Tidal indicators in the spacetime of a rotating deformed mass
Abstract
Tidal indicators are commonly associated with the electric and magnetic parts of the Riemann tensor (and its covariant derivatives) with respect to a given family of observers in a given spacetime. Recently, observer-dependent tidal effects have been extensively investigated with respect to a variety of special observers in the equatorial plane of the Kerr spacetime. This analysis is extended here by considering a more general background solution to include the case of matter which is also endowed with an arbitrary mass quadrupole moment. Relation with curvature invariants and Bel-Robinson tensor, i.e., observer-dependent super-energy density and super-Poynting vector, are investigated too.
Keywords
Cite
@article{arxiv.1306.4803,
title = {Tidal indicators in the spacetime of a rotating deformed mass},
author = {Donato Bini and Kuantay Boshkayev and Andrea Geralico},
journal= {arXiv preprint arXiv:1306.4803},
year = {2013}
}
Comments
18 pages, 7 figures, published in Classical and Quantum Gravity available at http://adsabs.harvard.edu/abs/2012CQGra..29n5003B