Exact solutions for the Tikekar superdense star.

Details Exact solutions for the Tikekar superdense star. Exact solutions for the Tikekar superdense star.

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jmp....37..430m&link_type=abstract

Journal of Mathematical Physics, Vol. 37, No. 1, p. 430 - 437

Mathematics

Mathematical Physics

22

Superdense Matter: Stars

Scientific paper

The authors analyze a relativistic model for superdense stars proposed by R. Tikekar (52.067.099). In this model the hypersurfaces generated by {t=const} have the geometry of the 3-spheroid which gives the solutions a clear geometrical characterization. The solution of the Einstein field equations is reduced to integrating a second order ordinary differential equation. New classes of solutions are presented by restricting the choice of the spheroidal parameter K so that polynomial solutions are admitted for the first solution and then the authors find that there exists another solution which is a product of polynomials and algebraic functions. A remarkable feature of the class of solutions generated is that they are expressible completely in terms of polynomials and algebraic functions. Some physical aspects of the solutions are briefly considered. The authors regain the Tikekar solution as a special case when K = -7. As another example they explicitly present the form of the solution when K = -2.

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