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GEOMETRY OF NON-EXPANDING HORIZONS AND THEIR NEIGHBORHOODS

GEOMETRY OF NON-EXPANDING HORIZONS AND THEIR NEIGHBORHOODS

This is a contribution to MG9 session BHT4. Certain geometrically distinguished frame on a non-expanding horizon and in its space-time neighborhood, as well as the Bondi-like coordinates are constructed. The construction provides free degrees of freedom, invariants, and the existence conditions for a Killing vector field. The reported results come …