Explains non-lorentzian theories and their dynamics.
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5 results for “non-lorentzian”
A non-lorentzian primerhep-th
problem Understanding non-lorentzian kinematics and dynamics.
method Review of kinematical spacetimes, construction of particle dynamics actions, discussion of gravity theories and field theories.
result Introduction and analysis of non-lorentzian gravity and field theories.
Non-lorentzian spacetimesmath.DG
Non-lorentzian geometry reviewed, including Lie algebras and Klein geometries.
problem Understanding non-lorentzian spacetimes.
method Classification and characterization of kinematical Lie algebras and their geometries.
result Characterization of Cartan geometries based on intrinsic torsion.
Study Godbillon-Vey invariants in non-Lorentzian spacetimes and fluid dynamics.
problem Characterizing and measuring the local spin of spatial leaves in non-Lorentzian spacetimes.
method Relating intrinsic torsion to Godbillon-Vey class, using geometric structures to model fluid dynamics.
result Godbillon-Vey class represents an obstruction to steady flow of fluid and new conservation laws.
We prove global results about actions of cocompact lattices in higher-rank simple Lie groups on closed manifolds endowed with either a projective class of connections or a conformal class of pseudo-Riemannian metrics of signature , with . In the continuity of a recent article, provided that suc…
Study -brane Galilean and Carrollian geometries via intrinsic torsion.
problem Characterize -brane Galilean and Carrollian geometries via intrinsic torsion.
method Analyze intrinsic torsions as representations of , interpret geometrically, and use physics-inspired methods.
result Recover classification of -brane Galilean geometries and relate to ()-brane Carrollian geometries.