Constraints on dark energy models from the Horndeski theory

Abstract

In light of the cosmological observations, we investigate dark energy models from the Horndeski theory of gravity. In particular, we consider cosmological models with the derivative self-interaction of the scalar field and the derivative coupling between the scalar field and gravity. We choose the self-interaction term to have an exponential function of the scalar field with both positive and negative exponents. For the function that has a positive exponent, our result shows that the derivative self-interaction term plays an important role in the late-time universe. On the other hand, to reproduce the right cosmic history, the derivative coupling between the scalar field and gravity must dominate during the radiation-dominated phase. However, the importance of such a coupling in the present universe found to be negligible due to its drastic decrease over time. Moreover, the propagation speed of gravitational waves estimated for our model is within the observational bounds, and our model satisfies the observational constraints on the dark energy equation of state.

16pages, 4 figures

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• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Towards a possible solution to the Hubble tension with Horndeski gravity
• $R^2$ Inflation Revisited and Dark Energy Corrections
• Improving data-driven model-independent reconstructions and updated constraints on dark energy models from Horndeski cosmology
• The reheating constraints to natural inflation in Horndeski gravity
• Constraining Scalar Charge in Neutron Stars through Gravitational Wave Signals from NSBH Mergers