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Varieties of new classes of interior solutions in general relativity

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Abstract

In this paper we present a method of obtaining varieties of new classes of exact solutions representing static balls of perfect fluid in general relativity. A number of previously known classes of solutions has been rediscovered in the process. The method indicates the possibility of constructing a plethora of new physically significant models of relativistic stellar interiors with equations of state fairly applicable to the case of extremely compressed stars. To emphasize our point we have derived two new classes of solutions and discussed their physical importance. From the solutions of these classes we have constructed three causal interiors out of which in two models the outward march of pressure, density, pressure-density ratio and the adiabatic sound speed is monotonically decreasing.

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Authors and Affiliations

  1. Department of Mathematics, Kumaun University, Nainital, India

    D. N. Pant

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  1. D. N. Pant
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Pant, D.N. Varieties of new classes of interior solutions in general relativity. Astrophys Space Sci 215, 97–109 (1994). https://doi.org/10.1007/BF00627463

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  • DOI: https://doi.org/10.1007/BF00627463

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