General Relativity and Gravitation

, Volume 23, Issue 4, pp 431–454 | Cite as

Shear as a source of inhomogeneity in general relativistic stellar models

  • L. Herrera
  • J. Ibañez
  • A. Di Prisco
Research Articles


We investigate the class of spherically symmetric, anisotropic (principal stresses unequal) fluids admitting the existence of a vector field, assumed to be orthogonal to the four velocity of the fluid, and with respect to which the Lie derivative of the metric tensor is proportional to the shear tensor. The physical variables, as well as the evolution equation of the bounday surface, are found for different models.


Vector Field Evolution Equation Principal Stress Differential Geometry Physical Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Collins, C. B., and Wainwright, J. (1983).Phys. Rev. D,27, 1209.Google Scholar
  2. 2.
    Wyman, M. (1946).Phys. Rev.,70, 396.Google Scholar
  3. 3.
    Mansouri, R. (1977).Ann. Inst. H. Poincaré,A27, 175.Google Scholar
  4. 4.
    Glass, E. N. (1979).J. Math. Phys.,20, 1508.Google Scholar
  5. 5.
    Mashhoon, B., and Partovi, M. H. (1980).Ann. Phys. (N.Y.),130, 99.Google Scholar
  6. 6.
    Thompson, I., and Whitrow, G. (1967).Mon. Not. R. Astron. Soc.,136, 207.Google Scholar
  7. 7.
    Landau, L., and Lifshitz, E. (1951).The Classical Theory of Fields, (Addison-Wesley, Reading, Mass.).Google Scholar
  8. 8.
    Misner, C., and Sharp, D. (1964).Phys. Rev.,B136, 571.Google Scholar
  9. 9.
    Lemaître, G. (1933).Ann. Soc. Sci. Bruxelles, ser. 1,A53, 97.Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • L. Herrera
    • 1
    • 2
  • J. Ibañez
    • 1
  • A. Di Prisco
    • 2
  1. 1.Departamento de Fisica, Facultad de CienciasUniversidad de las Islas BalearesSpain
  2. 2.Departamento de Física, Facultad de CienciasUniversidad Central de VenezualaCaracasVenezuala

Personalised recommendations