Exploring Levi-Civita’s cylindrical solutions in \(f(\mathcal{G},T)\) gravity

  • Mushtaq Ahmad
  • M. Farasat ShamirEmail author
Original Article


An exact solution pertaining to the existence of cosmic strings has been discussed for a cylindrically symmetric \(f(\mathcal{G},T)\) gravity model, with \(\mathcal{G}\) being the Gauss-Bonnet invariant and \(T\) the trace of energy momentum tensor. This solution corresponds to the generalised vacuum Levi-Civita’s metric in general relativity. Exclusive expressions for the energy density and pressure terms along with their corresponding null energy constraints have been worked out and analyzed graphically. It has been shown that the energy density remains positive and the null energy conditions are met largely for some particular choices of the parametric terms appearing in the model. However, certain violation of these energy constraints under specific circumstances hints the existence of cylindrical wormholes. Moreover, if the coupling constant of the Gauss-Bonnet invariant is set to null, Levi-Civita vacuum solution in general relativity is recovered.


\(f(\mathcal{G},T)\) gravity Cosmic Strings Levi-Civita’s Solution 



Many thanks to the anonymous reviewers for valuable comments and suggestions to improve the paper. This work was supported by National University of Computer and Emerging Sciences (NUCES), Pakistan.


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.National University of Computer and Emerging SciencesLahore CampusPakistan

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