Gravity Degrees of Freedom on a Null Surface
Florian Hopfm\"uller, Laurent Freidel
TL;DR
This paper performs a canonical analysis of general relativity on a null surface, revealing new spin-1 and spin-0 pairs alongside the known spin-2, and derives the boundary action including corner terms.
Contribution
It introduces a gauge-independent canonical formulation on null surfaces and identifies additional degrees of freedom beyond the traditional spin-2 modes.
Findings
Identifies spin-1 and spin-0 pairs in the canonical variables.
Derives the boundary action for null segments including corner contributions.
Provides a gauge-independent canonical analysis of null surface gravity.
Abstract
A canonical analysis for general relativity is performed on a null surface without fixing the diffeomorphism gauge, and the canonical pairs of configuration and momentum variables are derived. Next to the well-known spin-2 pair, also spin-1 and spin-0 pairs are identified. The boundary action for a null boundary segment of spacetime is obtained, including terms on codimension two corners.
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