Exact model for a gaseous regular bouncing sphere in general relativity
An exact model for a relativistic gaseous sphere (i.e., one whose density rho vanishes at the outer boundary of the nonstatic sphere together with the pressure rho) is given. The model has a bounce: The collapsing sphere comes momentarily to rest when the boundary is still outside the Schwarzschild radius of the matter sphere, then there is a macroscopic bounce, and the matter of the expanding sphere spreads all over the universe. This bouncing solution of Einstein's field equations is physically valid at any moment, i.e., the pressure and the density are positive inside the fluid sphere, and there respective gradients are negative. The mass function is positive, and the circumference is an increasing function of radial coordinate. This solution may represent an easily surveyable model for a supernova explosion where the explosion is so violent that no remnant whatsoever is left.
- Research Organization:
- Nordita, Copenhagen (Denmark)
- OSTI ID:
- 5378450
- Journal Information:
- Int. J. Theor. Phys.; (United States), Vol. 26:9
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fluid spheres of uniform density in general relativity
Gauss-Tolman theorem and positivity of the total mass--energy for a nonstatic sphere in the general theory of relativity
Related Subjects
GENERAL PHYSICS
STAR MODELS
EXPLOSIONS
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
SCHWARZSCHILD RADIUS
BLACK HOLES
COSMIC GASES
DENSITY
EINSTEIN FIELD EQUATIONS
METRICS
PRESSURE GRADIENTS
STAR EVOLUTION
STELLAR ATMOSPHERES
STELLAR RADIATION
SUPERNOVAE
ATMOSPHERES
EQUATIONS
ERUPTIVE VARIABLE STARS
FIELD EQUATIONS
FIELD THEORIES
FLUIDS
GASES
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
STARS
VARIABLE STARS
640106* - Astrophysics & Cosmology- Cosmology