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1 Vanishing Scalar Invariant Spacetimes in Higher Dimensions

A. Coley, Robert Milson, Vojtěch Pravda, A. Pravdová

Open publisher page 89 citations

Abstract

We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher-dimensional Lorentzian spacetime if and only if there exists an aligned non-expanding, non-twisting, geodesic null direction along which the Riemann tensor has negative boost order. 1

About this research paper

What this paper is about

We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher-dimensional Lorentzian spacetime if and only if there exists an aligned non-expanding, non-twisting, geodesic null direction along which the Riemann tensor has negative boost order. 1

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OpenAlex reports 89 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher-dimensional Lorentzian spacetime if and only if there exists an aligned non-expanding, non-twisting, geodesic null direction along which the Riemann tensor has negative boost order. 1

Key concepts: Physics, Mathematical physics, Invariant (physics), Scalar (mathematics), Scalar field, Classical mechanics, Theoretical physics, Geometry

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