Causality and conjugate points in general plane waves
نویسندگان
چکیده
منابع مشابه
Causality and Conjugate Points in General Plane Waves
Let M = M0 × R be a pp–wave type spacetime endowed with the metric 〈·, ·〉z = 〈·, ·〉x + 2 du dv + H(x, u) du, where (M0, 〈·, ·〉x) is any Riemannian manifold and H(x, u) an arbitrary function. We show that the behaviour of H(x, u) at spatial infinity determines the causality of M, say: (a) if −H(x, u) behaves subquadratically (i.e, essentially −H(x, u) ≤ R1(u)|x|2− for some > 0 and large distance...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2003
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/20/11/322