Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 79, Issue 3, Pages 501-509Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-012-0323-4
Keywords
Gravitational collapse; Einstein's field equations; spheroidal geometry; relativistic star
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Funding
- IUCAA, Pune, India
- UGC of India
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We examine the role of space-time geometry in the non-adiabatic collapse of a star dissipating energy in the form of radial heat flow, studying its evolution under different initial conditions. The collapse of a star filled with a homogeneous perfect fluid is compared with that of a star filled with inhomogeneous imperfect fluid under anisotropic pressure. Both the configurations are spherically symmetric. However, in the latter case, the physical space t = constant of the configurations endowed with spheroidal or pseudospheroidal geometry is assumed to be inhomogeneous. It is observed that as long as the collapse is shear-free, its evolution depends only on the mass and size of the star at the onset of collapse.
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