Interior solution for a translating cylinder of matter

Pedro Henrique Meert Ferreira () and Maria de Fátima Alves da Silva ()
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Pedro Henrique Meert Ferreira: Rua São Francisco Xavier
Maria de Fátima Alves da Silva: Rua São Francisco Xavier

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 391-392 from Springer

Abstract: 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_61

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DOI: 10.1007/978-3-319-69164-0_61

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