78 citations · 236 across the 16 of their papers we have counts for
16 papers
A Generalized Family of Post-Newtonian Dedekind Ellipsoids
Norman Gürlebeck, David Petroff
We derive a family of Post-Newtonian (PN) Dedekind ellipsoids to first order. They describe non-axially symmetric, homogeneous, and rotating figures of equilibrium. The sequence of…
The Axisymmetric Case for the Post-Newtonian Dedekind Ellipsoids
Norman Gürlebeck, David Petroff
We consider the post-Newtonian approximation for the Dedekind ellipsoids in the case of axisymmetry. The approach taken by Chandrasekhar & Elbert (1974, 1978) excludes the possibil…
Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity
Stefan Horatschek, David Petroff
In this paper uniformly rotating relativistic rings are investigated analytically utilizing two different approximations simultaneously: (1) an expansion about the thin ring limit…
Non-axisymmetric configurations in the post-Newtonian Approximation to General Relativity
Norman Gürlebeck, David Petroff
We use surface adapted ellipsoidal coordinates to obtain a first order post-Newtonian (PN) approximation to Dedekind ellipsoids with the intention of proceeding to higher orders.
A Roche Model for Uniformly Rotating Rings
Stefan Horatschek, David Petroff
A Roche model for describing uniformly rotating rings is presented and the results are compared with numerical solutions to the full problem for polytropic rings. In the thin ring…
Uniformly Rotating Homogeneous and Polytropic Rings in Newtonian Gravity
David Petroff, Stefan Horatschek
An analytical method is presented for treating the problem of a uniformly rotating, self-gravitating ring without a central body in Newtonian gravity. The method is based on an exp…