Abstract
The simple structure of doubly torqued vectors allows for a natural characterization of doubly twisted down to warped spacetimes, as well as Kundt spacetimes down to PP waves. For the first ones the vectors are timelike, for the others they are null. We also discuss some properties, and their connection to hypersurface orthogonal conformal Killing vectors, and null Killing vectors.
Highlights
We introduced timelike doubly torqued vectors [15]
The simple structure of doubly torqued vectors allows for a natural characterization of doubly twisted down to warped spacetimes, as well as Kundt spacetimes down to PP waves
The same definition of doubly torqued vectors fits in the characterization of Kundt spacetimes: a Kundt spacetime is precisely defined by the existence of a null doubly torqued vector, and special cases as the Walker and Brinkmann metrics are naturally identified
Summary
We introduced timelike doubly torqued vectors [15] They provide a simple characterization of 1 + n doubly twisted spacetimes, and its subcases of twisted, doubly warped, generalized Robertson-Walker spacetimes. The same definition of doubly torqued vectors fits in the characterization of Kundt spacetimes: a Kundt spacetime is precisely defined by the existence of a null doubly torqued vector, and special cases as the Walker and Brinkmann metrics are naturally identified. The same spacetimes have a tensor characterization, independent of the choice of coordinates, through the existence of a timelike-unit vector field ui that is vorticity-free and shear-free. Besides this description, preferred by physicists, we recently identified another one in terms of a timelike doubly torqued vector [15]:.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
