251. Rotating mass shells with flat interiors
- Author
-
Herbert Pfister
- Subjects
Physics ,Classical mechanics ,Theory of relativity ,Physics and Astronomy (miscellaneous) ,Gravitational field ,Mass distribution ,Einstein field equations ,Differential rotation ,Boundary value problem ,Rotation ,Flatness (cosmology) - Abstract
Rotating mass shells with flat interiors are of interest with respect to the definition of a gravitational field energy density and with respect to the question of relativity of rotation. Previous work on quasispherical rotating mass shells is extended to more general shell shapes. An analysis of the Dirichlet problem for the stationary Einstein equations-which is of considerable interest by itself-shows that for a given non-spherical shell shape in general no mass distribution and no degree of differential rotation on it can realise flatness in the interior. This is explicitly proven in the lowest order of the 'rotation parameter' for mass shells which deviate infinitesimally from a sphere.
- Published
- 1989
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