Horndeski theories self-tuning to a de Sitter vacuum
Prado Martin-Moruno, Nelson J. Nunes, and Francisco S. N. Lobo

TL;DR
This paper introduces Horndeski cosmological models capable of dynamically screening vacuum energy, leading to a stable de Sitter universe, which could explain the universe's accelerated expansion.
Contribution
It presents the most general second-order scalar-tensor models that self-tune to a de Sitter vacuum regardless of vacuum energy content.
Findings
Models can screen arbitrary vacuum energy
Existence of a de Sitter attractor in these models
Potential explanation for cosmic acceleration
Abstract
We consider Horndeski cosmological models able to screen the vacuum energy coming from any field theory assuming that after this screening the space should be in a de Sitter vacuum with a particular value of the cosmological constant specified by the theory of gravity itself. The most general scalar-tensor cosmological models without higher than second order derivatives in the field equations that have a spatially flat de Sitter critical point for any kind of material content or vacuum energy are, therefore, presented. These models could allow us to understand the current accelerated expansion of the universe as the result of a dynamical evolution towards a de Sitter attractor.
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