On an Exact Cylindrically Symmetric Solution in a Born-Infeld Type Theory of Gravity

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.

DOI: 10.4236/jhepgc.2019.53038                

Abstract

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.

Keywords

Modied Theories of Gravity, Topological Defects

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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