Cylindrical sources in full Einstein and Brans-Dicke gravity
arXiv:gr-qc/0005026 · doi:10.1023/A:1001995424662
Abstract
It was shown by Hiscock that the energy-momentum tensor commonly used to model local cosmic strings in linearized Einstein gravity can be extended and used in the full theory, obtaining a metric in the exterior of the source with the same deficit angle. Here we show that this tensor is an exception within a family for which a static solution does not exist in full Einstein nor in Brans-Dicke gravity.
11 pages, no figures. Accepted for publication in Gen. Rel. Grav
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