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arXiv · 1212.4488

A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity

M. E. Rodrigues·M. J. S. Houndjo·D. Momeni·R. Myrzakulov
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Abstract

In this letter we obtain an exact solution for cylindrically symmetric modified Gauss Bonnet gravity. This metric is a generalization of the vacuum solution of the Levi-Civita in the general relativity. It describes an isotropic perfect fluid one parameter family of the gravitational configurations which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss-Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.

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M. E. Rodrigues, M. J. S. Houndjo, D. Momeni, R. Myrzakulov. 2013-09-25. A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity. https://doi.org/10.1139/cjp-2013-0414

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