The Journal of the Indian Mathematical Society

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A Class of Exact Solutions of Einstein Equations in Higher Dimensional Space-Times


Affiliations
1 Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, India
     

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Einstein field equations in a D-dimensional space-time whose t=constant sections have the geometry of a (D-1)-spheroid, immersed in a Euclidean space of D-dimensions, are studied with energy-momentum tensor in the form of a perfect fluid as source term and an exact solution which represents D-dimensional generalisation, of the class of metrics for superdense star obtained by Vaidya and Tikekar, is reported.
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  • A Class of Exact Solutions of Einstein Equations in Higher Dimensional Space-Times

Abstract Views: 318  |  PDF Views: 0

Authors

Ramesh Tikekar
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, India

Abstract


Einstein field equations in a D-dimensional space-time whose t=constant sections have the geometry of a (D-1)-spheroid, immersed in a Euclidean space of D-dimensions, are studied with energy-momentum tensor in the form of a perfect fluid as source term and an exact solution which represents D-dimensional generalisation, of the class of metrics for superdense star obtained by Vaidya and Tikekar, is reported.