Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-02-14
J. Math. Phys. 50: 022502, 2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, to appear in J. Math. Phys
Scientific paper
10.1063/1.3076901
We study the gravitational behaviour of a spherically symmetric radiating star when the fluid particles are in geodesic motion. We transform the governing equation into a simpler form which allows for a general analytic treatment. We find that Bernoulli, Riccati and confluent hypergeometric equations are possible. These admit solutions in terms of elementary functions and special functions. Particular models contain the Minkowski spacetime and the Friedmann dust spacetime as limiting cases. Our infinite family of solutions contains specific models found previously. For a particular metric we briefly investigate the physical features, derive the temperature profiles and plot the behaviour of the casual and acasual temperatures.
Maharaj Sunil D.
Thirukkanesh S.
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