Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 19 Núm. 1 (2001): Revista Integración, temas de matemáticas
Artículo Original

Counter-rotating relativistic static thin disks

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  • Omar A. Espitia,
  • Guillermo A. González
Omar A. Espitia
Biografía
Guillermo A. González
Biografía

Cómo citar

Espitia, O. A., & González, G. A. (2001). Counter-rotating relativistic static thin disks. Revista Integración, Temas De matemáticas, 19(1), 1–12. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/740

Resumen

A detailed study of the Counter-Rotating Model (CRM) for generic fi-nite static axially symmetric thin disks with nonzero radial pressure is presented. We find a general constraint over the counter-rotating tan-gential velocities needed to cast the surface energy-momentum tensor of the disk as the superposition of two counter-rotating perfect fluids. We also found expressions for the energy density and pressure of the counter-rotating fluids. Then we shown that, in general, it is not possible to take the two counter-rotating fluids as circulating along geodesics neither take the two counter-rotating tangential velocities as equal and opposite. An specific example is studied where we obtain some CRM with well defined counter-rotating tangential velocities that are agree with the strong en­ergy condition, but there are regions of the disk with negative energy density, in violation of the weak energy condition.

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