# On black holes in new general relativity

## TL;DR

This paper investigates black hole solutions within New General Relativity, revealing that all viable models exhibit torsion scalar divergences at horizons, challenging their interpretation as black holes.

## Contribution

It demonstrates that physically viable NGR models inevitably have torsion scalar divergences at horizons, questioning their black hole interpretation.

## Key findings

- All viable NGR models show torsion scalar divergences at horizons.
- These divergences obstruct interpreting NGR solutions as black holes.
- The study includes TEGR and 1P-H&S models.

## Abstract

New General Relativity (NGR) is a class of teleparallel theories defined by three free parameters, effectively reduced to two after appropriate normalization, which are subject to experimental constraints. In this framework, matter couples minimally to the metric, ensuring that test particles follow geodesics and that null congruence expansions can be employed to detect local horizons. Assuming such horizons exist, we demonstrate that all physically viable NGR models--including the Teleparallel Equivalent of General Relativity (TEGR) and the one-parameter Hayashi and Shirafuji model (1P-H&S)--inevitably exhibit divergences in torsion scalars at the local horizon. This singular behavior obstructs the interpretation of these models and their associated teleparallel geometries as black hole configurations.