Positivity of holographic energy
Piotr T. Chru\'sciel, Raphaela Wutte
TL;DR
This paper proves the positivity of a specific holographic energy in certain four-dimensional spacetimes with negative cosmological constant and particular boundary geometries.
Contribution
It establishes the positivity of a weighted holographic energy for a class of four-dimensional asymptotically AdS spacetimes with static conformal boundaries.
Findings
Positivity of holographic energy is proven for spherical boundary sections.
Positivity is also proven for toroidal boundary sections with compatible spin structures.
The results apply to spacetimes with negative cosmological constant and conformally static boundaries.
Abstract
We prove positivity of a weighted holographic energy for four-dimensional spacetimes with negative cosmological constant whose conformal boundary at infinity is conformally static and admits either spherical sections, or toroidal sections with compatible spin structure.
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