Stress Tensor on Null Boundaries

Abstract

Using the Brown-York prescription for the definition of quasilocal gravitational energy-momentum tensor on a boundary and also complete canonical structure on a null boundary which has been found recently \cite{Aghapour:2018icu}, we propose a similar stress tensor on the null boundary. Then we exploit this stress tensor to compute the quasi-local energy and angular momentum for some well-known gravitational solutions. We have found that in addition to reference spacetime method for regularizing total energy, in the case of null boundary we can add a possible counterterm so avoiding embedding difficulties.

25 pages, 3 figures,new subsection dealing with null hyperfufaces in AAdS space,some new references have been added,version published in PRD

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Cited by in corpus (8)

• Null boundary phase space: slicings, news and memory
• Anomalies in gravitational charge algebras of null boundaries and black hole entropy
• Brown-York charges at null boundaries
• Geometrical tools for embedding fields, submanifolds, and foliations
• Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces
• Holographic complexity of Born-Infeld gravity
• Counting Black Hole Microstates at Future Null Infinity
• Dynamical Horizons and Black Hole Soft Hair