The configuration of a thin,rotating self-similar disk in general relativity |
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| Authors: | Paul S Wesson A Lermann |
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| Institution: | (1) St John's College, Cambridge University, England;(2) Oslo University, Norway |
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| Abstract: | Einstein's equations for a rotating pressure-free space-time are reduced to a system of four first-order non-linear ordinary differential equations in one self-similar dimensionless variable. Numerical results are given for the vacuum solution. A compatible thin disk can be specified by a surface density  and an angular velocity  . Self-similarity as a statement of the absence of scales implies that and can be written as= c
2/4 Gr, = c/r, and demands that and be pure numbers. |
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