Exact solutions and stability of a nonlinear scalar field in a Petrov Type D cosmology

 

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Autors: Angulo-Sibaja , Andrés, Alvarado Marín , Rodrigo
Format: artículo original
Estat:Versión publicada
Data de publicació:2025
Descripció:We present analytical solutions for a universe with a scalar field equivalent to a mixture of three perfect fluids: dark energy, dust and stiff matter. The space-time is an anisotropic and homogenous universe of Petrov Type D that expands isotropically in two spatial axes. We also determine the singularities with the Kretschmann scalar, the Hubble parameter, the deceleration parameter, and the temperature in terms of time. Finally, we study the Jacobi stability of the universe with the scalar field and conclude that the model is stable at all times.
Pais:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Idioma:Inglés
OAI Identifier:oai:portal.revistas.ucr.ac.cr:article/738
Accés en línia:https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/738
Paraula clau:Cosmology
Exact solution
Scalar field
Einstein’s equations
Temperature
Hubble
Deceleration parameter
Kretschmann
Singularity
Jacobi stability
Cosmología
Solución exacta
Campo escalar
Ecuaciones de Einstein
Temperatura
Parámetro de deceleración
Singularidad
Estabilidad de Jacobi