Stationary and static cylindrically symmetric Einstein spaces of the Lewis form

Details Stationary and static cylindrically symmetric Einstein spaces of the Lewis form Stationary and static cylindrically symmetric Einstein spaces of the Lewis form

1997-12-04

arxiv.org/abs/gr-qc/9712028v1

Class.Quant.Grav.15:1627-1636,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX 2.09 with ioplcqg macro file, no figures. Submitted to Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/15/6/017

The derivation of the general solutions for stationary and static cylindrically symmetric Einstein spaces of Lewis form is revisited and the physical and geometrical meaning of the parameters appearing in the resulting solutions are investigated. It is shown that three of the parameters (and the value of the cosmological constant) are essential, of which one characterizes the local gravitational field and appears in the Cartan scalars, while the remaining two give information about the topological identification made to produce cylindrical symmetry. Other than the cosmological constant, they can be related to the parameters of the vacuum Weyl and Lewis classes, whose interpretation was previously investigated by da Silva et al. (1995a, 1995b).

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