Articolo in rivista, 2023, ENG, 10.1142/S0219887823501499

Wedging spacetime principal null directions

D: Bini, A. Geralico, R. T. Jantzen

Istituto per le Applicazioni del Calcolo "M. Picone," CNR, I-00185 Rome, Italy INFN - Sezione di Roma III, Rome, Italy Department of Mathematics and Statistics, Villanova University, Villanova, PA 19085, USA

Taking wedge products of the p distinct principal null directions (PNDs) associated with the eigen-bivectors of the Weyl tensor associated with the Petrov classification, when linearly independent, one is able to express them in terms of the eigenvalues governing this decomposition. We study here algebraic and differential properties of such p-forms by completing previous geometrical results concerning type I spacetimes and extending that analysis to algebraically special spacetimes with at least two distinct PNDs. A number of vacuum and nonvacuum spacetimes are examined to illustrate the general treatment.

International journal of geometric methods in modern physics 20 (9), pp. 2350149–?

Keywords

Principal null directions of spacetimes

CNR authors

Bini Donato

CNR institutes

IAC – Istituto per le applicazioni del calcolo "Mauro Picone"