Keywords
Exact solution
Scalar field
Einstein’s equations
Temperature
Hubble
Deceleration parameter
Kretschmann
Singularity
Jacobi stability
How to Cite
Abstract
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.
References
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