Abstract
Gravitational field of a stationary circular cosmic string loop has been studied in the context of full nonlinear Einstein's theory of gravity. It has been assumed that the radial and tangential stresses of the loop are equal to the energy density of the string loop. An exact solution for the system has been presented which has a singularity at a finite distance from the axis, but is regular for any other distances from the axis of the loop.
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Sen, A., Banerjee, N. Gravitational field of a stationary circular cosmic string loop. Astrophysics and Space Science 259, 301–307 (1998). https://doi.org/10.1023/A:1001717823007
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DOI: https://doi.org/10.1023/A:1001717823007