Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2022)029
Keywords
Classical Theories of Gravity; Gauge-gravity correspondence
Categories
Funding
- NSF [PHY-1707800, PHY-2110463]
- John and David Boochever prize fellowship in fundamental theoretical physics
- Air Force Office of Scientific Research [FA9550-19-1-036]
- Government of Canada through the Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Colleges and Universities
- Berkeley Center for Theoretical Physics
- Department of Energy, Office of Science, Office of High Energy Physics under QuantISED Award [DE-SC0019380, DEAC02-05CH11231]
- National Science Foundation [PHY-1820912]
- Simons Foundation [816048]
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The Brown-York stress tensor is generalized to null hypersurfaces in this paper. The formula for the mixed-index tensor is independent of the choice of auxiliary null vector and satisfies a conservation equation. The application of the null Brown-York stress tensor to symmetries is discussed.
The Brown-York stress tensor provides a means for defining quasilocal gravitational charges in subregions bounded by a timelike hypersurface. We consider the generalization of this stress tensor to null hypersurfaces. Such a stress tensor can be derived from the on-shell subregion action of general relativity associated with a Dirichlet variational principle, which fixes an induced Carroll structure on the null boundary. The formula for the mixed-index tensor T-j(i) takes a remarkably simple form that is manifestly independent of the choice of auxiliary null vector at the null surface, and we compare this expression to previous proposals for null Brown-York stress tensors. The stress tensor we obtain satisfies a covariant conservation equation with respect to any connection induced from a rigging vector at the hypersurface, as a result of the null constraint equations. For transformations that act covariantly on the boundary structures, the Brown-York charges coincide with canonical charges constructed from a version of the Wald-Zoupas procedure. For anomalous transformations, the charges differ by an intrinsic functional of the boundary geometry, which we explicity verify for a set of symmetries associated with finite null hyper-surfaces. Applications of the null Brown-York stress tensor to symmetries of asymptotically flat spacetimes and celestial holography are discussed.
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