Conformally flat sources for the Linet-Tian spacetime
arXiv:1212.5476 · doi:10.1007/s10714-012-1485-6
Abstract
We investigate the matching, across cylindrical surfaces, of static cylindrically symmetric conformally flat spacetimes with a cosmological constant , satisfying regularity conditions at the axis, to an exterior Linet-Tian spacetime. We prove that for such matching is impossible. On the other hand, we show through simple examples that the matching is possible for . We suggest a physical argument that might explain these results.
Accepted for publication in General Relativity and Gravitation
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