Artículos de revistas
A third-order curvature invariant in static spacetimes
Registro en:
Classical And Quantum Gravity. Iop Publishing Ltd, v. 24, n. 11, n. 2929, n. 2934, 2007.
0264-9381
WOS:000246688400012
10.1088/0264-9381/24/11/010
Autor
Saa, A
Institución
Resumen
We consider here the third-order curvature invariant I = R-mu nu p sigma;delta R-mu nu p sigma;delta in static spacetimes M = R x Sigma for which Sigma is conformally flat. We evaluate explicitly the invariant for the N-dimensional Majumdar-Papapetrou multi black-hole solution, confirming that I does indeed vanish on the event horizons of such black holes. Our calculations show, however, that alone the vanishing of I is not sufficient to locate an event horizon in non-spherically symmetric spacetimes. We also discuss some tidal effects associated with the invariant I. 24 11 2929 2934