New torsion black hole solutions in Poincaré gauge theory

Abstract

We derive a new exact static and spherically symmetric vacuum solution in the framework of the Poincaré gauge field theory with dynamical massless torsion. This theory is built in such a form that allows to recover General Relativity when the first Bianchi identity of the model is fulfilled by the total curvature. The solution shows a Reissner-Nordström type geometry with a Coulomb-like curvature provided by the torsion field. It is also shown the existence of a generalized Reissner-Nordström-de Sitter solution when additional electromagnetic fields and/or a cosmological constant are coupled to gravity.

14 pages, 0 figures, minor changes, references added

References in corpus (4)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Confrontation between General Relativity and Experiment
• Unveiling the Dynamics of the Universe
• Crystal clear lessons on the microstructure of space-time and modified gravity

Cited by in corpus (31)

• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity using Weak Deflection Angle and Shadow Cast
• Black hole solutions in the quadratic Weyl conformal geometric theory of gravity
• Revisiting the Stability of Quadratic Poincaré Gauge Gravity
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Observational Constraints in Metric-Affine Gravity
• New models with independent dynamical torsion and nonmetricity fields
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Extended Reissner-Nordström solutions sourced by dynamical torsion
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
• Generalized Birkhoff theorem in the Poincaré gauge gravity theory
• Birkhoff's theorem for stable torsion theories
• Plebański-Demiański solutions with dynamical torsion and nonmetricity fields
• Singularities and n-dimensional black holes in torsion theories
• Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation
• Rotating Kerr-Newman space-times in Metric-Affine Gravity
• Fermion dynamics in torsion theories
• A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Non-geodesic incompleteness in Poincaré gauge gravity
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Algebraic classification of the gravitational field in Weyl-Cartan space-times
• Symmetries and conserved quantities with arbitrary torsion: A generalization of Killing's theorem
• Extremal Kerr black hole entropy in Poincaré gauge theory
• Self duality in unconventional conformal supersymmetry
• Gravitational lensing by a black hole in Poincar{é} gauge theory of gravity
• Algebraic classification of the gravitational field in general metric-affine geometries
• Near-horizon geometry with torsion: Kerr-AdS black hole
• A gravitational spin-orbit interaction in Poincaré gauge theory
• Wormholes in Poincarè gauge theory of gravity