Collisions of Particles in Locally AdS Spacetimes II Moduli of Globally Hyperbolic Spaces | Zendy

Thierry Barbot | Zendy; Francesco Bonsante | Zendy; JeanMarc Schlenker | Zendy

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Collisions of Particles in Locally AdS Spacetimes II Moduli of Globally Hyperbolic Spaces

Author(s) -

Thierry Barbot,

Francesco Bonsante,

JeanMarc Schlenker

Publication year - 2014

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/s00220-014-2020-2

Subject(s) - gravitational singularity , mathematics , moduli space , hyperbolic space , graph , pure mathematics , hyperbolic manifold , mathematical analysis , extension (predicate logic) , hyperbolic 3 manifold , metric (unit) , hyperbolic function , relatively hyperbolic group , discrete mathematics , computer science , operations management , programming language , economics

International audienceWe investigate globally hyperbolic 3-dimensional AdS manifolds containing " particles " , i.e., cone singularities of angles less than 2π along a time-like graph. To each such space (equipped with a time-like vector field satisfying some additional properties) we associate a graph and a finite family of pairs of hyperbolic surfaces with cone singularities. We show that this data is sufficient to recover the space locally (i.e., in the neighborhood of a fixed metric). This is a partial extension of a result of Mess for non-singular globally hyperbolic AdS manifolds

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