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Astrophysics and Space Science

, Volume 57, Issue 1, pp 203–217 | Cite as

The configuration of a thin, rotating self-similar disk in general relativity

  • Paul S. Wesson
  • A. Lermann
Article

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 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=αc2/4πGr, ω=βc/r, and demands that α and β be pure numbers.

Keywords

Differential Equation General Relativity Angular Velocity Ordinary Differential Equation Surface Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1978

Authors and Affiliations

  • Paul S. Wesson
    • 1
  • A. Lermann
    • 2
  1. 1.St John's CollegeCambridge UniversityEngland
  2. 2.Oslo UniversityNorway

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