On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field
Artikel i vetenskaplig tidskrift, 2018

The Einstein-Vlasov-Fokker-Planck system describes the kinetic diffusion dynamics of self-gravitating particles within the Einstein theory of general relativity. We study the Cauchy problem for spatially homogeneous and isotropic solutions and prove the existence of both global-in-time solutions and solutions that blow-up in finite time depending on the size of certain functions of the initial data. We also derive information on the large-time behavior of global solutions and toward the singularity for solutions which blow-up in finite time. Our results entail the existence of a phase of decelerated expansion followed by a phase of accelerated expansion, in accordance with the physical expectations in cosmology.

Cosmological expansion


Global existence

Asymptotic behavior



Simone Calogero

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Göteborgs universitet

S. Pankavich

Colorado School of Mines

Kinetic and Related Models

1937-5093 (ISSN) 1937-5077 (eISSN)

Vol. 11 5 1063-1083



Annan fysik

Matematisk analys



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