A note on classification of proper teleparallel conformal symmetries of spherically symmetric static space-times in the teleparallel theory of gravitation using diagonal tetrads

TL;DR

This paper investigates the existence of proper teleparallel conformal vector fields in spherically symmetric static space-times within teleparallel gravity, concluding that such space-times do not admit these symmetries.

Contribution

It provides a specific analysis of conformal symmetries in teleparallel gravity using diagonal tetrads, extending understanding of symmetry properties in these space-times.

Findings

Spherically symmetric static space-times do not admit proper teleparallel conformal vector fields.

The study employs direct integration technique with diagonal tetrads.

Results contribute to the classification of symmetries in teleparallel gravity.

Abstract

A study of proper teleparallel conformal vector field in spherically symmetric static space-times is given using the direct integration technique and diagonal tetrads. In this study we show that the above space-times do not admit proper teleparallel conformal vector fields.