The massless Einstein-Boltzmann system with a conformal-gauge singularity in an FLRW background

Abstract

We obtain finite-time existence for the massless Boltzmann equation, with a range of soft cross-sections, in an FLRW background with data given at the initial singularity. In the case of positive cosmological constant we obtain long-time existence in proper-time for small data as a corollary.

26 pages, no figures; this revised version is as accepted by CQG

References in corpus (3)

• Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials
• Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant
• Late-time behaviour of the Einstein-Boltzmann system with a positive cosmological constant

Cited by in corpus (4)

• An introduction to the relativistic kinetic theory on curved spacetimes
• The spatially homogeneous Boltzmann equation for massless particles in an FLRW background
• Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity
• Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity