2021/04/20 by Pablo Bueno, Pablo A. Cano, Javier Moreno +1 · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Conical surface #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Curvature #Einstein #Geometry #Gravitational singularity #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Singularity #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.104.l021501
published as Phys. Rev. D 104, 021501 (2021) · 11 pages, 2 figures
arxiv created 2021/04/20 · openalex publication_date 2021/07/01 · arxiv updated 2021/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field \ensuremathφ which always admits a magneticlike expression proportional to the angular coordinate. The new metrics, which satisfy gttgrr=\ensuremath-1 and represent continuous generalizations of the Ba\~nados-Teitelboim-Zanelli (BTZ) one, solve the equations of Einstein gravity corrected by a new family of densities (controlled by unconstrained couplings) constructed from positive powers of (\ensuremath∂\ensuremathφ)2 and certain linear combinations of Rab\ensuremath∂a\ensuremathφ\ensuremath∂b\ensuremathφ and (\ensuremath∂\ensuremathφ)2R. Some of the solutions obtained describe black holes with one or several horizons. A set of them possesses curvature singularities, while others have conical or BTZ-like ones. Interestingly, in some cases the black holes have no singularity at all, being completely regular. Some of the latter are achieved without any kind of fine-tuning or constraint between the action parameters and/or the physical charges of the solution. An additional class of solutions describes globally regular and horizonless geometries.