A variational approach to relativistic fluid balls


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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The authors are grateful to Simon Brendle, Gerhard Huisken, Frank Loose, Herbert Pfister, and Urs Schaudt for helpful conversations.

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Correspondence to Joachim von Below.

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von Below, J., Kaul, H. A variational approach to relativistic fluid balls. Calc. Var. 60, 31 (2021). https://doi.org/10.1007/s00526-020-01898-z

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Mathematics Subject Classification

  • 83C05
  • 35R35
  • 74G65