Disformal transformation in Newton-Cartan geometry
arXiv:1509.06005 · doi:10.1140/epjc/s10052-016-4282-7
Abstract
Newton-Cartan geometry has played a central role in recent discussions of non-relativistic holography and condensed matter systems. Although the conformal transformation in non-relativistic holography can be easily rephrased in Newton-Cartan geometry, we show that it requires a nontrivial procedure to get the consistent form of anisotropic disformal transformation in this geometry. Furthermore, as an application of the newly obtained disformal transformation, we use it to induce a new geometry.
15 pages, no figure
References in corpus (11)
- Unifying framework for scalar-tensor theories of gravity
- Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry
- Lifshitz Space-Times for Schroedinger Holography
- Hamiltonian analysis of spatially covariant gravity
- Lifshitz holography: The whole shebang
- Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
- A new formulation of non-relativistic diffeomorphism invariance
- Effective field theory for spacetime symmetry breaking
- Generalized dilatation operator method for non-relativistic holography
- The Non-Relativistic Superparticle in a Curved Background
- Induced geometry from disformal transformation