Circularly polarized scalar induced gravitational waves from the Chern-Simons modified gravity

Abstract

We investigate the scalar induced gravitational waves (SIGWs) in the Chern-Simons (CS) modified gravity during the radiation dominated era. The SIGWs are circularly polarized, which provide us a tool to test the possible parity violation in the early universe. We derive the semianalytic expressions to evaluate the fractional energy density of the SIGWs, ${\Omega }_{\mathrm{GW}}$, which receives contributions from the general relativity (GR) and the correction due to the parity-violating term, respectively. We find that the degree of the circular polarization of the SIGWs can be as large as of order unity, although the contribution to ${\Omega }_{\mathrm{GW}}$ from the CS term is at most of the same order as that from the GR.

arXiv comment26 pages, 3 figures, references added, minor corrections

References in corpus (108)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Quantum Gravity at a Lifshitz Point
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Planck 2018 results. X. Constraints on inflation
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• TianQin: a space-borne gravitational wave detector
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Laser Interferometer Space Antenna
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Chern-Simons Modification of General Relativity
• Gravitational-wave sensitivity curves
• Chern-Simons Modified General Relativity
• The cosmological gravitational wave background from primordial density perturbations
• The international pulsar timing array project: using pulsars as a gravitational wave detector
• Cosmological Signature of New Parity-Violating Interactions
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Primordial Black Holes
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• The North American Nanohertz Observatory for Gravitational Waves
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Gravitational wave background as a probe of the primordial black hole abundance
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Did NANOGrav see a signal from primordial black hole formation?
• Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
• Stochastic gravitational waves associated with the formation of primordial black holes
• Gravitational waves induced by scalar perturbations as probes of the small-scale primordial spectrum
• The Parkes Pulsar Timing Array
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Constraints on the Primordial Black Hole Abundance from the First Advanced LIGO Observation Run Using the Stochastic Gravitational-Wave Background
• Solar-Mass Primordial Black Holes Explain NANOGrav Hint of Gravitational Waves
• Fundamental physics implications on higher-curvature theories from the binary black hole signals in the LIGO-Virgo Catalog GWTC-1
• Birefringent Gravitational Waves and the Consistency Check of Inflation
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• Induced gravitational waves in a general cosmological background
• Induced gravitational waves as a probe of thermal history of the universe
• Testing Parity-Violating Mechanisms with Cosmic Microwave Background Experiments
• Non-Gaussianity and the induced gravitational wave background
• Oscillations in the stochastic gravitational wave background from sharp features and particle production during inflation
• Probing polarization states of primordial gravitational waves with CMB anisotropies
• Primordial black holes and secondary gravitational waves from k/G inflation
• Beyond Lovelock gravity: Higher derivative metric theories
• Gauge Independence of Induced Gravitational Waves
• Scalar Induced Gravitational Waves in Different Gauges
• 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
• Probing the Universe through the Stochastic Gravitational Wave Background
• Waveform of gravitational waves in the general parity-violating gravities
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• xPand: An algorithm for perturbing homogeneous cosmologies
• On the Gauge Invariance of Cosmological Gravitational Waves
• Vacuum Instability in Chern-Simons Gravity
• Inflationary theory and pulsar timing investigations of primordial black holes and gravitational waves
• Parity-violating gravity and GW170817
• Effects of parity violation on non-gaussianity of primordial gravitational waves in Hořava-Lifshitz gravity
• Constraints on the primordial curvature power spectrum from primordial black holes
• Higgs inflation with the Holst and the Nieh-Yan term
• Polarizing primordial gravitational waves by parity violation
• Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
• On the gauge dependence of gravitational waves generated at second order from scalar perturbations
• Approximate gauge independence of the induced gravitational wave spectrum
• Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves
• Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra
• Parity-Violating Gravity and GW170817 in Non-Riemannian Cosmology
• A simple parity violating gravity model without ghost instability
• Propagation of the gravitational waves in a cosmological background
• Gauss-Bonnet Chern-Simons gravitational wave leptogenesis
• Polarized primordial gravitational waves in the ghost-free parity-violating gravity
• Waveform of gravitational waves in the ghost-free parity-violating gravities
• Tests of Gravitational-Wave Birefringence with the Open Gravitational-Wave Catalog
• 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
• Gravitational-Wave Implications for the Parity Symmetry of Gravity at GeV Scale
• Constraints on the Nieh-Yan modified teleparallel gravity with gravitational waves
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• Breaking discrete symmetries in the effective field theory of inflation
• 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
• Quantum gravity with torsion and non-metricity
• Chirality of Gravitational Waves in Chern-Simons $f(R)$ Gravity Cosmology
• Primordial Black Holes and Gravitational Waves in Hybrid Inflation with Chaotic Potentials
• Parity Violating Metric-Affine Gravity Theories
• Search for the birefringence of gravitational waves with the third observing run of Advanced LIGO-Virgo
• Model-independent test of the parity symmetry of gravity with gravitational waves
• Possible consistent model of parity violations in the symmetric teleparallel gravity
• Tests of CPT invariance in gravitational waves with LIGO-Virgo catalog GWTC-1
• Gauge transformation of scalar induced tensor perturbation during matter domination
• Teleparallel axions and cosmology
• Probing primordial black holes with anisotropies in stochastic gravitational-wave background
• Note on gauge invariance of second order cosmological perturbations
• The Full Quadratic Metric-Affine Gravity (Including Parity Odd Terms): Exact solutions for the Affine-Connection
• Torsion-induced gravitational $\theta$ term and gravitoelectromagnetism
• Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
• Chiral gravitational waves from z=2 Hořava-Lifshitz gravity
• Ghost instability in the teleparallel gravity model with parity violations
• Post-Newtonian parameters of ghost-free parity-violating gravities
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• Gauge Invariant Second Order Gravitational Waves
• Gravitational wave birefringence in spatially curved teleparallel cosmology
• Covariant 3+1 correspondence of the spatially covariant gravity and the degeneracy conditions
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• On the Gauge Invariance of Scalar Induced Gravitational Waves: Gauge Fixings Considered

Cited by in corpus (15)

• Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory
• Polarized primordial gravitational waves in spatial covariant gravities
• Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Scalar-Induced Gravitational Waves from Ghost Inflation and Parity Violation
• Parity-violation in bouncing cosmology
• Scalar induced gravitational waves from Chern-Simons gravity during inflation era
• Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term
• 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
• Scalar induced gravitational waves in chiral scalar-tensor theory of gravity
• Scalar-induced gravitational waves in spatially covariant gravity
• Circularly polarized gravitational waves from parity-violating scalar-tensor theory