the R. ,----Wheeler [33] or Zerilli [34] wave equation with a potential barrier. For
simplicity, considering only the time independent limit, which is relevant to the
expansion of the background in Eq. (5-18), this admits an analytic solution
2hABdXAdXB I XJ [( 2p/p)2 2 + dp2
+ (p2- 22) (d2 2 sin2 '.r 2)]
4
+-* KPQ3IXPXI (1 24/p) dTdXK, (5-20)
3
where (T, p, 0, p) is the spherical polar representation of THZ coordinates
(T, X, y, Z). This is well behaved on the event horizon and matches 2HAB when
Pt