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General spherically symmetric elastic stars in relativity

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An Erratum to this article was published on 01 December 2011

Abstract

The relativistic theory of elasticity is reviewed within the spherically symmetric context with a view towards the modeling of star interiors possessing elastic properties such as the ones expected in neutron stars. Emphasis is placed on generality in the main sections of the paper, and the results are then applied to specific examples. Along the way, a few general results for spacetimes admitting isometries are reviewed, and their consequences are fully exploited in the case of spherical symmetry relating them next to the the case in which the material content of the spacetime is some elastic material. Specific examples are provided satisfying the dominant energy condition and admitting a constitutive equation, including a static two-layer star ‘toy model’ consisting of an elastic core surrounded by a perfect fluid corresponding to the interior Schwarzschild solution matched to the vacuum Schwarzschild solution. This paper extends and generalizes the pioneering work by Magli and Kijowski (Gen Relat Gravit 24:139, 1992), Magli (Gen Relat Gravit 25:1277, 1993; 25:441, 1993), and complements, in a sense, that by Karlovini and Samuelsson in their interesting series of papers (Karlovini and Samuelsson in Class Quantum Grav 20:363, 2003; 21:1559, 21:4531, 2004).

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References

  1. Karlovini M., Samuelsson L.: Class. Quantum Grav. 20, 3613 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Herrera L.A. et al.: Phys. Rev. D 69, 084026 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  3. Magli G., Kijowski J.: Gen. Relativ. Gravit. 24, 139 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  4. Magli G.: Gen. Relativ. Gravit. 25, 1277 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  5. Park J.: Gen. Relativ. Gravit. 32, 235 (2000)

    Article  MATH  ADS  Google Scholar 

  6. Beig R., Schmidt B.G.: Class. Quantum Grav. 20, 889 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Vaz E.G.L.R., Brito I.: Gen. Relativ. Gravit. 40, 1947 (2008)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Kijowski J., Magli G.: J. Geom. Phys. 9, 207 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Belinfante F.: Physica 7, 449 (1940)

    Article  ADS  MathSciNet  Google Scholar 

  10. Rosenfeld L.: Acad. Roy. Belg. 18, 1 (1940)

    MathSciNet  Google Scholar 

  11. Kijowski J., Magli G.: Preprint CPT-Luminy, 32/94, Marseille (1994)

  12. Kramer, D., Stephani, H., Hoenselaers, C., MacCallum, M.A.H., Herlt, H.: Exact Solutions of Einstein’s Field Equations, 2nd edn. Cambridge University Press, Oxford (2003)

  13. Carot J., Núnez L.: Phys. Rev. D 72, 084005 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  14. Fayos F., Senovilla J.M.M., Torres R.: Phys. Rev. D 54, 4862 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  15. Carot J., Tupper B.O.J.: Phys. Rev. D 59, 124017 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  16. Magli G.: Class. Quantum Grav. 15, 3215 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Magli G.: Gen. Relativ. Gravit. 25, 441 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Karlovini M., Samuelsson L.: Class. Quantum Grav. 21, 1559 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. Karlovini M., Samuelsson L.: Class. Quantum Grav. 21, 4531 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento de Matemática para a Ciência e Tecnologia, Universidade do Minho, Guimarães, Portugal

    J. Carot

  2. Departament de Física, Universitat de les Illes Balears, Cra Valldemossa pk 7.5, 07122, Palma de Mallorca, Spain

    I. Brito & E. G. L. R. Vaz

Authors
  1. I. Brito
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  2. J. Carot
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  3. E. G. L. R. Vaz
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Correspondence to E. G. L. R. Vaz.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s10714-011-1300-9

An erratum to this article is available at http://dx.doi.org/10.1007/s10714-011-1300-9.

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Brito, I., Carot, J. & Vaz, E.G.L.R. General spherically symmetric elastic stars in relativity. Gen Relativ Gravit 42, 2357–2382 (2010). https://doi.org/10.1007/s10714-010-0980-x

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  • DOI: https://doi.org/10.1007/s10714-010-0980-x

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