Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-09-18
Gen.Rel.Grav. 38 (2006) 1825
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages Latex. To appear in Gen.Rel.Grav
Scientific paper
10.1007/s10714-006-0351-9
We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful stationary cylindrically symmmetric distributions of matter, smoothly matched to Lewis vacuum spacetime. A specific example is given. The electric and magnetic parts of the Weyl tensor are calculated, and it is shown that purely electric solutions are necessarily static. Then, it is shown that no conformally flat stationary cylindrical fluid exits, satisfying regularity and matching conditions.
Debbasch Frabrice
Herrera Luis
Pereira R. C. P. T.
Santos Nilton O.
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