TITLE:
On an Exact Cylindrically Symmetric Solution in a Born-Infeld Type Theory of Gravity
AUTHORS:
Tiago de Oliveira Rosa, Maria Emilia Xavier Guimarães, Joaquim Lopes Neto
KEYWORDS:
Modi ed Theories of Gravity, Topological Defects
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.5 No.3,
June
17,
2019
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.