Scalar polynomial curvature invariants in the context of the Cartan–Karlhede algorithm
DOI10.1142/S0219887819500270zbMath1411.83069arXiv1506.03415OpenAlexW2962903110MaRDI QIDQ4625455
D. D. McNutt, Nathan Musoke, Dario A. Brooks, J. P. Simard
Publication date: 22 February 2019
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.03415
Cartan invariantsLorentzian metricsscalar polynomial curvature invariantsthree-dimensional gravityframe formalism
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exterior differential systems (Cartan theory) (58A15) Analogues of general relativity in lower dimensions (83C80) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Uses Software
Cites Work
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- On scalar curvature invariants in three dimensional spacetimes
- Three-dimensional space-times
- A review of the geometrical equivalence of metrics in general relativity
- Cartan invariants and event horizon detection
- The equivalence problem
- Basis for scalar curvature invariants in three dimensions
- Kundt spacetimes
- Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
- Exact Solutions of Einstein's Field Equations
- Spinor formulation of topologically massive gravity
- Three-dimensional spacetimes of maximal order
- Lorentzian spacetimes with constant curvature invariants in four dimensions
- Lorentzian spacetimes with constant curvature invariants in three dimensions
- Equivalence of three-dimensional spacetimes
- On spacetimes with constant scalar invariants
