Counterrotating Dust Disk Around a Schwarzschild Black Hole: New Fully Integrated Explicit Exact Solution - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: The first fully integrated explicit exact solution of the Einstein fieldequations corresponding to the superposition of a counterrotating dust diskwith a central black hole is presented. The obtained solution represents aninfinite annular thin disk a disk with an inner edge around the Schwarszchildblack hole. The mass of the disk is finite and the energy-momentum tensoragrees with all the energy conditions. Furthermore, the total mass of the diskwhen the black hole is present is less than the total mass of the disk alone.The solution can also be interpreted as describing a thin disk made of twocounterrotanting dust fluids that are also in agreement with all the energyconditions. Additionally, as we will show shortly in a subsequent paper, theabove solution is the first one of an infinite family of solutions.



Author: Guillermo A. González, Antonio C. Gutiérrez-Piñeres

Source: https://arxiv.org/



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