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Published in 2017 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-017-2321-9
Abstract: The quasi-local scalar variables approach is applied to a spherically symmetric inhomogeneous Lemaître–Tolman–Bondi metric containing a mixture of non-relativistic cold dark matter and coupled dark energy with constant equation of state. The quasi-local coupling term…
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Keywords:
energy;
matter;
quasi local;
dark energy ... See more keywords
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Published in 2018 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-018-2484-z
Abstract: The specification of energy for gravitating systems has been an unsettled issue since Einstein proposed his pseudotensor. It is now understood that energy-momentum is quasi-local (associated with a closed 2-surface). Here we consider quasi-local proposals…
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Keywords:
minkowski reference;
energy;
local energy;
energy minkowski ... See more keywords
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Published in 2022 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-022-02912-9
Abstract: The article aims to analyze a construction of charges (conserved quantities) for the gravity field in the (3+1) decomposition. The construction is based on (3+1) splitting of conformal Yano–Killing (CYK) two-form. The splitting leads to…
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Keywords:
asymptotics spatial;
quasi local;
instantaneous charges;
charges asymptotics ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.013
Abstract: Abstract Very recently, Spakula and Tikuisis provide a new characterisation of (uniform) Roe algebras via quasi-locality when the underlying metric spaces have straight finite decomposition complexity. In this paper, we improve their method to deal…
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Keywords:
roe;
local characterisation;
roe algebras;
quasi local ... See more keywords
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Published in 2021 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac0a86
Abstract: We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the…
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Keywords:
initial boundary;
value problem;
quasi local;
boundary value ... See more keywords