Attractive gravity probe surface, positivity of quasi-local mass and Arnowitt-Deser-Misner mass expression

Author:

Tetsuya Shiromizu, Keisuke Izumi

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc)

journal:

date:

2023-10-16 16:00:00

Abstract

Under certain conditions, it is shown that the positivity of the Geroch/Hawking quasi-local mass holds for the attractive gravity probe surfaces in any higher dimensions than three. We also comment on the Arnowitt-Deser-Misner mass.

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