Black holes with torsion hair in cubic Holst-type Poincaré gauge gravity: from singular to regular geometries
Abstract
Motivated by the singularity theorems of Poincaré Gauge (PG) theory, we investigate extensions of the Holst quadratic model by introducing cubic order invariants constructed from the curvature and torsion tensors into the gravitational action. Such models are characterised by a kinetic structure that is governed by a pseudoscalar mode, whereas the remaining irreducible modes of torsion contribute through nonlinear interactions that can have important implications for the space-time geometry. In particular, in line with other well-known models of PG theory, the Birkhoff theorem does not hold in general, allowing for new exact static and spherically symmetric black hole solutions with dynamical torsion. Across the different torsion sectors, corresponding to the irreducible modes and parity components of the torsion field involved in the analysis, we find both singular and regular configurations. Among the singular solutions, we obtain Kiselev-like and Boulware-Deser-like geometries, as well as new geometries with distinct algebraic and Lambert W metric corrections. In addition, we find regular black holes with both primary and secondary torsion hair, which evade the singularity theorems through violations of the causal convergence conditions induced by the nonlinear torsion interactions. Therefore, we show that Holst-type PG models can support a rich variety of black hole geometries, while providing explicit mechanisms for evading the singularity theorems of PG theory.
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BibTeX
@misc{bahamonde2026black,
title = {{Black holes with torsion hair in cubic Holst-type Poincaré gauge gravity: from singular to regular geometries}},
author = {Sebastian Bahamonde and Jorge Gigante Valcarcel and Matteo Magi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08641},
eprint = {2609.08641},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08641},
}
RIS
TY - UNPB
TI - Black holes with torsion hair in cubic Holst-type Poincaré gauge gravity: from singular to regular geometries
AU - Sebastian Bahamonde
AU - Jorge Gigante Valcarcel
AU - Matteo Magi
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08641
UR - https://arxiv.org/abs/2609.08641
AB - Motivated by the singularity theorems of Poincaré Gauge (PG) theory, we investigate extensions of the Holst quadratic model by introducing cubic order invariants constructed from the curvature and torsion tensors into the gravitational action. Such models are characterised by a kinetic structure that is governed by a pseudoscalar mode, whereas the remaining irreducible modes of torsion contribute through nonlinear interactions that can have important implications for the space-time geometry. In particular, in line with other well-known models of PG theory, the Birkhoff theorem does not hold in general, allowing for new exact static and spherically symmetric black hole solutions with dynamical torsion. Across the different torsion sectors, corresponding to the irreducible modes and parity components of the torsion field involved in the analysis, we find both singular and regular configurations. Among the singular solutions, we obtain Kiselev-like and Boulware-Deser-like geometries, as well as new geometries with distinct algebraic and Lambert W metric corrections. In addition, we find regular black holes with both primary and secondary torsion hair, which evade the singularity theorems through violations of the causal convergence conditions induced by the nonlinear torsion interactions. Therefore, we show that Holst-type PG models can support a rich variety of black hole geometries, while providing explicit mechanisms for evading the singularity theorems of PG theory.
ER -