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General Relativity and Gravitation

, Volume 44, Issue 10, pp 2645–2667 | Cite as

Cylindrically symmetric relativistic fluids: a study based on structure scalars

  • L. Herrera
  • A. Di Prisco
  • J. Ospino
Research Article

Abstract

Applying the 1 + 3 formalism we write down the full set of equations governing the structure and the evolution of self-gravitating cylindrically symmetric dissipative fluids with anisotropic stresses, in terms of scalar quantities obtained from the orthogonal splitting of the Riemann tensor (structure scalars), in the context of general relativity. These scalars which have been shown previously (in the spherically symmetric case) to be related to fundamental properties of the fluid distribution, such as: energy density, energy density inhomogeneity, local anisotropy of pressure, dissipative flux, active gravitational mass etc, are shown here to play also a very important role in the dynamics of cylindrically symmetric fluids. It is also shown that in the static case, all possible solutions to Einstein equations may be expressed explicitly through three of these scalars.

Keywords

Relativistic fluids Cylindrically symmetric systems Dissipative fluids Causal dissipative theories 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Departamento de Física Teórica e Historia de la CienciaUniversidad del País VascoCaracasVenezuela
  2. 2.U.C.V.CaracasVenezuela
  3. 3.Departamento de Matemática AplicadaUniversidad de SalamancaSalamancaSpain

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