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Relativistic dynamics of spherical timelike shells

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Abstract

The dynamics of general relativistic timelike spherically symmetric thin shells of matter is considered, putting special emphasis on the physical interpretation of the models and, therefore, on the dependence of the dynamical behavior upon then the choice of the equation of state. From this point of view the general formalism is reviewed both in the Israel’s and in the canonical (Lagrangian and Hamiltonian) approach. Known exact solutions corresponding to closed equations of state are reviewed as well, and a new, wide class of nonlinear barotropic solutions is introduced and discussed in detail.

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Authors and Affiliations

  1. Center for Theoretical Physics, Polish Academy of Sciences, Warsaw, Poland

    J. Kijowski & D. Malafarina

  2. College of Sciences, Cardinal Wyszynski University, Warsaw, Poland

    J. Kijowski

  3. Dipartimento di Matematica, Politecnico di Milano, Milan, Italy

    G. Magli & D. Malafarina

Authors
  1. J. Kijowski
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  2. G. Magli
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  3. D. Malafarina
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Correspondence to J. Kijowski.

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Kijowski, J., Magli, G. & Malafarina, D. Relativistic dynamics of spherical timelike shells. Gen Relativ Gravit 38, 1697–1713 (2006). https://doi.org/10.1007/s10714-006-0323-0

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  • DOI: https://doi.org/10.1007/s10714-006-0323-0

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