Scale Invariant Dark Energy

Tronconi, Alessandro; Venturi, Giovanni

Scale Invariant Dark Energy

Alessandro Tronconi
(
- INFN, Bologna and
- U. Bologna, DIFA
)
,
Giovanni Venturi
(
- INFN, Bologna and
- U. Bologna, DIFA
)

Feb 12, 2025

24 pages

e-Print:

2502.08334 [gr-qc]

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Abstract: (arXiv)

A global scale-invariant Dark Energy model based on Induced Gravity with the addition of a small

R^2

contribution is examined. The scalar field (quintessence), playing the role of Dark Energy, has a quartic potential and generates Newton's constant with its non-minimal coupling (after introducing a suitable symmetry breaking). Even when small, the

R^2

contribution significantly modifies the cosmological evolution of the matter-gravity system. The solutions to this model are obtained analytically through a perturbative expansion and oscillate with transplanckian frequency. They are then compared with similar solutions found for

\Lambda

CDM cosmology plus

R^2

. Finally scalar field production is perturbatively taken into account in a simple model and the resulting effects illustrated.

Note:

24 pages, 1 figure, invited contribution to the Starobinsky Memorial Volume, Springer 2025

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