Six exact anisotropic Bianchi I solutions in a two-scalar Sáez–Ballester–K-essence-like theory with inverse power-law potentials all approach a common late-time de Sitter attractor.
Classical and quantum Cosmology of the S\'aez-Ballester theory
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abstract
We study the generalization of the S\'aez-Ballester theory applied to a flat FRW cosmological model. Classical exact solutions up to quadratures are easily obtained using the Hamilton-Jacobi approach. Contrary to claims in the specialized literature, it is shown that the S\'aez-Ballester theory cannot provide a realistic solution to the dark matter problem of Cosmology. Furthermore the quantization procedure of the theory can be simplified by reinterpreting the theory in the Einstein frame, where the scalar field can be interpreted as part of the matter content of the theory, in this approach, exact solutions are also found for the Wheeler-DeWitt equation in the quantum regime.
fields
gr-qc 2years
2026 2representative citing papers
Exact Hamiltonian and Wheeler-DeWitt solutions for a hybrid Saez-Ballester K-essence model with V∼ϕ^{-λ} yield de Sitter-like late acceleration and a scalar field acting as cosmic background.
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Power law scalar potential in the Saez-Ballester like theory: Exact solutions in the Bianchi type I case
Six exact anisotropic Bianchi I solutions in a two-scalar Sáez–Ballester–K-essence-like theory with inverse power-law potentials all approach a common late-time de Sitter attractor.
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Exact solutions using power law scalar potential in the Saez-Ballester-K-essence like theory
Exact Hamiltonian and Wheeler-DeWitt solutions for a hybrid Saez-Ballester K-essence model with V∼ϕ^{-λ} yield de Sitter-like late acceleration and a scalar field acting as cosmic background.