Abstract
We consider mimetic Horava gravity, where the scalar field of mimetic gravity was used in the construction of diffeomorphism invariant models reducing to Horava gravity in the synchronous gauge. It will be shown that the gravitational action with the addition of the Gibbons–Hawking–York term and the mimetic Horava action are equivalent for manifolds whose topology is \(R \times \Sigma \), where \(\Sigma \) is a three-dimensional hypersurface; otherwise, the mimetic Horava action does not contain any surface terms.
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Acknowledgements
We would like to thank Professor Ali Chamseddine for suggesting the problem and for his helpful discussions on the subject. We would like to thank also the American University of Beirut (Faculty of Science) and the National Council for Scientific Research of Lebanon (CNRS-L) for granting a doctoral fellowship to Chireen Saghir and for their support.
Funding
The CNRS covered Chireen’s PhD stipend during which this work was carried out.
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Malaeb, O., Saghir, C. Mimetic Horava and surface terms. Gen Relativ Gravit 55, 122 (2023). https://doi.org/10.1007/s10714-023-03171-y
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DOI: https://doi.org/10.1007/s10714-023-03171-y