Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 33, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/33/1/015013
Keywords
gravity; Dirichlet boundary conditions; asymptotic symmetries
Categories
Funding
- European Research Council under the European Union's Seventh Framework Programme (ERC Grant agreement) [307955]
- National Science Foundation [PHY12-05500, PHY15-04541, PHY11-25915]
- University of California
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It is natural to regulate an infinite-sized system by imposing a boundary condition at finite distance, placing the system in a 'box.' This breaks symmetries, though the breaking is small when the box is large. One should thus be able to obtain the asymptotic symmetries of the infinite system by studying regulated systems. We provide concrete examples in the context of Einstein-Hilbert gravity (with negative or zero cosmological constant) by showing in 4 or more dimensions how the anti-de Sitter and Poincare asymptotic symmetries can be extracted from gravity in a spherical box with Dirichlet boundary conditions. In 2 vertical bar 1 dimensions we obtain the full double-Virasoro algebra of asymptotic symmetries for AdS(3) and, correspondingly, the full Bondi-Metzner-Sachs (BMS) algebra for asymptotically flat space. In higher dimensions, a related approach may continue to be useful for constructing a good asymptotically flat phase space with BMS asymptotic symmetries.
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