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Space-time inhomogeneity, anisotropy and gravitational collapse. (English) Zbl 1255.83091
Summary: We investigate the evolution of non-adiabatic collapse of a shear-free spherically symmetric stellar configuration with anisotropic stresses accompanied with radial heat flux. The collapse begins from a curvature singularity with infinite mass and size on an inhomogeneous space-time background. The collapse is found to proceed without formation of an even horizon to singularity when the collapsing configuration radiates all its mass energy. The impact of inhomogeneity on various parameters of the collapsing stellar configuration is examined in some specific space-time backgrounds.

MSC:
83C75 Space-time singularities, cosmic censorship, etc.
83F05 Cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory
80A10 Classical and relativistic thermodynamics
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