| Issue |
EPL
Volume 149, Number 4, February 2025
|
|
|---|---|---|
| Article Number | 49001 | |
| Number of page(s) | 5 | |
| Section | Gravitation, cosmology and astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/adae2f | |
| Published online | 25 February 2025 | |
Critical parameters and equilibrium profiles for gravitational collapse with shear viscosity
Centro de Ciências Naturais e Humanas, Universidade Federal do ABC - Rua Santa Adélia, 166, Bairro Bangu, CEP 09210-170, Santo André, SP, Brazil
Received: 17 May 2024
Accepted: 24 January 2025
In this letter, we investigate the instability around equilibrium of a poor thermal conductor with shear viscosity. The analytical formulation departs from a Boltzmann relation satisfied by the non-homogeneous density. The equilibrium condition together with the equation of state provide rescaled frequency, time, and viscosity. A viscosity parameter is then suitably identified. We find the radial profiles for the gravitational field and potential, and density at equilibrium. As a result, we obtain the critical radius and mass of the collapsing self-gravitating gas cloud as functions of the viscosity parameter. We find that shear viscosity cannot drive gravitational collapse of compact objects. Applications of our theory as a benchmark test for astrohydrocodes are addressed.
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