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Anisotropic fluid sphere in general relativity

Author:

Prof. Dudheshwar Mahto and Dr. Bakshi Om Prakash Sinha

Subject Area:

Physical Sciences and Engineering

Abstract:

Einstein’s field equations for static field sphere with anisotropic pressure can be fixed exact. The solution is free from singularity and density of the fluid sphere drops continuously from its maximum value at the centre to the value which is positive at the boundary. The solution may be used in describing ultra compact objects also. If we choose the equation of state Pr = Pḻ, then in this case we obtain the well known Schwarzschild interior solution.

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