ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
The solution of Einstein's field equations is studied for a metric written in the form (δ≠γ)ds2=−α2(t,r,θ,cursive-phi)dt2 +e2β(t,r) dr2+e2γ(t,r) dθ2 +e2δ(t,r)M2(θ)dcursive-phi2. A perfect fluid, which flows orthogonally to the hypersurfaces t=const is considered as matter content. These hypersurfaces admit a translational Killing vector, which will not be, in general, a Killing vector of the whole space-time. All the possible solutions are obtained when α depends on the variable cursive-phi. These solutions represent either a perfect fluid without expansion or vacuum with a cosmological constant Λ0. Some particular inhomogeneous solutions are obtained for α independently of cursive-phi. These solutions are physical, the fluid obeys an equation of state p=ρ (stiff matter), and the space-time admits, apparently, only a group G2 of isometries. A vacuum family is also obtained in this case.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.526691
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