Treating singularities as free boundaries in the Einstein-Hilbert action yields boundary conditions excluding Kasner/BKL spacetimes while admitting conformally regular FLRW cosmologies sourced by 0 ≤ P < ρ fluids with reflecting perturbations.
Isotropic cosmological singularities 2: The Einstein-Vlasov system
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abstract
We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. After developing the general theory, we restrict to spatially-homogeneous cosmologies. We show that the Cauchy problem for these equations is well-posed with data consisting of the limiting particle distribution function at the singularity.
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gr-qc 1years
2026 1verdicts
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The free boundary problem in general relativity
Treating singularities as free boundaries in the Einstein-Hilbert action yields boundary conditions excluding Kasner/BKL spacetimes while admitting conformally regular FLRW cosmologies sourced by 0 ≤ P < ρ fluids with reflecting perturbations.