Uniformly Rotating Rings in General Relativity
arXiv:gr-qc/0506105 · doi:10.1111/j.1365-2966.2005.09629.x
Abstract
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 state describing the fluid matter we consider polytropic as well as completely degenerate, perfect Fermi gas models. We find that the corresponding configurations possess similar properties to the homogeneous relativistic Dyson rings. On the one hand, there exists no limit to the mass for a given maximal mass-density inside the body. On the other hand, each model permits a quasistationary transition to the extreme Kerr black hole.
6 pages, 4 figures, added material and one new reference
References in corpus (7)
- General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
- Highly accurate calculation of rotating neutron stars: Detailed description of the numerical methods
- Uniformly rotating axisymmetric fluid configurations bifurcating from highly flattened Maclaurin spheroids
- Relativistic Dyson Rings and Their Black Hole Limit
- Equilibrium Configurations of Homogeneous Fluids in General Relativity
- Quasistationary collapse to the extreme Kerr black hole
- Maximal mass of uniformly rotating homogeneous stars in Einsteinian gravity
Cited by in corpus (13)
- On the Solution Space of Differentially Rotating Neutron Stars in General Relativity
- On the black hole limit of rotating fluid bodies in equilibrium
- On Axisymmetric and Stationary Solutions of the Self-Gravitating Vlasov System
- Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity
- Orbital perturbations due to massive rings
- On the black hole limit of rotating discs and rings
- Uniformly Rotating Polytropic Rings in Newtonian Gravity
- Uniformly Rotating Homogeneous and Polytropic Rings in Newtonian Gravity
- The Parametric Transition of Strange Matter Rings to a Black Hole
- Uniformly Rotating Homogeneous Rings in post-Newtonian Gravity
- A Roche Model for Uniformly Rotating Rings
- Ergoregion instability in bosonic stars: scalar mode structure, universality, and weakly nonlinear effects
- Gravitational collapse in the vicinity of the extremal black hole critical point