Charged annular disks and Reissner-Nordstroem type black holes from extremal dust

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.084005· OSTI ID:21433008

Lora-Clavijo, F D ^[1]; Ospina-Henao, P A ^[2]; Pedraza, J F ^[3]

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1. Instituto de Fisica y Matematicas, Universidad Michoacana de San Nicolas de Hidalgo, Edificio C-3, Ciudad Universitaria, A. P. 2-82, 58040 Morelia, Michoacan (Mexico)
2. Universidad Santo Tomas, Carrera 18 No. 9 - 27 PBX 6 800 801, Bucaramanga (Colombia)
3. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico Distrito Federal 04510 (Mexico)

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-Nordstroem black hole can be embedded into the center of the disks by adding a boundary term in the inversion.

• OSTI ID: 21433008
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 8; Other Information: DOI: 10.1103/PhysRevD.82.084005; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMIC DUST
EINSTEIN-MAXWELL EQUATIONS
ELECTRIC POTENTIAL
FIELD EQUATIONS
LAPLACE EQUATION
MASS
MATHEMATICAL SOLUTIONS
MATTER
METRICS
SPACE-TIME
DIFFERENTIAL EQUATIONS
DUSTS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS