On Twisted Spacetimes: a new class of Galilean cosmological models

Abstract

Within the generalized Newton-Cartan theory, Galilean Twisted spacetimes are introduced as dual models of the well-known relativistic twisted spacetimes. As a natural generalization, torqued vector fields in Galilean spacetimes are defined, showing that the local structure of a Galilean spacetime admitting a timelike torqued vector field is given by a Twisted spacetime. In addition, several results assuring the global splitting as Twisted spacetime are obtained. On the other hand, completeness of free falling observers is studied, as well as general geodesic completeness.

References in corpus (17)

• Generalized Robertson-Walker space times, a survey
• Spacetime Symmetries of the Quantum Hall Effect
• `Stringy' Newton-Cartan Gravity
• String Theory and String Newton-Cartan Geometry
• Newton-Cartan Supergravity
• The Cosmic No-Hair Theorem and the Nonlinear Stability of Homogeneous Newtonian Cosmological Models
• Connections and dynamical trajectories in generalised Newton-Cartan gravity II. An ambient perspective
• Fields and fluids on curved non-relativistic spacetimes
• General coordinate invariance in quantum many-body systems
• Non-relativistic Holography and Singular Black Hole
• Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors
• Embedding nonrelativistic physics inside a gravitational wave
• Leibnizian, Galilean and Newtonian structures of spacetime
• Eisenhart's theorem and the causal simplicity of Eisenhart's spacetime
• Classical aspects of lightlike dimensional reduction
• Fundamental units of length and time
• The Coriolis field