2 research outputs found
A note on a third order curvature invariant in static spacetimes
We consider here the third order curvature invariant
in static spacetimes
for which is conformally flat. We evaluate
explicitly the invariant for the -dimensional Majumdar-Papapetrou multi
black-holes solution, confirming that does indeed vanish on the event
horizons of such black-holes. Our calculations show, however, that solely the
vanishing of is not sufficient to locate an event horizon in
non-spherically symmetric spacetimes. We discuss also some tidal effects
associated to the invariant .Comment: 5 pages, 3 figures. Extra material available at
http://vigo.ime.unicamp.br/in