Exact cosmological solutions and their stability for a non-linear scalar field equivalent to a mixture of dark energy, dust, and stiff matter in a symmetry of petrov type D
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Fecha
2024
Tipo
tesis de maestría
Autores
Angulo Sibaja, Andrés Alexis
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En este trabajo se encuentran soluciones cosmológicas exactas en una simetría de Petrov tipo D para un campo escalar equivalente a una mezcla de tres fluidos perfectos: energía oscura, polvo y materia rígida. Se estudia la evolución dinámica del universo y determinan los parámetros cosmológicos y singularidades con el escalar de Kretschmann. Finalmente, con la teoría de Kosambi-Cartan-Chern, se calcula la estabilidad de Jacobi de la cosmología con el campo escalar para analizar la robustez del modelo ante desviaciones exponenciales de trayectorias cercanas.
In this work, we found exact cosmological solutions in a Petrov type D symmetry for a scalar field equivalent to a mixture of three perfect fluids: dark energy, dust, and stiff matter. We study the dynamical evolution of the universe and determine the cosmological parameters and singularities with the Kretschmann scalar. Finally, by applying the Kosambi-Cartan-Chern theory, we calculate the Jacobi stability of the cosmological model with a scalar field and determine its robustness to exponential deviations from nearby trajectories.
In this work, we found exact cosmological solutions in a Petrov type D symmetry for a scalar field equivalent to a mixture of three perfect fluids: dark energy, dust, and stiff matter. We study the dynamical evolution of the universe and determine the cosmological parameters and singularities with the Kretschmann scalar. Finally, by applying the Kosambi-Cartan-Chern theory, we calculate the Jacobi stability of the cosmological model with a scalar field and determine its robustness to exponential deviations from nearby trajectories.
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PHYSICS, ENERGY, COSMOLOGY, UNIVERSE, EVOLUTION, PARAMETERS