Morse relations for geodesics on stationary Lorentzian manifolds with boundary (Q1918505)

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scientific article; zbMATH DE number 906853
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Morse relations for geodesics on stationary Lorentzian manifolds with boundary
scientific article; zbMATH DE number 906853

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    Morse relations for geodesics on stationary Lorentzian manifolds with boundary (English)
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    15 December 1996
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    The article extends the theorem about so-called Morse relations [see \textit{R. Bott}, Bull. Am. Math. Soc., New Ser. 7, 331-358 (1982; Zbl 0505.58001)] to stationary Lorentzian manifolds with boundary which satisfy a convexity property. Such physically relevant cases as Schwarzschild and Reissner-Nordstrøm spacetime are covered by these results.
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    Morse theory
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    Lorentzian manifolds
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