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Article Dans Une Revue Communications in Mathematical Physics Année : 2014

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

Résumé

We 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.

Dates et versions

hal-01325841 , version 1 (02-06-2016)

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Thierry Barbot, Francesco Bonsante, Jean-Marc Schlenker. Collisions of Particles in Locally AdS Spacetimes II Moduli of Globally Hyperbolic Spaces.. Communications in Mathematical Physics, 2014, 327 (3), pp.691-735. ⟨10.1007/s00220-014-2020-2⟩. ⟨hal-01325841⟩
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