Rácz, István; Wald, Robert M. Extensions of spacetimes with Killing horizons. (English) Zbl 0782.53061 Classical Quantum Gravity 9, No. 12, 2643-2656 (1992). The authors prove that for a spacetime with a Killing horizon \(N\) [such that all orbits of a Killing vector field are diffeomorphic to \(\mathbb{R}\), and \(N\) admits a smooth cross section, \(\Sigma\), with each orbit intersecting \(\Sigma\) only once], an open neighbourhood of \(N\) can be extended so that \(N\) comprises a portion of bifurcate Killing horizon iff the surface gravity of \(N\) is constant and non-vanishing. Reviewer: K.L.Duggal (Windsor / Ontario) Cited in 40 Documents MSC: 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 83C57 Black holes Keywords:black holes; gravitational collapse; Killing horizon; extended spacetime; surface gravity; bifurcation surface PDFBibTeX XMLCite \textit{I. Rácz} and \textit{R. M. Wald}, Classical Quantum Gravity 9, No. 12, 2643--2656 (1992; Zbl 0782.53061) Full Text: DOI