Research and Innovation Articles
Counterrotating Dust Disk Around a Schwarzschild Black Hole: New Fully Integrated Explicit Exact Solution
Keywords
- Classical General Relativity,
- exact solutions,
- self-gravitating systems,
- Einstein equations
How to Cite
Gonzàlez, G. A., & Gutiérrez Piñeres, A. C. (2008). Counterrotating Dust Disk Around a Schwarzschild Black Hole: New Fully Integrated Explicit Exact Solution. Revista Integración, Temas De matemáticas, 26(2), 123–130. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/209
Abstract
The first fully integrated explicit exact solution of Einstein's field equations corresponding to the superposition of a counterrotating dust disk with a central black hole is presented. The obtained solution represents an infinite annular thin disk (a disk with an inner edge) around the Schwarsz-child black hole, and the corresponding to energy-momentum tensor agrees with all the energy conditions. The solution can also be interpreted as des-cribing a thin disk made of two counterrotating dust fluids that are also in agreement with all the energy conditions.
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References
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