Spacetime groups

DOI10.1063/5.0001460zbMath1455.83002arXiv1911.02380OpenAlexW2998466651MaRDI QIDQ5140964

Ian M. Anderson, Charles G. Torre

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/1911.02380

zbMATH Keywords

Lie groupNewman-Penrose formalismPetrov typesspacetime groupleft invariant Lorentz metric

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Structure and representation of the Lorentz group (22E43) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) General properties and structure of real Lie groups (22E15) Computational methods for problems pertaining to relativity and gravitational theory (83-08)

Related Items

A new non-inheriting homogeneous solution of the Einstein-Maxwell equations with cosmological term ⋮ Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups

Uses Software

• Maple
• DifferentialGeometry

Cites Work

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