2 6 Ju n 20 04 On the Geometry of Static Space – Times
نویسنده
چکیده
We review geometrical properties of a static spacetime (M, g), including geodesic completeness, causality, standard splittings, compact M , closed geodesics and geodesic connectedness. We pay special attention to the critical quadratic behavior at infinity of the coefficients β, β −1 (β = −g(K, K), being K a timelike irrotational Killing vector field), which essentially control completeness, causality and geodesic connectedness. Recent references are specially discussed.
منابع مشابه
1 6 Ju n 20 04 On the Geometry of Static Space – Times
We review geometrical properties of a static spacetime (M, g), including geodesic completeness, causality, standard splittings, compact M , closed geodesics and geodesic connectedness. We pay special attention to the critical quadratic behavior at infinity of the coefficients β, β −1 (β = −g(K, K), being K a timelike irrotational Killing vector field), which essentially control completeness, ca...
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