Late time cosmic acceleration in modified Sáez-Ballester theory

Abstract

We establish an extended version of the modified Sáez-Ballester (SB) scalar-tensor theory in arbitrary dimensions whose energy momentum tensor as well as potential are pure geometrical quantities. This scenario emerges by means of two scalar fields (one is present in the SB theory and the other is associated with the extra dimension) which widens the scope of the induced-matter theory. Moreover, it bears a close resemblance to the standard Sáez-Ballester scalar-tensor theory, as well as other alternative theories to general relativity, whose construction includes either a minimally or a non-minimally coupled scalar field. However, contrary to those theories, in our framework the energy momentum tensor and the scalar potential are not added by hand, but instead are dictated from the geometry. Concerning cosmological applications, our herein contribution brings a new perspective. We firstly show that the dark energy sector can be naturally retrieved within a strictly geometric perspective, and we subsequently analyze it. Moreover, our framework may provide a hint to understand the physics of lower gravity theories.

arXiv comment19 pages, 1 figure

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• Geodesic deviation equation in Brans-Dicke theory in arbitrary dimensions
• On the equivalence between Sáez-Ballester theory and Einstein-scalar field system
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• Gravitational Foundations and Exact Solutions in $n$-Dimensional Fractional Cosmology
• Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action
• The Cosmological Constant Problem and the Extra Dimensions of $\mathcal{N}=2$ $\mathcal{D}=5$ Supergravity
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