Late time cosmic acceleration in modified Sáez–Ballester theory

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 analyse it. Moreover, our framework may provide a hint to understand the physics of lower gravity theories.

Note:

19 pages, 1 figure

Sáez–Ballester scalar–tensor theory
Induced-matter theory
Extra dimensions
FLRW cosmology
Cosmological constant
Quintessence
Dark energy
Cosmic acceleration
tensor: energy-momentum
field theory: scalar

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