Stress tensor on null boundaries

2019/01/31 by Ghadir Jafari
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Cauchy stress tensor #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Curvature #Embedding #Energy condition #Exact solutions in general relativity #General relativity #Geometry #Gravitation #Gravitational energy #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Null (SQL) #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Spacetime #Stress–energy tensor #Tensor (intrinsic definition) #Weyl tensor #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.99.104035

published as Phys. Rev. D 99, 104035 (2019) · 25 pages, 3 figures,new subsection dealing with null hyperfufaces in AAdS space,some new references have been added,version published in PRD

openalex publication_date 2019/05/15 · arxiv created 2019/05/16 · arxiv updated 2019/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 [Classical Quantum Gravity 36, 015012 (2019)], we propose a similar stress tensor on the null boundary. Then we exploit this stress tensor to compute the quasilocal 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 thereby avoiding embedding difficulties.

Citations

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