The Configuration of a Thin, Rotating Self-Similar Disk in General Relativity

Details The Configuration of a Thin, Rotating Self-Similar Disk in General Relativity The Configuration of a Thin, Rotating Self-Similar Disk in General Relativity

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..57..203w&link_type=abstract

Astrophysics and Space Science, Volume 57, Issue 1, pp.203-217

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

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 σ and an angular velocity ω. Self-similarity as a statement of the absence of scales implies that σ and ω can be written asσ=αc 2/4πGr, ω=βc/r, and demands that α and β be pure numbers.

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