Shear as a source of inhomogeneity in general relativistic stellar models
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We investigate the class of spherically symmetric, anisotropic (principal stresses unequal) fluids admitting the existence of a vector field, assumed to be orthogonal to the four velocity of the fluid, and with respect to which the Lie derivative of the metric tensor is proportional to the shear tensor. The physical variables, as well as the evolution equation of the bounday surface, are found for different models.
KeywordsVector Field Evolution Equation Principal Stress Differential Geometry Physical Variable
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