TL;DR
This paper introduces a modified quasi-local mass definition that provides consistent expressions for energy, momentum, and mass, ensuring positivity and matching ADM values at infinity.
Contribution
The paper proposes a new quasi-local mass definition that improves previous models by ensuring positivity and consistency with ADM quantities at spatial infinity.
Findings
New quasi-local energy expression with positivity property
Expressions for quasi-local linear momentum and mass
Agreement with ADM quantities at spatial infinity
Abstract
We modify previous quasi-local mass definition. The new definition provides expressions of the quasi-local energy, the quasi-local linear momentum and the quasi-local mass. And they are equal to the ADM expressions at spatial infinity. Moreover, the new quasi-local energy has the positivity property.
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