Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term

Abstract

We investigate the scalar induced gravitational waves (SIGWs) in metric teleparallel gravity with the Nieh-Yan (NY) term, which results in parity violation during the radiation-dominated era. By solving the equations of motion of linear scalar perturbations from both the metric and the tetrad fields, we obtain the corresponding analytic expressions. Then, we calculate the SIGWs in metric teleparallel gravity with the NY term and evaluate the energy density of SIGWs with a monochromatic power spectrum numerically. We find that the spectrum of the energy density of SIGWs in metric teleparallel gravity with the NY term is significantly different from that in general relativity (GR), which makes metric teleparallel gravity distinguishable from GR.

19 pages,1 figure, v2, match the PRD version

References in corpus (76)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Quantum Gravity at a Lifshitz Point
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Gravitational-wave sensitivity curves
• The cosmological gravitational wave background from primordial density perturbations
• Teleparallel Gravity: From Theory to Cosmology
• The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars
• Strong coupling in Horava gravity
• Concepts and status of Chinese space gravitational wave detection projects
• The second data release from the European Pulsar Timing Array I. The dataset and timing analysis
• On the Extra Mode and Inconsistency of Horava Gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• New Extraction of the Cosmic Birefringence from the Planck 2018 Polarization Data
• Stochastic gravitational waves associated with the formation of primordial black holes
• Degrees of freedom of $f(T)$ gravity
• The Parkes Pulsar Timing Array Third Data Release
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Probing polarization states of primordial gravitational waves with CMB anisotropies
• Improved Constraints on Cosmic Birefringence from the WMAP and Planck Cosmic Microwave Background Polarization Data
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• 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
• Limits on scalar-induced gravitational waves from the stochastic background by pulsar timing array observations
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Probing Primordial Features with the Stochastic Gravitational Wave Background
• Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
• Scalar induced gravitational waves in light of Pulsar Timing Array data
• No-go Theorem for Scalar-Trispectrum-Induced Gravitational Waves
• Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity
• Constraints on primordial curvature power spectrum with pulsar timing arrays
• Confronting sound speed resonance with pulsar timing arrays
• Parity violation in the scalar trispectrum: no-go theorems and yes-go examples
• No constraints for $f(T)$ gravity from gravitational waves induced from primordial black hole fluctuations
• Inflation in Metric-Affine Quadratic Gravity
• Polarized primordial gravitational waves in the ghost-free parity-violating gravity
• Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term
• 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
• Parity-Odd and Even Trispectrum from Axion Inflation
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• Simultaneously probing the sound speed and equation of state of the early Universe with pulsar timing arrays
• Model-independent reconstruction of the primordial curvature power spectrum from PTA data
• A simple parity violating model in the symmetric teleparallel gravity and its cosmological perturbations
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Probing the speed of scalar-induced gravitational waves with pulsar timing arrays
• Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein-Cartan theory
• Inflating and Reheating the Universe with an Independent Affine Connection
• Electroweak vacuum decay in metric-affine gravity
• The Full Quadratic Metric-Affine Gravity (Including Parity Odd Terms): Exact solutions for the Affine-Connection
• Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
• Ghost instability in the teleparallel gravity model with parity violations
• Post-Newtonian parameters of ghost-free parity-violating gravities
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• Circularly polarized scalar induced gravitational waves from the Chern-Simons modified gravity
• Gravitational wave birefringence in spatially curved teleparallel cosmology
• Parity-violation in bouncing cosmology
• Scalar-Induced Gravitational Waves from Ghost Inflation and Parity Violation
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• Scalar induced gravitational waves from Chern-Simons gravity during inflation era
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions
• Polarized gravitational waves in the parity violating scalar-nonmetricity theory
• Irregular universe in the Nieh-Yan modified teleparallel gravity
• Scalar induced gravitational waves in symmetric teleparallel gravity with a parity-violating term
• Spatially covariant gravity with nonmetricity
• Primordial black holes and scalar-induced gravitational waves from the polynomial attractor model

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