Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leaky covariant phase spaces: Theory and application to $\Lambda$-BMS
  symmetry   The present thesis aims at providing a unified description of radiative phase
spaces in General Relativity for any value of the cosmological constant using
covariant phase space methods. We start by considering generic asymptotically
locally (A)dS spacetimes with leaky boundary conditions in the
Starobinsky/Fefferman-Graham gauge. The boundary structure is allowed to
fluctuate and plays the role of source yielding some flux of gravitational
radiation at the boundary. The holographic renormalization procedure is
employed to obtain finite surface charges for the whole class of boundary
diffeomorphisms and Weyl rescalings. We then propose a boundary gauge fixing
isolating the radiative boundary degrees of freedom without constraining the
Cauchy problem in asymptotically dS spacetimes. The residual gauge
transformations form the infinite-dimensional $\Lambda$-BMS algebroid, which
reduces to the Generalized BMS algebra of smooth supertranslations and
super-Lorentz transformations in the flat limit. The analysis is repeated in
the Bondi gauge in which we identify the analogues of the Bondi news, mass and
angular momentum aspects in the presence of a cosmological constant. We give a
prescription to perform the flat limit of the phase space and demonstrate how
to use this connection to renormalize the corresponding phase space of
asymptotically locally flat spacetimes at null infinity including smooth
super-Lorentz transformations. In that context, we discuss the memory effects
associated with super-Lorentz vacuum transitions and finally provide a new
definition of the BMS charges whose fluxes are compatible with soft theorems.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph