Proves the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimensions using Brendle-Wang's Riemannian positive mass theorem.
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Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.
A relative holographic energy coincides with the relative Hamiltonian energy.
citing papers explorer
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The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Proves the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimensions using Brendle-Wang's Riemannian positive mass theorem.
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Positivity of holographic energy
Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.
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Holographic is Hamiltonian, relatively
A relative holographic energy coincides with the relative Hamiltonian energy.