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The universal phase space of AdS3 gravity | | Carlos Scarinci
; Kirill Krasnov
; | | Date: |
28 Nov 2011 | | Abstract: | We describe what can be called the "universal" phase space of AdS3 gravity,
in which the moduli spaces of globally hyperbolic AdS spacetimes with compact
spatial sections, as well as the moduli spaces of multi black hole spacetimes
are realized as submanifolds. The universal phase space is parameterized by two
copies of the universal Teichmuller space T(1). The parameterization is
obtained from the correspondence between maximal surfaces in AdS3 and
quasi-symmetric homeomorphisms of the unit circle. This yields a symplectic map
from T^starT(1) to T(1)xT(1) generalizing the well-known Mess map in the
compact spatial surface setting. We also relate our parametrization to the
Chern-Simons formulation of 2+1 gravity and, infinitesimally, to the
holographic (Fefferman-Graham) description. In particular, we relate the
charges arising in the holographic description (such as the mass and angular
momentum of an AdS3 spacetime) to the periods of the quadratic differentials
arising via the Bers embedding of T(1)xT(1). | | Source: | arXiv, 1111.6507 | | Services: | Forum | Review | PDF | Favorites | |
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