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arxiv: 1007.3306 · v1 · pith:NEVEG2B7new · submitted 2010-07-19 · 🌀 gr-qc

Anisotropic cosmology in S\'aez-Ballester theory: classical and quantum solutions

classification 🌀 gr-qc
keywords aez-ballesteranisotropicclassicalcosmologicalquantumsolutionstheoryapproach
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We use the S\'aez-Ballester theory on anisotropic Bianchi I cosmological model, with barotropic fluid and cosmological constant. We obtain the classical solution by using the Hamilton-Jacobi approach. Also the quantum regime is constructed and exact solutions to the Wheeler-DeWitt equation are found.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Exact solutions using power law scalar potential in the Saez-Ballester-K-essence like theory

    gr-qc 2026-06 unverdicted novelty 3.0

    Exact classical and quantum solutions are derived for a K-essence like cosmological model with negative power-law Saez-Ballester potential by mapping to a previously solved FLRW model.

  2. Power law scalar potential in the Saez-Ballester like theory: Exact solutions in the Bianchi type I case

    gr-qc 2026-04 unverdicted novelty 3.0

    Power-law scalar potentials in a Saez-Ballester-like theory for Bianchi I models produce the same volume evolution as exponential potentials but keep scalar fields dynamically present.