Kerr geometry in f(T) gravity

TL;DR

This paper demonstrates that Kerr black hole solutions persist in a broad class of f(T) gravity theories using null tetrads, highlighting the robustness of Kerr geometry beyond General Relativity.

Contribution

It proves that Kerr geometry remains a solution in many f(T) gravity models using null tetrads, extending the understanding of black hole solutions in modified teleparallel gravity.

Findings

Kerr geometry is a solution in many f(T) gravity theories.

Null tetrads are effective tools in analyzing solutions in teleparallel gravity.

The results support the stability of Kerr solutions in modified gravity contexts.

Abstract

Null tetrads are shown to be a valuable tool in teleparallel theories of modified gravity. We use them to prove that Kerr geometry remains a solution for a wide family of f(T) theories of gravity.