Limit of quasilocal mass at spatial infinity

Abstract

We study the limit of quasilocal mass defined in [4] and [5] for a family of spacelike 2-surfaces in spacetime. In particular, we show the limit coincides with the ADM mass at spatial infinity. The limit for coordinate spheres of a boosted slice of the Schwarzchild solution is computed explicitly and shown to give the expected energy-momentum four vector.

16 pages, a new section ``Review of the definition of quasilocal energy" is added. Typos corrected

References in corpus (3)

• Positivity of Quasilocal Mass
• Quasilocal mass in general relativity
• Isometric embeddings into the Minkowski space and new quasi-local mass

Cited by in corpus (6)

• Conserved quantities in general relativity: from the quasi-local level to spatial infinity
• Evaluating quasilocal energy and solving optimal embedding equation at null infinity
• Properties of Quasi-local mass in binary black hole mergers
• Aspects of Quasi-local energy for gravity coupled to gauge fields
• Quasi-local mass on unit spheres at spatial infinity
• Strong field behavior of Wang-Yau Quasi-local energy