Shear-free gravitational collapse
- 1 July 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (7) , 1508-1513
- https://doi.org/10.1063/1.524210
Abstract
Spherically symmetric perfect fluids are studied under the restriction of shear‐free motion. All solutions of the field equations are found by solving a single second order nonlinear equation containing an arbitrary function. It is shown that this arbitrary function is a geometric invariant, E, which measures the gravitational field energy, and it is shown that E=const generates all the homogeneous density solutions. An improved proof is given for the nonexistence of any one‐parameter equation of state. A number of exact solutions are presented and discussed.Keywords
This publication has 11 references indexed in Scilit:
- On a spherical star system with a collapsed coreThe Astrophysical Journal, 1976
- Non-Static Fluid Spheres in General RelativityProgress of Theoretical Physics, 1969
- Gravitational Bounce in General RelativityMonthly Notices of the Royal Astronomical Society, 1969
- On a Class of Non-Static Fluid Spheres without Energy FlowProgress of Theoretical Physics, 1968
- Exact Solutions for Oscillating Spheres in General RelativityMonthly Notices of the Royal Astronomical Society, 1967
- A Simple Model for Gravitational Collapse with Pressure GradientProgress of Theoretical Physics, 1967
- Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational CollapsePhysical Review B, 1964
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962
- Equations of State for Radially Symmetric Distributions of MatterPhysical Review B, 1946
- The Mass-Particle in an Expanding UniverseMonthly Notices of the Royal Astronomical Society, 1933