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Journal Articles Calculus of Variations and Partial Differential Equations Year : 2021

A variational approach to relativistic fluid balls

Abstract

This paper deals with spherically symmetric static solutions of the relativistic field equation which represents a perfect fluid ball with given equation of state and given baryon number. We prove existence of solutions for baryon numbers that do not exceed a limiting number determined by the equation of state. The proof is based on energy minimization under the given baryon number constraint.
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Dates and versions

hal-04356040 , version 1 (20-12-2023)

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Helmut Kaul, Joachim von Below. A variational approach to relativistic fluid balls. Calculus of Variations and Partial Differential Equations, 2021, 60 (1), pp.31. ⟨10.1007/s00526-020-01898-z⟩. ⟨hal-04356040⟩
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