Correlations for an anisotropic polarized stochastic gravitational wave background in pulsar timing arrays

Abstract

The recent compelling observation of the nanohertz stochastic gravitational wave background has brought to light a new galactic arena to test gravity. In this paper, we derive a formula for the most general expression of the stochastic gravitational wave background correlation that could be tested with pulsar timing and future square kilometer arrays. Our expressions extends the harmonic space analysis, also often referred to as the power spectrum approach, to predict the correlation signatures of an anisotropic polarized stochastic gravitational wave background with subluminal tensor, vector, and scalar gravitational degrees of freedom. We present the first few nontrivial anisotropy and polarization signatures in the correlation and discuss their dependence on the gravitational wave speed and pulsar distances. Our results set up tests that could potentially be used to rigorously examine the isotropy of the stochastic gravitational wave background and strengthen the existing constraints on possible non-Einsteinian polarizations in the nanohertz gravitational wave regime.

arXiv comment29 pages + refs, 6 figures, to appear in JCAP, our codes https://github.com/reggiebernardo/PTAfast

References in corpus (70)

• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• 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 NANOGrav 15-year Data Set: Search for Signals from New Physics
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• Detection methods for stochastic gravitational-wave backgrounds: a unified treatment
• Gravitational waves from binary supermassive black holes missing in pulsar observations
• The second data release from the European Pulsar Timing Array I. The dataset and timing analysis
• The Astrophysics of Nanohertz Gravitational Waves
• Ultra-Low Frequency Gravitational Radiation from Massive Black Hole Binaries
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Pulsar Timing Array Constraints on Primordial Black Holes with NANOGrav 11-Year Data Set
• The Local Nanohertz Gravitational-Wave Landscape From Supermassive Black Hole Binaries
• A Practical Theorem on Gravitational Wave Backgrounds
• Characterising gravitational wave stochastic background anisotropy with Pulsar Timing Arrays
• The NANOGrav 15-year Data Set: Bayesian Limits on Gravitational Waves from Individual Supermassive Black Hole Binaries
• Stochastic backgrounds in alternative theories of gravity: overlap reduction functions for pulsar timing arrays
• Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays
• Searching For Anisotropic Gravitational-wave Backgrounds Using Pulsar Timing Arrays
• Searching For Gravitational Waves From Cosmological Phase Transitions With The NANOGrav 12.5-year dataset
• Astrophysics Milestones For Pulsar Timing Array Gravitational Wave Detection
• Cosmological Background Interpretation of Pulsar Timing Array Data
• The second data release from the European Pulsar Timing Array: IV. Implications for massive black holes, dark matter and the early Universe
• Prospects for gravitational-wave detection and supermassive black hole astrophysics with pulsar timing arrays
• Constraining cosmological phase transitions with the Parkes Pulsar Timing Array
• Variance of the Hellings-Downs Correlation
• Gravitational Waves from SMBH Binaries in Light of the NANOGrav 15-Year Data
• Nano-Hertz gravitational waves from collapsing domain walls associated with freeze-in dark matter in light of pulsar timing array observations
• Hellings and Downs correlation of an arbitrary set of pulsars
• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• The NANOGrav 12.5-year data set: Search for Non-Einsteinian Polarization Modes in theGravitational-Wave Background
• Pulsar-timing arrays, astrometry, and gravitational waves
• Probing circular polarization in stochastic gravitational wave background with pulsar timing arrays
• Ultra-low frequency gravitational waves from cosmological and astrophysical processes
• Translating nano-Hertz gravitational wave background into primordial perturbations taking account of the cosmological QCD phase transition
• Search for Stochastic Gravitational-Wave Background from Massive Gravity in the NANOGrav 12.5-Year Data Set
• Pulsar and cosmic variances of pulsar timing-array correlation measurements of the stochastic gravitational wave background
• Gravitational waves and the polarizations in Hořava gravity after GW170817
• NANOGrav signal from axion inflation
• Scalar induced gravity waves from ultra slow-roll Galileon inflation
• Broken blue-tilted inflationary gravitational waves: a joint analysis of NANOGrav 15-year and BICEP/Keck 2018 data
• Subluminal stochastic gravitational waves in pulsar-timing arrays and astrometry
• The effect of small inter-pulsar distance variations in stochastic gravitational wave background searches with Pulsar Timing Arrays
• Probing The Early Universe Cosmology With NANOGrav: Possibilities and Limitations
• Ultra-low mass PBHs in the early universe can explain the PTA signal
• Stochastic gravitational wave background phenomenology in a pulsar timing array
• Detecting the Stochastic Gravitational Wave Background from Massive Gravity with Pulsar Timing Arrays
• Constraining gravitational wave propagation using pulsar timing array correlations
• Harmonic space analysis of pulsar timing array redshift maps
• Answers to frequently asked questions about the pulsar timing array Hellings and Downs curve
• Pulsar-timing measurement of the circular polarization of the stochastic gravitational-wave background
• Bounds on Ultralight Dark Matter from NANOGrav
• Heavy QCD axion model in light of pulsar timing arrays
• A Test of Gravity with Pulsar Timing Arrays
• Hunting the stochastic gravitational wave background in pulsar timing array cross correlations through theoretical uncertainty
• Search for Non-Tensorial Gravitational-Wave Backgrounds in the NANOGrav 15-Year Data Set
• Multi-messenger Approaches to Supermassive Black Hole Binary Detection and Parameter Estimation: Implications for Nanohertz Gravitational Wave Searches with Pulsar Timing Arrays
• Dissecting the Stochastic Gravitational Wave Background with Astrometry
• Cosmic Variance of the Three-Point Correlation Function of the Cosmic Microwave Background
• Astrometric Effects of Gravitational Wave Backgrounds with non-Luminal Propagation Speeds
• Testing gravity with cosmic variance-limited pulsar timing array correlations
• Constraints on the velocity of gravitational waves from NANOGrav 15-year data set
• Beyond the Hellings-Downs curve: Non-Einsteinian gravitational waves in pulsar timing array correlations
• Looking out for the Galileon in the nanohertz gravitational wave sky
• Timing-residual power spectrum of a polarized stochastic gravitational-wave background in pulsar-timing-array observation
• Redshift-space fluctuations in stochastic gravitational wave background
• Efficient Computation of Overlap Reduction Functions for Pulsar Timing Arrays
• Linear polarization of the stochastic gravitational-wave background with pulsar timing arrays

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• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
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• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Measuring anisotropies in the PTA band with cross-correlations
• Mitigating cosmic variance in the Hellings-Downs curve: a Cosmic Microwave Background analogy
• Connecting Inflation to the NANOGrav 15-year Data Set via Massive Gravity
• Spatial Correlation between Pulsars from Interfering Gravitational-Wave Sources in Massive Gravity