Static Cylindrically Symmetric Gravitational Field with Cosmological Constant

Details Static Cylindrically Symmetric Gravitational Field with Cosmological Constant Static Cylindrically Symmetric Gravitational Field with Cosmological Constant

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ap%26ss.245..139b&link_type=abstract

Astrophysics and Space Science, Volume 245, Issue 1, pp.139-149

Astronomy and Astrophysics

Astrophysics

Scientific paper

We show that a class of solutions for a vacuum cylindrically symmetric gravitational field with nonvanishing cosmological constant reduce to the welknown Levi-Civita metric close to the axis. All the circular geodesics in this generalized vacuum are time like, null or space like depending on the relative magnitudes of the two parameters appearing in the solutions. For other particles moving inZ=constant plane there are some cases where the trapping of timelike and null trajectories occur, while in other cases some of the particles may orbit round the axis in a fixed zone bounded by two limiting radii.

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