Author(s)

Tiago de Oliveira Rosa¹, Maria Emilia Xavier Guimarães², Joaquim Lopes Neto³

¹Instituto Federal Goiano, Campus Urutaí, Rodovia Geraldo Silva Nascimento, Urutaí, Brazil.
²Instituto de Física, Universidade Federal Fluminense, Niterói, Brazil.
³Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil.

In this work, we derive an exact vacuum solution for a cylindrically symmetric metric in an extended gravity theory developed by Novello, De Lorenci and Luciane (hereafter referred to as the NDL theory) which is inspired in the Born-Infeld theory. The main goal of this paper is to nd a cosmic string solution for the NDL theory. However, a careful analysis of the metric shows that it is asymptotically singular and therefore does not represent a cosmic string solution.

Modied Theories of Gravity, Topological Defects

Rosa, T. , Guimarães, M. and Neto, J. (2019) On an Exact Cylindrically Symmetric Solution in a Born-Infeld Type Theory of Gravity. Journal of High Energy Physics, Gravitation and Cosmology, 5, 711-718. doi: 10.4236/jhepgc.2019.53038.