violation of the theory. Due to the term proportional to $1/k$ in the phase velocities, one of the two polarization modes suffers from the gradient instability on large scales.

12 pages, no figure

References in corpus (52)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Quantum Gravity at a Lifshitz Point
• Laser Interferometer Space Antenna
• The Effective Field Theory of Inflation
• Scientific Objectives of Einstein Telescope
• Teleparallel Gravity: From Theory to Cosmology
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Anisotropic stress as signature of non-standard propagation of gravitational waves
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Unifying framework for scalar-tensor theories of gravity
• Probing polarization states of primordial gravitational waves with CMB anisotropies
• New classes of modified teleparallel gravity models
• Hamiltonian analysis of spatially covariant gravity
• Testing gravitational parity violation with coincident gravitational waves and short gamma-ray bursts
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• Standard sirens with a running Planck mass
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• A designer approach to $f(Q)$ gravity and cosmological implications
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
• Polarized primordial gravitational waves in the ghost-free parity-violating gravity
• Tests of Gravitational-Wave Birefringence with the Open Gravitational-Wave Catalog
• 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
• A simple parity violating model in the symmetric teleparallel gravity and its cosmological perturbations
• Chirality of Gravitational Waves in Chern-Simons $f(R)$ Gravity Cosmology
• Search for the birefringence of gravitational waves with the third observing run of Advanced LIGO-Virgo
• 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
• Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology
• The Full Quadratic Metric-Affine Gravity (Including Parity Odd Terms): Exact solutions for the Affine-Connection
• Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition
• Polarized primordial gravitational waves in spatial covariant gravities
• Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
• Higher derivative scalar-tensor theory and spatially covariant gravity: the correspondence
• Ghost instability in the teleparallel gravity model with parity violations
• Post-Newtonian parameters of ghost-free parity-violating gravities
• Circularly polarized scalar induced gravitational waves from the Chern-Simons modified gravity
• Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
• Gravitational wave birefringence in spatially curved teleparallel cosmology
• Generation of gravitational waves in dynamical Chern-Simons gravity
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• ADM formulation and Hamiltonian analysis of Coincident General Relativity
• Chiral primordial gravitational waves in extended theories of Scalar-Tensor gravity
• Inflation with exotic kinetic terms in Einstein-Chern-Simons gravity
• Scalar quadratic maximum likelihood estimators for the CMB cross power spectrum
• From GR to STG -- Inheritance and development of Einstein's heritages

Cited by in corpus (8)

• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term
• Scalar induced gravitational waves in symmetric teleparallel gravity with a parity-violating term
• Black hole scalarizations induced by parity violations
• Modified gravitational wave propagations in linearized gravity with Lorentz and diffeomorphism violations and their gravitational wave constraints
• Degrees of freedom of a quadratic scalar-nonmetricity theory
• Circularly polarized gravitational waves from parity-violating scalar-tensor theory
• Constraining Lorentz and parity violations in gravity with multiband gravitational wave observations