Dimensional reduction to hypersurface of foliation
arXiv:1310.2507 · doi:10.1002/prop.201400068
Abstract
When the bulk spacetime has a foliation structure, the collective dynamics of the hypersurfaces should reveal certain aspects of the bulk physics. The procedure of reducing the bulk to a hypersurface, called ADM reduction, was implemented in \cite{Park:2013iqa} where the 4D Einstein-Hilbert action was reduced along the radial reduction. In this work, reduction along the angular directions is considered {with a main goal to firmly establish the method of dimensional reduction to a hypersurface of foliation.} We obtain a theory on a 2D plane (the -plane) and observe that novel and elaborate boundary effects are crucial for the consistency of the reduction. The reduction leads to a 2D interacting quantum field theory. We comment on its application to black hole information physics.
16 pages, 3 figures, appendix added, version to appear in Fortsch.Phys
References in corpus (4)
Cited by in corpus (14)
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- Quantum gravitational effects on boundary
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- The fate of boundary terms in dimensional reductions