Causal thermodynamics of a gravitational collapse model for an anisotropic fluid with dissipative flows

  • J. M. Z. PretelEmail author
  • M. F. A. da Silva
Research Article


This paper presents a hydrodynamic and thermodynamic treatment of a radiant star model that undergoes a dissipative gravitational collapse, from a certain initial configuration until it becomes a black hole. The collapsing star consists of a locally anisotropic non-perfect fluid, shear-free, where we explore the consequences of including bulk viscosities and radial heat flow. We analyze the temporal evolution of the heat flux, mass function, luminosity perceived by an observer at infinity and the effective surface temperature. It is shown that this simple exact model, satisfying all the energy conditions throughout the interior region of the star and during all the collapse process, provides a physically reasonable behavior for the temperature profile in the context of the extended irreversible thermodynamics.


Gravitational collapse Causal thermodynamics Junction conditions Energy conditions Compact objects 



The financial assistance from Conselho Nacional de Desenvolvimento Cienífico - CNPq and Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro - FAPERJ (MFAdaS) and from Coordenação de Aperfeiçãoamento de Pessoal de Nível Superior - CAPES (JMZP) are gratefully acknowledged. We also would like to thank our colleague Leone S. M. Venerone for helpful discussions and comments about this work.


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Authors and Affiliations

  1. 1.Departamento de Física TeóricaUniversidade do Estado do Rio de JaneiroRio de JaneiroBrazil
  2. 2.Instituto de FísicaUniversidade Federal do Rio de JaneiroRio de JaneiroBrazil

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