Definition of Good Tetrads for f(T) Gravity

TL;DR

This paper defines 'good tetrads' in f(T) gravity that satisfy field equations without constraining the function f(T), aiding in finding exact solutions especially under spherical symmetry.

Contribution

It introduces a systematic way to identify suitable tetrads in f(T) gravity, facilitating the study of exact solutions without restrictions on f(T).

Findings

Good tetrads can be constructed for Schwarzschild-de Sitter solutions.

Local Lorentz transformations help find tetrads satisfying field equations.

The approach simplifies the search for exact solutions in f(T) gravity.

Abstract

The importance of choosing suitable tetrads for the study of exact solutions in f(T) gravity is discussed. For any given metric, we define the concept of good tetrads as the tetrads satisfying the field equations without constrainig the function f(T). Employing local Lorentz transformations, good tetrads in the context of spherical symmetry are found for Schwarzschild-de Sitter solutions.