T M Adamo and E T Newman 2009 Class. Quantum Grav. 26 235012 doi:10.1088/0264-9381/26/23/235012
T M Adamo1 and E T Newman2
Show affiliationsWe investigate the geometry of a particular class of null surfaces in spacetime called vacuum non-expanding horizons (NEHs). Using the spin-coefficient equation, we provide a complete description of the horizon geometry, as well as fixing a canonical choice of null tetrad and coordinates on a NEH. By looking for particular classes of null geodesic congruences which live exterior to NEHs but have the special property that their shear vanishes at the intersection with the horizon, a good cut formalism for NEHs is developed which closely mirrors asymptotic theory. In particular, we show that such null geodesic congruences are generated by arbitrary choice of a complex worldline in a complex four-dimensional space, each such choice induces a CR structure on the horizon, and a particular worldline (and hence CR structure) may be chosen by transforming to a privileged tetrad frame.
04.20.Gz Spacetime topology, causal structure, spinor structure
Issue 23 (7 December 2009)
Received 6 August 2009, in final form 1 October 2009
Published 11 November 2009
T M Adamo and E T Newman 2009 Class. Quantum Grav. 26 235012
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