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2012•AIP conference proceedingsRequires access

Matching a static cylindrically symmetric elastic spacetime

Irene Brito, J. Carot, Filipe C. Mena, E. G. L. R. Vaz

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Abstract

We consider a static cylindrically symmetric spacetime with elastic matter and study the matching problem of this spacetime with a suitable exterior. For the exterior, we take the Levi-Civita spacetime and its generalization including a cosmological constant, the Linet-Tian spacetime. We show that the matching is only possible with the Linet-Tian solution.

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What this paper is about

We consider a static cylindrically symmetric spacetime with elastic matter and study the matching problem of this spacetime with a suitable exterior. For the exterior, we take the Levi-Civita spacetime and its generalization including a cosmological constant, the Linet-Tian spacetime. We show that the matching is only possible with the Linet-Tian solution.

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Available abstract

We consider a static cylindrically symmetric spacetime with elastic matter and study the matching problem of this spacetime with a suitable exterior. For the exterior, we take the Levi-Civita spacetime and its generalization including a cosmological constant, the Linet-Tian spacetime. We show that the matching is only possible with the Linet-Tian solution.

Key concepts: Spacetime, Spherically symmetric spacetime, Stationary spacetime, Matching (statistics), Physics, Generalization, Spacetime symmetries, Classical mechanics

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