Brown-York charges with mixed boundary conditions

Abstract We compute the Hamiltonian surface charges of gravity for a family of conservative boundary conditions, that include Dirichlet, Neumann, and York’s mixed boundary conditions defined by holding fixed the conformal induced metric and the trace of the extrinsic curvature. We show that for all...

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Autores principales:	Gloria Odak, Simone Speziale
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/57ac3d2e61714a00a88e45c05613cd8c
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id	oai:doaj.org-article:57ac3d2e61714a00a88e45c05613cd8c
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spelling	oai:doaj.org-article:57ac3d2e61714a00a88e45c05613cd8c2021-12-05T12:24:52ZBrown-York charges with mixed boundary conditions10.1007/JHEP11(2021)2241029-8479https://doaj.org/article/57ac3d2e61714a00a88e45c05613cd8c2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)224https://doaj.org/toc/1029-8479Abstract We compute the Hamiltonian surface charges of gravity for a family of conservative boundary conditions, that include Dirichlet, Neumann, and York’s mixed boundary conditions defined by holding fixed the conformal induced metric and the trace of the extrinsic curvature. We show that for all boundary conditions considered, canonical methods give the same answer as covariant phase space methods improved by a boundary Lagrangian, a prescription recently developed in the literature and thus supported by our results. The procedure also suggests a new integrable charge for the Einstein-Hilbert Lagrangian, different from the Komar charge for non-Killing and non-tangential diffeomorphisms. We study how the energy depends on the choice of boundary conditions, showing that both the quasi-local and the asymptotic expressions are affected. Finally, we generalize the analysis to non-orthogonal corners, confirm the matching between covariant and canonical results without any change in the prescription, and discuss the subtleties associated with this case.Gloria OdakSimone SpezialeSpringerOpenarticleClassical Theories of GravityGauge SymmetrySpace-Time SymmetriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-28 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Gloria Odak Simone Speziale Brown-York charges with mixed boundary conditions
description	Abstract We compute the Hamiltonian surface charges of gravity for a family of conservative boundary conditions, that include Dirichlet, Neumann, and York’s mixed boundary conditions defined by holding fixed the conformal induced metric and the trace of the extrinsic curvature. We show that for all boundary conditions considered, canonical methods give the same answer as covariant phase space methods improved by a boundary Lagrangian, a prescription recently developed in the literature and thus supported by our results. The procedure also suggests a new integrable charge for the Einstein-Hilbert Lagrangian, different from the Komar charge for non-Killing and non-tangential diffeomorphisms. We study how the energy depends on the choice of boundary conditions, showing that both the quasi-local and the asymptotic expressions are affected. Finally, we generalize the analysis to non-orthogonal corners, confirm the matching between covariant and canonical results without any change in the prescription, and discuss the subtleties associated with this case.
format	article
author	Gloria Odak Simone Speziale
author_facet	Gloria Odak Simone Speziale
author_sort	Gloria Odak
title	Brown-York charges with mixed boundary conditions
title_short	Brown-York charges with mixed boundary conditions
title_full	Brown-York charges with mixed boundary conditions
title_fullStr	Brown-York charges with mixed boundary conditions
title_full_unstemmed	Brown-York charges with mixed boundary conditions
title_sort	brown-york charges with mixed boundary conditions
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/57ac3d2e61714a00a88e45c05613cd8c
work_keys_str_mv	AT gloriaodak brownyorkchargeswithmixedboundaryconditions AT simonespeziale brownyorkchargeswithmixedboundaryconditions
_version_	1718371957179678720

Brown-York charges with mixed boundary conditions

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