منابع مشابه
Quasi-localisation of Bondi-Sachs energy loss
Abstract. A formula is given for the variation of the Hawking energy along any oneparameter foliation of compact spatial 2-surfaces. A surface for which one null expansion is positive and the other negative has a preferred orientation, with a spatial or null normal direction being called outgoing or ingoing as the area increases or decreases respectively. A natural way to propagate such a surfa...
متن کاملCanonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry
We construct canonical realizations of the bms3 algebra as symmetry algebras of a free KleinGordon (KG) field in 2 + 1 dimensions, for both the massive and massless case. We consider two types of realizations, one on-shell, written in terms of the Fourier modes of the scalar field, and the other one off-shell with non-local transformations written in terms of the KG field and its momenta. These...
متن کاملInitial Value Formalism for Lemaitre-tolman-bondi Collapse
Formulating a dust filled spherically symmetric metric utilizing the 3 + 1 formalism for general relativity, we show that the metric coefficients are completely determined by the matter distribution throughout the spacetime. Furthermore, the metric describes both inhomogeneous dust regions and also vacuum regions in a single coordinate patch, thus alleviating the need for complicated matching s...
متن کاملBondi-Sachs energy-momentum for the constant mean extrinsic curvature initial value problem
The constraints on the asymptotic behavior of the conformal factor and conformal extrinsic curvature imposed by the initial value equations of general relativity on constant mean extrinsic curvature (CMC) hypersurfaces are analyzed in detail. We derive explicit formulas for the Bondi-Sachs energy and momentum in terms of coefficients of asymptotic expansions on CMC hypersurfaces near future nul...
متن کاملArea density of localization-entropy II: double cone-localization and quantum origin of the Bondi-Metzner-Sachs symmetry
The holographic encoding is generalized to subalgebras of QFT localized in double cones. It is shown that as a result of this radically different spacetime encoding the modular group acts geometrically on the holographic image. As a result we obtain a formula for localization entropy which is identical to the previously derived formula for the wedge-localized subalgebra. The symmetry group in t...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2016
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.33528