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On the parameters of Lewis metric for the Weyl class

M. F. A. da Silva·L. Herrera·F. M. Paiva·N. O. Santos
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Abstract

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 cilinder, 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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M. F. A. da Silva, L. Herrera, F. M. Paiva, N. O. Santos. 1996-07-23. On the parameters of Lewis metric for the Weyl class. https://doi.org/10.1007/bf02113068

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