An analytic description of the damping of gravitational waves by free streaming neutrinos

Abstract

We provide an analytic solution to the general wavelength integro-differential equation describing the damping of tensor modes of gravitational waves due to free streaming neutrinos in the early universe. Our result is expressed as a series of spherical Bessel functions whose coefficients are functions of the reduced wave number $Q$.

arXiv comment14 pages, 2 figures, revisions, additional references

References in corpus (8)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Damping of Tensor Modes in Cosmology
• Precision calculations of the gravitational wave background spectrum from inflation
• Comment on "Damping of Tensor Modes in Cosmology"
• New method to constrain the relativistic free-streaming gas in the Universe
• Damping of tensor modes in inflation
• A possible signature of cosmic neutrino decoupling in the nHz region of the spectrum of primordial gravitational waves

Cited by in corpus (29)

• Primordial gravitational waves, precisely: The role of thermodynamics in the Standard Model
• Primordial Gravitational Waves in Nonstandard Cosmologies
• A Hidden Dark Matter Sector, Dark Radiation, and the CMB
• Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
• The Imprint of Relativistic Particles on the Anisotropies of the Stochastic Gravitational-Wave Background
• Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases
• Primordial backgrounds of relic gravitons
• Damping of gravitational waves by matter
• Impact of high-scale Seesaw and Leptogenesis on inflationary tensor perturbations as detectable gravitational waves
• Microphysical manifestations of viscosity and consequences for anisotropies in the very early universe
• Probing neutrino interactions and dark radiation with gravitational waves
• Gravitational Landau Damping for massive scalar modes
• Non-Markovian open quantum system approach to the early universe: I. Damping of gravitational waves by matter
• Probing large-scale magnetism with the Cosmic Microwave Background
• The scalar, vector, and tensor modes in gravitational wave turbulence simulations
• Impact of the free-streaming neutrinos to the second order induced gravitational waves
• Relic gravitons and high-frequency detectors
• Relativistic viscous effects on the primordial gravitational waves spectrum
• Spurious gauge-invariance of higher-order contributions to the spectral energy density of the relic gravitons
• Damping of tensor mode in spatially closed cosmology
• Damping of gravitational waves in f(R) gravity
• Effective anisotropic stresses of the relic gravitons
• Relic gravitons and pulsar timing arrays: a theoretical viewpoint
• Relic gravitons and non-stationary processes
• Flat spectra of cosmic gravitons in the nHz and audio bands
• Interaction of exact gravitational waves with matter
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Relic gravitons at intermediate frequencies and the expansion history of the Universe
• Applications of Cosmological Perturbation Theory in the Late Universe