Non-Riemannian gravity actions from double field theory

Abstract

Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.

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Cited by in corpus (18)

• Aspects of Nonrelativistic Strings
• Torsional string Newton-Cartan geometry for non-relativistic strings
• Non-Relativistic Ten-Dimensional Minimal Supergravity
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• On the Non-Relativistic Expansion of Closed Bosonic Strings
• Torsional Deformation of Nonrelativistic String Theory
• Dual D-Brane Actions in Nonrelativistic String Theory
• Nonrelativistic Approximations of Closed Bosonic String Theory
• Worldsheet Formalism for Decoupling Limits in String Theory
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• Generalized Newton-Cartan Geometries for Particles and Strings
• KLT Factorization of Nonrelativistic String Amplitudes
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Branched SL(2,Z) Duality
• Identifying Riemannian singularities with regular non-Riemannian geometry
• Post-Newtonian Feasibility of the Closed String Massless Sector
• A 3+1 formulation of the 1/c expansion of General Relativity
• Unique Carrollian manifolds emerging from Einstein spacetimes