18 citations · 41 across the 6 of their papers we have counts for
6 papers
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…
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…
Uniformly Rotating Polytropic Rings in Newtonian Gravity
David Petroff, Stefan Horatschek
An iterative method is presented for solving the problem of a uniformly rotating, self-gravitating ring without a central body in Newtonian gravity by expanding about the thin ring…
Uniformly Rotating Homogeneous Rings in Newtonian Gravity
Stefan Horatschek, David Petroff
In this paper, we describe an analytical method for treating uniformly rotating homogeneous rings without a central body in Newtonian gravity. We employ series expansions about the…
Uniformly Rotating Rings in General Relativity
Thomas Fischer, Stefan Horatschek, Marcus Ansorg
In this paper, we discuss general relativistic, self-gravitating and uniformly rotating perfect fluid bodies with a toroidal topology (without central object). For the equations of…