Abstract
In this chapter we present the latest work on applications of lightlike hypersurfaces in two active ongoing research areas in mathematical physics. First, we deal with black hole horizons. We prove a Global Null Splitting Theorem and relate it with physically significant works of Galloway [197] on null hypersurfaces in general relativity, Ashtekar and Krishnan’s work [16] on dynamical horizons and Sultana-Dyer’s work [378, 379] on conformal Killing horizons, with related references. Secondly, we present the latest work on Osserman lightlike hypersurfaces [20].
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