Research PapersNo Access
On several static cylindrically symmetric solutions of the Einstein equations
https://doi.org/10.1142/S0217732316500681Cited by:0 (Source: Crossref)
Abstract
We study the Einstein equations in the static cylindrically symmetric case with the stress–energy tensor of the form Tμ ν=diag{μ,−αμ,−βμ,−γμ}Tμ ν=diag{μ,−αμ,−βμ,−γμ}, where μμ is an unknown function and αα, ββ, γγ are arbitrary real constants (αα is assumed to be nonzero). The stress–energy tensor of this form includes as special cases several well-known solutions, such as the perfect fluid solution with the barotropic equation of state, the solution with the static electric field and the solution with the massless scalar field. We solve the Einstein equations with this stress–energy tensor and study some properties of the obtained metric.
PACS: 04.20.Jb
