Radiating collapse in the presence of anisotropic stresses
Abstract
In this paper, we investigate the effect of anisotropic stresses (radial and tangential pressures being unequal) for a collapsing fluid sphere dissipating energy in the form of radial flux. The collapse starts from an initial static sphere described by the Bowers and Liang solution and proceeds until the time of formation of the horizon. We find that the surface redshift increases as the stellar fluid moves away from isotropy. We explicitly show that the formation of the horizon is delayed in the presence of anisotropy. The evolution of the temperature profiles is investigated by employing a causal heat transport equation of the Maxwell-Cattaneo form. Both the Eckart and causal temperatures are enhanced by anisotropy at each interior point of the stellar configuration.
- Publication:
-
International Journal of Modern Physics D
- Pub Date:
- January 2016
- DOI:
- Bibcode:
- 2016IJMPD..2550037G
- Keywords:
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- Gravitational collapse;
- heat flux;
- anisotropic stresses;
- 04.40.Dg;
- 95.30.Sf;
- 04.50.Gh;
- Relativistic stars: structure stability and oscillations;
- Relativity and gravitation;
- Higher-dimensional black holes black strings and related objects