Abstract
The influence of viscosity on the gravitational collapse in radiating fluid spheres is investigated. The interior solution is matched with the Vaidya metric at the boundary of the fluid distribution. Prescribing an equation of state to take into account the degree of induced anisotropy by the viscosity and using the Herrera, Jiménez and Ruggeri method, we obtain an explicit Tolman VI-like exploding model. The sphere explodes more violently when the anisotropy due to the viscosity is smaller. The shear viscosity diminishes with the expansion of the distribution of matter.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Arnett, W.: 1977,Astrophys. J. 218, 315.
Barreto, W., Herrera, L. and N. Santos: 1992,Astroph. Space Sci. 187, 271.
Bhete, H.: 1982, in: M. Rees and R. Stoneham (eds.),Supernovae: A Survey of Current Research, D. Reidel Publishing Company, Dordrecht.
Bondi, H.: 1964,Proc. R. Soc. London.A 281, 39.
Brown, G.: 1982, in: M. Rees and R. Stoneham (eds.),Supernovae: A Survey of Current Research, D. Reidel Publishing Company, Dordrecht.
Carter, B.: 1988, in: C.V. Vishveshwara (ed.),Proc. Int. Conf. on Gravitation and Cosmology, Cambridge Univ. Press, Cambridge.
Cosenza, M., Herrera, L., Jimenez, J., Esculpi, M. and Witten, L.: 1982,Phys. Rev. D25, 2527.
Eckart, C.: 1940,Phys. Rev. 58, 919.
Herrera, L. and Jiménez, J.: 1983,Phys. Rev. D28, 2987.
Herrera, L., Jiménez, J. and Barreto, W.: 1989,Can. J. Phys. 67, 855.
Herrera, L., Jiménez, J. and Esculpi, M.: 1987,Phys. Rev. D36, 2986.
Herrera, L., Jiménez, J. and Ruggeri, G.: 1980,Phys. Rev. D 22, 2305.
Israel, W. and Stewart, J.: 1980, in:General Relativity and Gravitation: One Hundred Years after the Birth of Albert Einstein, Vol. 2 ed. A. Held, Plenum Press, New York.
Kazanas, D.: 1978,Astrophys. J. L109.
Kazanas, D., and Schramm, D.: 1979, in:Sources of Gravitational Radiation, L. Smarr (ed.), Cambridge Univ. Press, Cambridge.
Landau, L. and Lifshitz, E: 1959.Fluid Mechanics, Pergamon Press, London.
Mihalas, D. and Mihalas, B.: 1984,Foundations of Radiation Hydrodynamics, Oxford Univ. Press, Oxford.
Santos, N.: 1985,Mon. Not. R. Astr. Soc. 216, 403.
Tolman, R.: 1939,Phys. Rev. 55, 364.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Barreto, W. Exploding radiating viscous spheres in general relativity. Astrophys Space Sci 201, 191–201 (1993). https://doi.org/10.1007/BF00627193
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00627193