4D neutral signature VSI and CSI spaces

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.

References in corpus (6)

• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Spacetimes characterized by their scalar curvature invariants
• Lorentzian spacetimes with constant curvature invariants in four dimensions
• Higher dimensional VSI spacetimes
• Lorentzian spacetimes with constant curvature invariants in three dimensions
• Pseudo-Riemannian VSI spaces

Cited by in corpus (4)

• Pseudo-Riemannian VSI spaces II
• Pseudo-Riemannian VSI spaces
• $\mathcal{I}$-degenerate pseudo-Riemannian metrics
• Mathematical Properties of a Class of Four-dimensional Neutral Signature Metrics