Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry

Jelle Hartong, Niels A. Obers

Research output: Contribution to journalArticlepeer-review


Recently it has been established that torsional Newton-Cartan (TNC) geometry is the appropriate geometrical framework to which non-relativistic field theories couple. We show that when these geometries are made dynamical they give rise to Horava-Lifshitz (HL) gravity. Projectable HL gravity corresponds to dynamical Newton-Cartan (NC) geometry without torsion and non-projectable HL gravity corresponds to dynamical NC geometry with twistless torsion (hypersurface orthogonal foliation). We build a precise dictionary relating all fields (including the scalar khronon), their transformations and other properties in both HL gravity and dynamical TNC geometry. We use TNC invariance to construct the effective action for dynamical twistless torsional Newton-Cartan geometries in 2+1 dimensions for dynamical exponent 1
Original languageEnglish
Article number155
Journal Journal of High Energy Physics
Publication statusPublished - 29 Jul 2015
Externally publishedYes


  • hep-th
  • gr-qc


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