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- W2087364277 abstract "Geodesic orbits of a one-dimensional group G of isometries of a semi-Riemannian manifold are classified into complete and incomplete orbits. It is shown that the latter (which are null), if extendable, define fixed points of G . A bifurcate Killing horizon N̂ in a four-dimensional Lorentz manifold is defined as the union of intersecting (smooth) Killing horizons (of the same group G ). By means of an analysis of the action of G near a fixed point, the theorem is established that a Killing horizon N is contained, as a ‘branch’, in a bifurcate Killing horizon N̂ if and only if it contains an incomplete, extendable, null geodesic orbit. Examples in familiar relativistic space times are pointed out." @default.
- W2087364277 created "2016-06-24" @default.
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- W2087364277 date "1969-07-08" @default.
- W2087364277 modified "2023-10-14" @default.
- W2087364277 title "Geodesic Killing orbits and bifurcate Killing horizons" @default.
- W2087364277 cites W1964609051 @default.
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- W2087364277 doi "https://doi.org/10.1098/rspa.1969.0116" @default.
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