2012/04/30 by Hideki Maeda · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #Klein–Gordon equation #Mathematical physics #Mathematics #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #Wormhole #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.86.044016
published as Phys. Rev. D86 (2012) 044016 · 11 pages, 2 figures, 2 tables; v2, results strengthened, argument on trapping horizon corrected; v3, argument on locally AdS property added, accepted for publication in Physical Review D
arxiv created 2012/08/04 · openalex publication_date 2012/08/08 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present several classes of exact solutions in the Einstein-Klein-Gordon system with a cosmological constant. The spacetime has spherical, plane, or hyperbolic symmetry and the higher-dimensional solutions are obtained in a closed form only in the plane symmetric case. Among them, the class-I solution represents an asymptotically locally anti-de Sitter (AdS) dynamical black hole or wormhole. In four and higher dimensions, the generalized Misner-Sharp quasilocal mass blows up at AdS infinity, inferring that the spacetime is only locally AdS. In three dimensions, the scalar field becomes trivial and the solution reduces to the Ba\~nados-Teitelboim-Zanelli black hole.