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Static Solutions of the Vlasov-Einstein System

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Abstract:

Static solutions of the SO(3)-symmetric Vlasov-Einstein system are studied via a variational approach. For the constitutive relation of the Emden-Fowler type φ(E,F)≡E σ+ 1 F k we prove the existence of such solutions of sufficiently small mass-energy, provided 0<σ < k+3/2. These solutions are local minimizers of the energy-Casimir functional, subjected to a variational barrier.

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Authors and Affiliations

  1. Department of Mathematics¶Technion, Haifa 32000¶Israel¶e-mail: gershonw@math.technion.ac.il, , , , , , IL

    G. Wolansky

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  1. G. Wolansky
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Accepted July 16, 2000¶Published online January 22, 2001

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Wolansky, G. Static Solutions of the Vlasov-Einstein System. Arch. Rational Mech. Anal. 156, 205–230 (2001). https://doi.org/10.1007/s002050000122

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  • DOI: https://doi.org/10.1007/s002050000122

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