Coupling of Brans-Dicke scalar field with Horava-Lifshitz gravity
Joohan Lee, Tae Hoon Lee, and Phillial Oh

TL;DR
This paper develops a Brans-Dicke type extension of Horava-Lifshitz gravity, showing it reduces to standard Brans-Dicke theory in the IR limit and exploring its cosmological implications.
Contribution
It introduces a novel coupling between Brans-Dicke scalar fields and Horava-Lifshitz gravity within the detailed balance framework, extending the theoretical landscape.
Findings
The generalized theory reduces to Brans-Dicke with negative cosmological constant in IR.
New terms influence homogeneous and isotropic cosmology.
The model is consistent within the detailed balance condition.
Abstract
We look for a Brans-Dicke type of generalization of the Horava-Lifshitz gravity. It is shown that such a generalization is possible within the detailed balance condition. Classically, the resulting theory reduces in the IR limit to the usual Brans-Dicke theory with a negative cosmological constant for certain values of parameters. We then consider homogeneous and isotropic cosmology and study the effects of the new terms appearing in the model.
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