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Article

Stability Analysis of a Self-Gravitating Fluid within EIT Theory

by
J. Félix Salazar
,
A. L. García-Perciante
*,
A. R. Méndez
and
G. Chacón-Acosta
Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana Unidad Cuajimalpa, Vasco de Quiroga 4871, Mexico City 05348, Mexico
*
Author to whom correspondence should be addressed.
Universe 2023, 9(7), 339; https://doi.org/10.3390/universe9070339
Submission received: 27 May 2023 / Revised: 12 July 2023 / Accepted: 14 July 2023 / Published: 19 July 2023
(This article belongs to the Section Cosmology)
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Abstract

In this article, we apply the formalism of (classical) Extended Irreversible Thermodynamics (EIT) to the dynamics of density fluctuations for a self-gravitating fluid in a static Universe, considering only bulk viscosity. The problem is characterized by gravitational instability, for which the Jeans criterion is shown to hold. However, both the relaxation time in the constitutive equation and the viscosity itself affect the behavior of both stable and unstable modes. In particular, the stable scenario features three modes, two of them corresponding to damped oscillations which decay faster that in the CIT scene. The third mode, inexistent in the CIT, corresponds to a very quickly decaying mode. In the unstable case, growing modes are observed in both EIT and CIT theories, for which the slowest growth is the one predicted by the CIT theory followed by the EIT, while the non-dissipative case corresponds to the fastest one.
Keywords: dissipative fluids; jeans mechanism; bulk viscosity dissipative fluids; jeans mechanism; bulk viscosity

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MDPI and ACS Style

Salazar, J.F.; García-Perciante, A.L.; Méndez, A.R.; Chacón-Acosta, G. Stability Analysis of a Self-Gravitating Fluid within EIT Theory. Universe 2023, 9, 339. https://doi.org/10.3390/universe9070339

AMA Style

Salazar JF, García-Perciante AL, Méndez AR, Chacón-Acosta G. Stability Analysis of a Self-Gravitating Fluid within EIT Theory. Universe. 2023; 9(7):339. https://doi.org/10.3390/universe9070339

Chicago/Turabian Style

Salazar, J. Félix, A. L. García-Perciante, A. R. Méndez, and G. Chacón-Acosta. 2023. "Stability Analysis of a Self-Gravitating Fluid within EIT Theory" Universe 9, no. 7: 339. https://doi.org/10.3390/universe9070339

APA Style

Salazar, J. F., García-Perciante, A. L., Méndez, A. R., & Chacón-Acosta, G. (2023). Stability Analysis of a Self-Gravitating Fluid within EIT Theory. Universe, 9(7), 339. https://doi.org/10.3390/universe9070339

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