Measuring the speed of scalar induced gravitational waves from observations

Abstract

We investigate the scalar induced gravitational waves which propagate with a speed different from the speed of light. First, we analytically calculate the expression of the power spectrum of the scalar induced gravitational waves which is based on the speed and the spectrum of the primordial curvature perturbations. Then, we discuss several scalar power spectra and obtain corresponding fractional energy density, such as the monochromatic power spectrum, the scale invariant power spectrum and the power-law power spectrum. Finally, we constrain the scalar induced gravitational waves and evaluate the signatures of the speed from the combination of CMB+BAO and gravitational waves observations. The numerical results are obvious to reveal the influence of speed of scalar induced gravitational waves.

arXiv commentarXiv admin note: text overlap with arXiv:2204.09237

References in corpus (89)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• 4D Gravity on a Brane in 5D Minkowski Space
• Quantum Gravity at a Lifshitz Point
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Resummation of Massive Gravity
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• 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
• An All-Sky Analysis of Polarization in the Microwave Background
• The Five-Hundred-Meter Aperture Spherical Radio Telescope (FAST) Project
• Bimetric Gravity from Ghost-free Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Horndeski theory and beyond: a review
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Relativistic second-order perturbations of the Einstein-de Sitter Universe
• Einstein-Aether Waves
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars
• Primordial gravitational waves, precisely: The role of thermodynamics in the Standard Model
• Second-order Perturbations of the Friedmann World Model
• Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
• Gravitational waves induced by scalar perturbations as probes of the small-scale primordial spectrum
• Testing Primordial Black Holes as Dark Matter through LISA
• The Parkes Pulsar Timing Array Third Data Release
• Pulsar Timing Array Constraints on Primordial Black Holes with NANOGrav 11-Year Data Set
• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• Recent developments in bimetric theory
• 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
• Enhancement of Gravitational Waves Induced by Scalar Perturbations due to a Sudden Transition from an Early Matter Era to the Radiation Era
• Gravitational waves from an early matter era
• Perturbative instabilities in Horava gravity
• Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
• Observable Spectra of Induced Gravitational Waves from Inflation
• Gravitational Waves Induced by Scalar Perturbations during a Gradual Transition from an Early Matter Era to the Radiation Era
• Primordial black holes and gravitational waves from resonant amplification during inflation
• Gauge Independence of Induced Gravitational Waves
• Scalar Induced Gravitational Waves in Different Gauges
• When Primordial Black Holes from Sound Speed Resonance Meet a Stochastic Background of Gravitational Waves
• Constraints on primordial density perturbations from induced gravitational waves
• Log-dependent slope of scalar induced gravitational waves in the infrared regions
• Observable induced gravitational waves from an early matter phase
• Primordial blackholes and gravitational waves for an inflection-point model of inflation
• Scalar induced gravitational waves in inflation with gravitationally enhanced friction
• PBH formation in EFT of single field inflation with sharp transition
• Probing Primordial-Black-Hole Dark Matter with Scalar Induced Gravitational Waves
• Measuring the spectrum of primordial gravitational waves with CMB, PTA and Laser Interferometers
• Gauge dependence of gravitational waves generated from scalar perturbations
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Low-frequency Gravitational Waves from Double-inflection-point Inflation
• Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes
• Gravitational waves induced by the local-type non-Gaussian curvature perturbations
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
• 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
• Constraints on primordial curvature power spectrum with pulsar timing arrays
• Confronting sound speed resonance with pulsar timing arrays
• Gravitational waves: Classification, Methods of detection, Sensitivities, and Sources
• Signatures of a Graviton Mass in the Cosmic Microwave Background
• Primordial black holes and secondary gravitational waves from the Higgs field
• Gravitational waves generated by second order effects during inflation
• Sound speed resonance of the stochastic gravitational wave background
• Propagating Speed of Primordial Gravitational Waves
• Propagating speed of primordial gravitational waves and inflation
• Probing the speed of scalar-induced gravitational waves with pulsar timing arrays
• Constraining gravitational wave propagation using pulsar timing array correlations
• Hunting the stochastic gravitational wave background in pulsar timing array cross correlations through theoretical uncertainty
• Inflationary Gravitational Waves and the Evolution of the Early Universe
• Secondary graviton spectra and waterfall-like fields
• Testing gravity theories using tensor perturbations
• Measuring the spectral running from cosmic microwave background and primordial black holes
• Signatures of graviton masses on the CMB
• Signatures of Modified Dispersion Relation of Graviton in the Cosmic Microwave Background
• Measuring the modified gravitational waves propagation beyond general relativity from CMB observations
• Measuring the primordial gravitational waves from cosmic microwave background and stochastic gravitational wave background observations
• Measuring the primordial curvature perturbations from the scalar induced gravitational waves
• Tadpole Cosmology: Milne Solution as a Cosmological Constant Hideout