From Lorentzian to Galilean (2+1) gravity: Drinfelʼd doubles, quantization and noncommutative spacetimes

DOI10.1088/0264-9381/31/24/245013zbMath1307.83023arXiv1408.3689OpenAlexW3100570959MaRDI QIDQ2941038

Pedro Naranjo, Francisco J. Herranz, Ángel Ballesteros

Publication date: 21 January 2015

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3689

zbMATH Keywords

noncommutative spacetimes(anti)-de Sitter quantum doublesChern-Simons approachquantum group contraction

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Space-time singularities, cosmic censorship, etc. (83C75) Analogues of general relativity in lower dimensions (83C80) Methods of noncommutative geometry in general relativity (83C65)

Related Items (3)

Towards \((3+1)\) gravity through Drinfel'd doubles with cosmological constant ⋮ Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry ⋮ The Poincaré group as a Drinfel’d double

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