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

References in corpus (5)

• Gravitational action with null boundaries
• Boundary and Corner Terms in the Action for General Relativity
• Renormalized AdS action and Critical Gravity
• First order gravity on the light front
• Hamiltonian analysis of the double null 2+2 decomposition of General Relativity expressed in terms of self-dual bivectors

Cited by in corpus (1)

• Geometrical tools for embedding fields, submanifolds, and foliations