Embedding Galilean and Carrollian geometries. I. Gravitational waves
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Publication:5141012
DOI10.1063/1.5130907zbMath1455.83004arXiv1811.12681OpenAlexW3099446729MaRDI QIDQ5141012
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.12681
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) General properties and structure of real Lie groups (22E15) Gravitational waves (83C35)
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Lie algebraic Carroll/Galilei duality, Carrollian manifolds and null infinity: a view from Cartan geometry, Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator, Planar Carrollean dynamics, and the Carroll quantum equation, Tractor geometry of asymptotically flat spacetimes, Gauges in three-dimensional gravity and holographic fluids, Non-lorentzian spacetimes, Torsion and anomalies in the warped limit of Lifschitz theories, Hall motions in Carroll dynamics, Carroll stories, Possible ambient kinematics, Ehlers, Carroll, charges and dual charges, Quantum Carroll/fracton particles, Carrollian Yang-Mills theory, Carrollian and celestial spaces at infinity, Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant, Relativistic fluids, hydrodynamic frames and their Galilean versus Carrollian avatars, Some useful operators on differential forms on Galilean and Carrollian spacetimes, On symplectic form for null boundary phase space, Galilean and Carrollian Hodge star operators, Magic fermions: Carroll and flat bands, Chern-Simons action and the Carrollian Cotton tensors, Carrollian physics at the black hole horizon, Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes, Equivalence of a harmonic oscillator to a free particle and Eisenhart lift, Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension, Asymptotic symmetries in Carrollian theories of gravity, Carrollian hydrodynamics from symmetries
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