On the SO(2,1) symmetry in General Relativity
Gaetano Vilasi, Patrizia Vitale
TL;DR
This paper investigates the significance of SO(2,1) symmetry in General Relativity and classifies cosmological solutions with specific Lie algebra invariances that include this symmetry.
Contribution
It provides a detailed analysis of SO(2,1) symmetry's role and classifies Einstein solutions invariant under Lie algebras containing this symmetry.
Findings
Identifies the role of SO(2,1) in Einstein solutions
Classifies cosmological solutions with SO(2,1) symmetry
Expands understanding of symmetry structures in GR
Abstract
The role of the SO(2,1) symmetry in General Relativity is analyzed. Cosmological solutions of Einstein field equations invariant with respect to a space-like Lie algebra G_r, with r between 3 and 6 and containing so(2,1) as a subalgebra, are also classified.
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