Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brown-York charges with mixed boundary conditions   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 the covariant and canonical results without any
change in the prescription, and discuss the subtleties associated with this
case.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas