Petrov type I spacetime curvature: Principal null vector spanning dimension-Reference-Cited by-同舟云学术

Petrov type I spacetime curvature: Principal null vector spanning dimension

Published:2023-01-12 Issue:05 Volume:20 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Bini Donato¹²,Geralico Andrea¹^ORCID,Jantzen Robert T.³

Affiliation:

1. Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche (CNR), I-00185 Rome, Italy

2. Istituto Nazionale di Fisica Nucleare (INFN) — Sezione di Roma III, Rome, Italy

3. Department of Mathematics and Statistics, Villanova University, Villanova, PA 19085, USA

Abstract

The class of Petrov type I curvature tensors is further divided into those for which the span of the set of distinct principal null directions has dimension 4 (maximally spanning type I) or dimension 3 (nonmaximally spanning type I). Explicit examples are provided for both vacuum and nonvacuum spacetimes.

Funder

ICRANet

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887823500871

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