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arXiv · 1212.5476

Conformally flat sources for the Linet-Tian spacetime

Irene Brito·M. F. A. da Silva·Filipe C. Mena·N. O. Santos
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Abstract

We investigate the matching, across cylindrical surfaces, of static cylindrically symmetric conformally flat spacetimes with a cosmological constant $Λ$, satisfying regularity conditions at the axis, to an exterior Linet-Tian spacetime. We prove that for $Λ\leq 0$ such matching is impossible. On the other hand, we show through simple examples that the matching is possible for $Λ>0$. We suggest a physical argument that might explain these results.

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Irene Brito, M. F. A. da Silva, Filipe C. Mena, N. O. Santos. 2012-12-28. Conformally flat sources for the Linet-Tian spacetime. https://doi.org/10.1007/s10714-012-1485-6

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