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Interior solution for a translating cylinder of matter

In: Physical and Mathematical Aspects of Symmetries

Author

Listed:
  • Pedro Henrique Meert Ferreira

    (Rua São Francisco Xavier)

  • Maria de Fátima Alves da Silva

    (Rua São Francisco Xavier)

Abstract

Solutions to Einstein’s Field Equations with cylindrical symmetry have drawn much attention because they are significantly different from what the Newtonian picture predicts. Solutions of this kind are widely known and many caseshave been studied. In particular, Van Stockum spacetime describes the interior of a cylinder with rotating dust; this solution is known to satisfy junction conditions with Lewis spacetime, which is the solution to the exterior part, i.e., gravitational field produced in vacuum by a rotating cylinder. We notice that the Van Stockum line element has a symmetry between its axial and angular coordinates; such a metric allows us to study a cylinder with a fluid moving along the axis of symmetry. We are currently studying this solution, and here we present some consequences such as the equation of state that the fluid should satisfy as well as energy conditions.

Suggested Citation

  • Pedro Henrique Meert Ferreira & Maria de Fátima Alves da Silva, 2017. "Interior solution for a translating cylinder of matter," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 391-392, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_61
    DOI: 10.1007/978-3-319-69164-0_61
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