Positivity of Holographic Energy

Piotr T. Chruściel; Raphaela Wutte

doi:10.1103/6bt4-r4q1

Positivity of Holographic Energy

Piotr T. Chruściel ^*

Raphaela Wutte ^†

Beijing Institute of Mathematical Sciences and Applications, Huairou, China and Center for Theoretical Physics of the Polish Academy of Sciences, Warsaw, Poland

Mathematical Sciences and STAG Research Centre, University of Southampton, Highfield, SO17 1BJ Southampton, United Kingdom

^*https://homepage.univie.ac.at/piotr.chrusciel/
^†Contact author: rwutte@hep.itp.tuwien.ac.at

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Phys. Rev. Lett. 136, 181401 – Published 6 May, 2026

DOI: https://doi.org/10.1103/6bt4-r4q1

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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4 June, 2026

Correction: The first affiliation was presented incorrectly and has been fixed.

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Positivity of Holographic Energy

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