Conical spacetimes and global hyperbolicity
نویسندگان
چکیده
منابع مشابه
Conical Spacetimes and Global Hyperbolicity
Vickers and Wilson ([26]) have shown global hyperbolicity of the conical spacetime in the sense of well-posedness of the initial value problem for the wave equation in generalized functions. We add the aspect of metric splitting and preliminary thoughts on Cauchy hypersurfaces and causal curves. AMS Mathematics Subject Classi cation (2010): 46F30, 83C75
متن کاملGeneralised Hyperbolicity in Space-times with Conical Singularities
A desirable property of any space-time used to model a physically plausible scenario is that the evolution of the Einstein’s equations is well posed i.e. the initial value problem has a unique solution. Space-times whose metrics are at least C, which guarantees the existence of unique geodesics, fall within the context of the Cosmic Censorship Hypothesis of Penrose (1979). The hypothesis states...
متن کاملGlobal Hyperbolicity of Sliced Spaces
We show that for generic sliced spacetimes global hyperbolicity is equivalent to space completeness under the assumption that the lapse, shift and spatial metric are uniformly bounded. This leads us to the conclusion that simple sliced spaces are timelike and null geodesically complete if and only if space is a complete Riemannian manifold.
متن کاملLoop Variables for a Class of Conical Spacetimes
Loop variables are used to describe the presence of topological defects in spacetime. In particular we study the dependence of the holonomy transformation on angular momentum and torsion for a multi-chiral cone. We also compute the holonomies for multiple moving crossed cosmic strings and two plane topological defects-crossed by a cosmic string. June/95 ∗ This work was supported in part by Cons...
متن کاملSemi-hyperbolicity and Hyperbolicity
We prove that for C1-diffeomorfisms semi-hyperbolicity of an invariant set implies its hyperbolicity. Moreover, we provide some exact estimations of hyperbolicity constants by semi-hyperbolicity ones, which can be useful in strict numerical computations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Novi Sad Journal of Mathematics
سال: 2015
ISSN: 1450-5444,2406-2014
DOI: 10.30755/nsjom.gf14.02