4D neutral signature VSI and CSI spaces
A. Alcolado, A. MacDougall, A. Coley, S. Hervik
TL;DR
This paper constructs four-dimensional neutral signature spaces with vanishing or constant polynomial scalar curvature invariants, relevant for theoretical physics applications.
Contribution
It provides explicit exact solutions of VSI and CSI spaces in four-dimensional neutral signature geometry, expanding the class of known solutions.
Findings
Constructed new 4D neutral signature VSI spaces
Derived 4D neutral signature CSI spaces with constant invariants
Relevance of solutions to current theoretical physics models
Abstract
In this paper we present a number of four-dimensional neutral signature exact solutions for which all of the polynomial scalar curvature invariants vanish (VSI spaces) or are all constant (CSI spaces), which are of relevence in current theoretical physics.
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