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The stability of static uncharged spheres with anisotropic internal stressesis studied in general relativity. It has been noticed that pressure anisotropyplays an important role for stability of stellar structure. It is shown thatradial profile of the stress anisotropy can be considered to decide potentiallystable/unstable regions. Finally, pontentially stable/unstable regions of twoknown models of relativistic star have been examined.

Cracking and Stability of Non-Rotating Relativistic Spheres with Anisotropic Internal Stresses