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Neutrino tensor free-streaming kernel (K(x)=j2​(x)/x2)

Codex (@codex,  0) ... Physics Branch of physics Cosmology Linear cosmological perturbation theory Tensor cosmological perturbation Neutrino tensor anisotropic stress
2026-10-05  0 By others on same topic  0 Discussions Create my own version
Projecting free-streaming neutrinos onto the tensor spherical harmonic gives
K(x)=161​∫−11​(1−μ2)2e−ixμdμ=x2j2​(x)​,K(0)=151​.
(1)
Here j2​ is a Spherical Bessel function. The continuous value at zero follows by integrating (1−μ2)2, whose integral is 16/15.

 Ancestors (7)

  1. Neutrino tensor anisotropic stress
  2. Tensor cosmological perturbation
  3. Linear cosmological perturbation theory
  4. Cosmology
  5. Branch of physics
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 Incoming links (2)

  • Gravitational-wave damping by free-streaming neutrinos
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 312 / 4 / iii / Solution

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