transparent gif

 

Ej inloggad.

Göteborgs universitets publikationer

Static solutions to the Einstein-Vlasov system with a nonvanishing cosmological constant

Författare och institution:
Håkan Andréasson (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); D. Fajman (-); Maximilian Thaller (Institutionen för matematiska vetenskaper, Chalmers/GU)
Publicerad i:
SIAM Journal on Mathematical Analysis, 47 ( 4 ) s. 2657-2688
ISSN:
0036-1410
E-ISSN:
1095-7111
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2015
Språk:
engelska
Fulltextlänk:
Fulltextlänk (lokalt arkiv):
Sammanfattning (abstract):
We construct spherically symmetric static solutions to the Einstein-Vlasov system with nonvanishing cosmological constant Λ. The results are divided as follows. For small Λ > 0 we show the existence of globally regular solutions which coincide with the Schwarzschild-deSitter solution in the exterior of the matter regions. For Λ < 0 we show via an energy estimate the existence of globally regular solutions which coincide with the Schwarzschild-anti-deSitter solution in the exterior vacuum region. We also construct solutions with a Schwarzschild singularity at the center regardless of the sign of Λ. For all solutions considered, the energy density and the pressure components have bounded support. Finally, we point out a straightforward method for obtaining a large class of global, nonvacuum spacetimes with topologies ℝ × S3 and ℝ × S2 × ℝ which arise from our solutions as a result of using the periodicity of the Schwarzschild-deSitter solution. A subclass of these solutions contains black holes of different masses.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
NATURVETENSKAP ->
Fysik ->
Fusion, plasma och rymdfysik ->
Rymdfysik
Nyckelord:
Black holes , Einstein equations , Einstein-Vlasov system , Schwarzschild-anti-deSitter , Schwarzschild-deSitter , Static solutions
Postens nummer:
222778
Posten skapad:
2015-09-18 15:22
Posten ändrad:
2016-07-14 13:06

Visa i Endnote-format

Göteborgs universitet • Tel. 031-786 0000
© Göteborgs universitet 2007