Self-similar relativistic discs with pressure
- 1 September 1989
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 6 (9) , 1219-1230
- https://doi.org/10.1088/0264-9381/6/9/007
Abstract
Solutions for discs in equilibrium specified by a constant velocity of rotation and constant velocity dispersions are found. The fluid is not perfect because the stress tensor is anisotropic. These discs are self-similar if they are of infinite extent. The solutions are exact when an equal number of particles move in each sense of rotation so that there is no dragging of the inertial frames. For discs rotating with a small velocity a WKB approximation is used to obtain solutions.Keywords
This publication has 15 references indexed in Scilit:
- Quasilocal energy in static gravitational fieldsClassical and Quantum Gravity, 1988
- Static axisymmetric discs and gravitational collapseProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1987
- A class of self-similar perfect-fluid spacetimes, and a generalisationClassical and Quantum Gravity, 1987
- Self-similar spatially homogeneous cosmologies: orthogonal perfect fluid and vacuum solutionsClassical and Quantum Gravity, 1986
- Exact power law metrics in cosmologyClassical and Quantum Gravity, 1986
- Self-similar spacetimes: Geometry and dynamicsCommunications in Mathematical Physics, 1974
- Horizons in weyl metrics exhibiting extra symmetriesGeneral Relativity and Gravitation, 1972
- Spherically symmetric similarity solutions of the Einstein field equations for a perfect fluidCommunications in Mathematical Physics, 1971
- A Variational Principle for Rotating Stars in General RelativityThe Astrophysical Journal, 1970
- Singular hypersurfaces and thin shells in general relativityIl Nuovo Cimento B (1971-1996), 1966