Uninvited guest in mixed derivative Hořava gravity

Abstract

We revisit the mixed-derivative extension of Hořava gravity which was designed to address the naturalness problems of the standard theory in the presence of matter couplings. We consider the minimal theory with mixed-derivative terms that contain two spatial and two temporal derivatives. Including all terms compatible with the (modified) scaling rules and the foliation-preserving diffeomorphisms, we calculate the dispersion relations of propagating modes. We find that the theory contains four propagating degrees of freedom, as opposed to three in the standard Hořava gravity. The new degree of freedom is another scalar graviton, and it is unstable at low energies. Our result brings tension to the Lorentz-violation suppression mechanism that relies on separation of scales.

Citation

Coates, A., Colombo, M., Gümrükçüoğlu, A. E., & Sotiriou, T. P. (2016). Uninvited guest in mixed derivative Hořava gravity. Physical Review D, 94(8), Article 84014. https://doi.org/10.1103/PhysRevD.94.084014

• Journal Article Type: Article
• Acceptance Date: Jun 1, 2016
• Publication Date: Oct 6, 2016
• Deposit Date: Dec 21, 2016
• Publicly Available Date: Dec 21, 2016
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0010
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 94
• Issue: 8
• Article Number: 84014
• DOI: https://doi.org/10.1103/PhysRevD.94.084014
• Public URL: https://nottingham-repository.worktribe.com/output/824367
• Publisher URL: http://dx.doi.org/10.1103/PhysRevD.94.084014
• Additional Information: ©2016 American Physical Society.