Proof of Positive Energy Theorem by spacetime foliations
Volume 110 / 2016
Banach Center Publications 110 (2016), 115-120
MSC: Primary 83C40; Secondary 53C12.
DOI: 10.4064/bc110-0-8
Abstract
In 1986 J. Kijowski presented a surprisingly simple idea for a proof of positive definiteness of ADM mass, based on a smart choice of a $(2+1)$ foliation of the Cauchy surface and requiring elementary tools of differential geometry only. We review this reasoning and discuss an alternative choice of foliation.
