摘要
Exact solutions to the Einstein field equations for class I spacetime symmetry in relativistic stars are generated.The symmetry provides a relation between the gravitational potentials that lead to generalized solutions of the Einstein field equations.We choose one of the gravitational potentials on a physical basis,which allows us to obtain the other gravitational potential via an embedding approach.It is therefore possible to generate a model with astrophysical significance.The model generated satisfies physical properties like stability,causality,regularity,equilibrium and energy conditions.
基金
the University of Dodoma in Tanzania for the continuous support and encouragement to complete this research work
the Ministry of Education,Science and Technology of Tanzania for sponsorship
the South African Research Chair Initiative of the Department of Science and Technology and the National Research Foundation that facilitate the research funding。