Extracting parity-violating gravitational waves from projected tidal force tensor in three dimensions
arXiv:2405.04210 · doi:10.1088/1475-7516/2024/10/060
Abstract
Gravitational waves (GWs) may be produced by various mechanisms in the early universe. In particular, if parity is violated, it may lead to the production of parity-violating GWs. In this paper, we focus on GWs on the scale of the large-scale structure. Since GWs induce tidal deformations of the shape of galaxies, one can extract such GW signals by observing images of galaxies in galaxy surveys. Conventionally the detection of such signals is discussed by considering the three-dimensional power spectra of the -modes. Here, we develop a complementary new technique to estimate the contribution of GWs to the tidal force tensor field projected on the celestial sphere, which is a directly observable quantity. We introduce two two-dimensional vector fields constructed by taking the divergence and curl of the projected tidal field in three dimensions. Their auto-correlation functions naturally contain contributions of the scalar-type tidal field. However, we find that the divergence of the curl of the projected tidal field, which is a pseudo-scalar quantity, is free from the scalar contribution and thus enables us to extract GW signals. We also find that we can detect parity-violating signals in the GWs by observing the nonzero cross-correlation between the divergence of the projected tidal field and the curl of it. It roughly corresponds to measuring the cross-power spectrum of E and B-modes, but these are complementary to each other in the sense that our estimator can be naturally defined locally in position space. Finally we present expressions of the correlation functions in the form of Fourier integrals, and discuss the properties of the kernels specific to the GW case, which we call the overlap reduction function, borrowing the terminology used in the pulsar timing array experiments.
arXiv comment25 pages, 3 figures, accepted in JCAP
References in corpus (80)
- TianQin: a space-borne gravitational wave detector
- The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
- Laser Interferometer Space Antenna
- Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
- An All-Sky Analysis of Polarization in the Microwave Background
- The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
- Statistics of Cosmic Microwave Background Polarization
- Chern-Simons Modification of General Relativity
- Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities
- Cosmological Signature of New Parity-Violating Interactions
- Detection methods for stochastic gravitational-wave backgrounds: a unified treatment
- Intrinsic and Extrinsic Galaxy Alignment
- Gauge Fields and Inflation
- New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
- The Sensitivity of Ligo to a Stochastic Background, and its Dependance on the Detector Orientations
- Spin induced galaxy alignments and their implications for weak lensing measurements
- New Extraction of the Cosmic Birefringence from the Planck 2018 Polarization Data
- Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
- Cosmic Shear from Galaxy Spins
- Intrinsic Ellipticity Correlation of SDSS Luminous Red Galaxies and Misalignment with their Host Dark Matter Halos
- New physics from the polarised light of the cosmic microwave background
- Birefringent Gravitational Waves and the Consistency Check of Inflation
- Resilience of the standard predictions for primordial tensor modes
- Cosmic Birefringence from Planck Data Release 4
- Testing the tidal alignment model of galaxy intrinsic alignment
- 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
- Clustering Fossils from the Early Universe
- Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
- Imprint of inflation on galaxy shape correlations
- Cosmic Rulers
- Measuring a Parity Violation Signature in the Early Universe via Ground-based Laser Interferometers
- The Gravitational Shear--Intrinsic Ellipticity Correlation Functions of Luminous Red Galaxies in Observation and in the CDM Model
- Large-Scale Structure with Gravitational Waves II: Shear
- Cosmological Information in the Intrinsic Alignments of Luminous Red Galaxies
- Polarization analysis of gravitational-wave backgrounds from the correlation signals of ground-based interferometers: measuring a circular-polarization mode
- Measurement of Parity-Odd Modes in the Large-Scale 4-Point Correlation Function of SDSS BOSS DR12 CMASS and LOWZ Galaxies
- Large-Scale Structure and Gravitational Waves III: Tidal Effects
- Primordial Gravity Waves and Weak Lensing
- Cosmic Shear of the Microwave Background: The Curl Diagnostic
- Prospects for direct detection of circular polarization of gravitational-wave background
- Primordial gravity wave fossils and their use in testing inflation
- Bending of Light by Gravity Waves
- Multitracing Anisotropic Non-Gaussianity with Galaxy Shapes
- Is the squeezing of relic gravitational waves produced by inflation detectable?
- Primordial Gravitational Waves from Galaxy Intrinsic Alignments
- Large-Scale Structure with Gravitational Waves I: Galaxy Clustering
- Improving geometric and dynamical constraints on cosmology with intrinsic alignments of galaxies
- Galaxy imaging surveys as spin-sensitive detector for cosmological colliders
- Power spectrum of halo intrinsic alignments in simulations
- Can weak lensing surveys confirm BICEP2 ?
- Probing Primordial Chirality with Galaxy Spins
- Anisotropies of galaxy ellipticity correlations in real and redshift space: angular dependence in linear tidal alignment model
- Two- and Three-Dimensional Probes of Parity in Primordial Gravity Waves
- Observational detection of correlation between galaxy spins and initial conditions
- Tightening geometric and dynamical constraints on dark energy and gravity: galaxy clustering, intrinsic alignment and kinetic Sunyaev-Zel'dovich effect
- Imprint of anisotropic primordial non-Gaussianity on halo intrinsic alignments in simulations
- Cosmological simulation in tides: power spectra and halo shape responses, and shape assembly bias
- Intrinsic alignment statistics of density and velocity fields at large scales: Formulation, modeling, and baryon acoustic oscillation features
- First Constraints on Growth Rate from Redshift-Space Ellipticity Correlations of SDSS Galaxies at
- Testing tidal alignment models for anisotropic correlations of halo ellipticities with N-body simulations
- Cross-Correlating Probes of Primordial Gravitational Waves
- Parametrizing gravitational-wave polarizations
- Constraints on anisotropic primordial non-Gaussianity from intrinsic alignments of SDSS-III BOSS galaxies
- Parity violating gravitational waves at the end of inflation
- Spin Parity of Spiral Galaxies I -- Corroborative Evidence for Trailing Spirals
- Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
- Quadratic shape biases in three-dimensional halo intrinsic alignments
- Phase decoherence of gravitational wave backgrounds
- Observational search for primordial chirality violations using galaxy angular momenta
- Distinguishing between CDM and gravity models using halo ellipticity correlations in simulations
- Probing Parity Violation in the Stochastic Gravitational Wave Background with Astrometry
- Analysis method for 3D power spectrum of projected tensor field with fast estimator and window convolution modelling: an application to intrinsic alignments
- Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
- Wide-angle effects on galaxy ellipticity correlations
- Statistical anisotropy in galaxy ellipticity correlations
- Imprints of primordial magnetic fields on intrinsic alignments of galaxies
- Integrated perturbation theory for cosmological tensor fields. III. Projection effects
- Relativistic distortions in galaxy density-ellipticity correlations: gravitational redshift and peculiar velocity effects
- Nonlinear redshift space distortion in halo ellipticity correlations: Analytical model and N-body simulations