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2016

Bi-scalar modified gravity and cosmology with conformal invariance

Saridakis, Emmanuel N., Tsoukalas, Minas

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We investigate the cosmological applications of a bi-scalar modified gravity that exhibits partial conformal invariance, which could become full conformal invariance in the absence of the usual Einstein-Hilbert term and introducing additionally either the Weyl derivative or properly rescaled fields.

Such a theory is constructed by considering the action of a non-minimally conformally-coupled scalar field, and adding a second scalar allowing for a nonminimal derivative coupling with the Einstein tensor and the energy-momentum tensor of the first field.
At a cosmological framework we obtain an effective dark-energy sector constituted from both scalars.
In the absence of an explicit matter sector we extract analytical solutions, which for some parameter regions correspond to an effective matter era and/or to an effective radiation era, thus the two scalars give rise to "mimetic dark matter" or to "dark radiation" respectively.

Bi-scalar modified gravity and cosmology with conformal invariance · Around

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