2010/09/30 by F. D. Lora-Clavijo, P. A. Ospina-Henao, Juan F. Pedraza +1
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Boundary value problem #Charged black hole #Classical mechanics #Extremal black hole #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Superposition principle #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevd.82.084005
published as Phys.Rev.D82:084005,2010 · 17 revtex pages, 8 eps figures
arxiv created 2010/10/06 · openalex publication_date 2010/10/06 · arxiv updated 2010/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present the first analytical superposition of a charged black hole with an annular disk of extremal dust. In order to obtain the solutions, we first solve the Einstein-Maxwell field equations for sources that represent disklike configurations of matter in confomastatic spacetimes by assuming a functional dependence among the metric function, the electric potential, and an auxiliary function, which is taken as a solution of the Laplace equation. We then employ the Lord Kelvin inversion method applied to models of finite extension in order to obtain annular disks. The structures obtained extend to infinity, but their total masses are finite and all the energy conditions are satisfied. Finally, we observe that the extremal Reissner-Nordstr"om black hole can be embedded into the center of the disks by adding a boundary term in the inversion.