Stellar models with generalized polytropic equation of state

We find new classes of exact solutions to the Einstein field equations where the matter distribution satisfies a generalized polytropic equation of state. The matter distribution is uncharged with anisotropic pressures. Equations of state for polytropes and quark matter are contained as special case...

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Bibliographic Details
Published in:New astronomy 2022-11, Vol.97, p.101852, Article 101852
Main Authors: Maharaj, S.D., Kileba Matondo, D.
Format: Article
Language:English
Subjects:
Compact objects
Einstein equations
Generalized polytropes
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Summary:We find new classes of exact solutions to the Einstein field equations where the matter distribution satisfies a generalized polytropic equation of state. The matter distribution is uncharged with anisotropic pressures. Equations of state for polytropes and quark matter are contained as special cases. The matter variables and metric potentials can be obtained explicitly. Known solutions, for the choice of the gravitational potential made in this analysis, arise as special cases for particular choice of the equation of state parameters. A detailed physical analysis indicates that the model is well behaved. •Compact stars with a generalized polytropic equation (PEOS) of state are found.•The conventional PEOS is extended to describe an anisotropic gravitating body.•Admixed structures with nuclear matter and quark matter are described.•Four polytropic families of the Einstein field equations are found. .
ISSN:1384-1076
1384-1092
DOI:10.1016/j.newast.2022.101852