THE PARAMETERS OF THE LEWIS METRIC FOR THE WEYL CLASS

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Data

1995-08-01

Autores

Dasilva, M. F. A. [UNESP]
Herrera, L.
Paiva, F. M.
Santos, N. O.

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Plenum Publ Corp

Resumo

We provide physical interpretation for the four parameters of the stationary Lewis metric restricted to the Weyl class. Matching this spacetime to a completely anisotropic, rigidly rotating, fluid cylinder, we obtain from the junction conditions that one of these parameters is proportional to the vorticity of the source. From the Newtonian approximation a second parameter is found to be proportional to the energy per unit of length. The remaining two parameters may be associated to a gravitational analog of the Aharanov-Bohm effect. We prove, using the Cartan scalars, that the Weyl class metric and static Levi-Civita metric are locally equivalent, i.e., indistinguishable in terms of its curvature.

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General Relativity and Gravitation. New York: Plenum Publ Corp, v. 27, n. 8, p. 859-872, 1995.

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