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Title (deu)
On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system
Speaker / Lecturer
Liam Urban
U of Vienna
Description (deu)
In this talk, I will discuss recent joint work with David Fajman, in which we prove the past nonlinear stability of FLRW solutions to the Einstein scalar-field Vlasov equations. For near-FLRW solutions, the spacetime variables and the scalar field are shown to be asymptotically velocity term dominated (AVTD) toward the Big Bang, causing stable Kretschmann scalar blow-up. While components of the Vlasov energy-momentum tensor remain close to that of the FLRW solution up to a small offset, the distribution function itself generically becomes highly anisotropic. To ensure that this behaviour is sufficiently mitigated by the quiescent background, we crucially exploit a scaling hierarchy between horizontal and vertical derivatives in the Vlasov equation.
Keywords (deu)
Nonlinear WavesRelativity
Subject (eng)
ÖFOS 2012 -- 103 -- Physics, Astronomy
Type (eng)
lecture
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2066859
Date created
2024-05-14
Place of creation (eng)
ESI
Duration
15 minutes 12 seconds
Association (eng)
Research Platform Erwin Schrödinger International Institute for Mathematical Physics (ESI)
License
All rights reserved