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pro vyhledávání: '"Thaller, Maximilian"'
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compact support assumptions on the initial data of the Vlasov field in spac
Externí odkaz:
http://arxiv.org/abs/2003.03346
Autor:
Thaller, Maximilian
The existence of stationary solutions of the Einstein-Vlasov-Maxwell system which are axially symmetric but not spherically symmetric is proven by means of the implicit function theorem on Banach spaces. The proof generalises the methods of an articl
Externí odkaz:
http://arxiv.org/abs/1907.10517
We prove the stability of de Sitter space-time as a solution to the Einstein-Vlasov system with massless particles. The semi-global stability of Minkowski space-time is also addressed. The proof relies on conformal techniques, namely Friedrich's conf
Externí odkaz:
http://arxiv.org/abs/1903.12251
Autor:
Harada, Tomohiro, Thaller, Maximilian
Due to R. Beig and W. Simon (1990) there is a uniqueness theorem for static solutions of the Einstein-Euler system which applies to fluid models whose equation of state fulfills certain conditions. In this article it is shown that this uniqueness the
Externí odkaz:
http://arxiv.org/abs/1806.10539
Autor:
Thaller, Maximilian
In this article the static Einstein-Vlasov-Maxwell system is considered in spherical symmetry. This system describes an ensemble of charged particles interacting by general relativistic gravity and Coulomb forces. First, a proof for local existence o
Externí odkaz:
http://arxiv.org/abs/1801.05664
Publikováno v:
Ann. Henri Poincar\'e 18, 681-705 (2017)
We prove existence of spherically symmetric, static, self-gravitating photon shells as solutions to the massless Einstein-Vlasov system. The solutions are highly relativistic in the sense that the ratio $2m(r)/r$ is close to $8/9$, where $m(r)$ is th
Externí odkaz:
http://arxiv.org/abs/1511.01290
We construct spherically symmetric, static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant $\Lambda$. The results are divided as follows. For small $\Lambda>0$ we show existence of globally regular solutions which coi
Externí odkaz:
http://arxiv.org/abs/1409.5333
Autor:
Thaller, Maximilian1 (AUTHOR) maxtha@chalmers.se, Harada, Tomohiro2 (AUTHOR)
Publikováno v:
Letters in Mathematical Physics. Jul2020, Vol. 110 Issue 7, p1877-1901. 25p.
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