Recognition: unknown
The hyperbolic positive energy theorem
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We show that the causal-future-directed character of the energy-momentum vector of $n$-dimensional asymptotically hyperbolic Riemannian manifolds with spherical conformal infinity, $n\ge 3$, can be traced back to that of asymptotically Euclidean general-relativistic initial data sets satisfying the dominant energy condition.
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Forward citations
Cited by 4 Pith papers
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Positive mass theorem for initial data sets with arbitrary ends
The positive mass theorem holds for complete asymptotically hyperbolic manifolds satisfying the dominant energy condition, including those with arbitrary ends.
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The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
The spacetime positive mass theorem holds for asymptotically flat and hyperboloidal initial data in all dimensions.
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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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Positivity of holographic energy
Positivity is proven for a weighted holographic energy in 4D asymptotically AdS spacetimes with conformally static boundaries of spherical or toroidal topology.
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