1993/10/31 by Malik Rakhmanov · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Charged black hole #Cosmology and Gravitation Theories #Dilaton #Electric charge #Electric field #Electric potential #Geometry #Gravitation #Gravitational singularity #Mathematical physics #Mathematics #Naked singularity #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Schwarzschild radius #Symmetry (geometry) #Voltage #hep-th
paper · pdf · doi:10.1103/physrevd.50.5155
published as Phys.Rev.D50:5155-5163,1994 · 20 pages, LaTeX file + 1 figure, CALT-68-1885. (the postscript file is improved)
arxiv created 1993/11/03 · openalex publication_date 1994/10/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
New static spherically symmetric solutions of the Einstein-Maxwell gravity with the dilaton field are found. The solutions correspond to black holes and naked singularities. In addition to mass and electric charge these solutions are labeled by a new parameter, the dilaton charge of the black hole. Depending on the values of electric and dilaton charges there are different types of solutions. The solutions exhibit a new type of a symmetry. Namely one solution transforms into another when the mass and the dilaton charge are interchanged. We also found that there is a finite interval of values of electric charge for which no black hole can exist. This gap separates two different types of solutions. Inside the gap the solution can exist only if the dilaton charge is exactly equal to the negative of the mass. The behavior of the solution in the extremal regime is also analyzed.