Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Maximilian Thaller"'
Autor:
Maximilian Thaller, Tomohiro Harada
Publikováno v:
Letters in Mathematical Physics. 110:1877-1901
In Beig and Simon (Commun Math Phys 144:373–390, 1992) the authors prove 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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5399dd3ae9faddb0f9ef9a5f6faaf121
https://doi.org/10.1007/s11005-020-01284-y
https://doi.org/10.1007/s11005-020-01284-y
Autor:
Maximilian Thaller
Publikováno v:
SIAM Journal on Mathematical Analysis. 51:2231-2260
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60df5f6511b172b9d09b7bdc64ee4436
https://doi.org/10.1137/18m1179377
https://doi.org/10.1137/18m1179377
Publikováno v:
Annales de l'Institut Fourier
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a503b157793805c417c7e4323df235ea
https://hdl.handle.net/21.11116/0000-0003-4851-121.11116/0000-0003-484F-5
https://hdl.handle.net/21.11116/0000-0003-4851-121.11116/0000-0003-484F-5
Publikováno v:
Archive for Rational Mechanics and Analysis
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3b4e8e4ce3e744e795a39f66b05d33f
https://hal.archives-ouvertes.fr/hal-02612150
https://hal.archives-ouvertes.fr/hal-02612150
Autor:
Maximilian Thaller
Publikováno v:
Classical and Quantum Gravity. 37:035008
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23737ab58c161e88bd90bb3a344a012e
https://doi.org/10.1088/1361-6382/ab60ba
https://doi.org/10.1088/1361-6382/ab60ba
Publikováno v:
SIAM Journal on Mathematical Analysis. 47:2657-2688
We construct spherically symmetric static solutions to the Einstein--Vlasov system with nonvanishing cosmological constant $\Lambda$. The results are divided as follows. For small $\Lambda>0$ we show the existence of globally regular solutions which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d438a9e7c11b8ecf601aeaec5f4a89a9
https://doi.org/10.1137/140999608
https://doi.org/10.1137/140999608
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6121b56bcaabb369f3add178e2b63531
http://arxiv.org/abs/1511.01290
http://arxiv.org/abs/1511.01290