Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
arXiv:2402.04503 · doi:10.1103/PhysRevD.109.084039
Abstract
We present a novel asymptotically anti-de Sitter black hole solution with conformally-coupled scalar fields in the first-order formalism of gravity in four dimensions. To do so, we consider a one-parameter extension of conformal transformations by exploiting the fact that the vielbein and spin connection are regarded as independent fields. We solve the field equations analytically and obtain a static black hole solution with nontrivial torsion sourced by the conformal coupling between the scalar field and geometry. The presence of torsion renders the scalar field everywhere regular, while the curvature and torsion singularities coalesce into the origin. We show that this configuration is continuously connected to previously reported solutions in the limit of vanishing torsion and analyze its main properties, focusing on the consequences of the torsional singularity.
References added. Matches published version
References in corpus (29)
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
- Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
- Black holes with non-minimal derivative coupling
- On Taking the limit of Gauss-Bonnet Gravity: Theory and Solutions
- Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
- Black holes in vector-tensor theories
- Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
- From conformal to Einstein Gravity
- Thermodynamics of a BTZ black hole solution with an Horndeski source
- Charged C-metric with conformally coupled scalar field
- Chern-Simons Modified Gravity as a Torsion Theory and its Interaction with Fermions
- Stationary axisymmetric spacetimes with a conformally coupled scalar field
- Axions in gravity with torsion
- Ehlers transformations as a tool for constructing accelerating NUT black holes
- AdS-Taub-NUT spacetimes and exact black bounces with scalar hair
- Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
- Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
- Luminal Propagation of Gravitational Waves in Scalar-tensor Theories: The Case for Torsion
- Conformal renormalization of scalar-tensor theories
- Noether-Wald charges in six-dimensional Critical Gravity
- Conformally coupled scalar in Lovelock theory
- Different types of torsion and their effect on the dynamics of fields
- Chiral Gravitational Waves in Palatini Chern-Simons
- Phase transitions of black strings in dynamical Chern-Simons modified gravity
- Conformal Renormalization of topological black holes in AdS
- Energy functionals from Conformal Gravity
- Slow-rotating charged black hole solution in dynamical Chern-Simons modified gravity
- Extremal Kerr black hole entropy in Poincaré gauge theory