Planar Symmetry in f(T) gravity

TL;DR

This paper explores exact solutions in generalized teleparallel gravity with torsion, revealing various planar geometries such as Moller, Kattler-Wittaker, and de-Sitter types depending on the action form.

Contribution

It provides new exact solutions in f(T) gravity with planar symmetry, expanding understanding of possible geometries in teleparallel theories.

Findings

Existence of Moller, Kattler-Wittaker, and planar de-Sitter geometries

Different geometries depend on the form of the action

Advances the understanding of solutions in teleparallel gravity

Abstract

Exact solutions for planar Weitzenboch geometries in generalized teleparallel gravity with torsion is presented. The model predicted the existence of Moller, Kattler-Wittaker and planar de-Sitter geometries for different forms of action.