Year: 2020
Type: article
Abstract: This paper is concerned with deformations of Kundt metrics in the direction of type III tensors and nil-Killing vector fields whose flows give rise to such deformations. We find various characterizations within the Kundt class in terms of nil-Killing vector fields and obtain a theorem classifying algebraic stability of tensors, which has an application in finding sufficient criteria for a type III deformation of the metric to preserve spi’s. This is used in order to specify Lie algebras of nil-Killing vector fields that preserve the spi’s, for degenerate Kundt metrics. Using this we discuss the characterization of Kundt-Constant scalar invariants spacetimes in terms of nil-Killing vector fields.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0018773
Author: Matthew Terje Aadne
Institution: University of Stavanger
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2998384348