Quasi-local conserved charges in General Relativity
Henk Bart
TL;DR
This paper proposes a general method for defining quasi-local conserved quantities in General Relativity, applying it to BMS symmetries to introduce quasi-local BMS charges, with the zero mode potentially serving as a quasi-local energy measure.
Contribution
It introduces a new prescription for quasi-local conserved charges in General Relativity and applies it to BMS symmetries in Newman-Unti gauge.
Findings
Defined quasi-local BMS charges in Newman-Unti gauge
Identified the zero mode as a promising quasi-local energy
Provided a general framework for quasi-local conserved quantities
Abstract
A general prescription for constructing quasi-local conserved quantities in General Relativity is proposed. The construction is applied to BMS symmetry generators in Newman-Unti gauge, so as to define quasi-local BMS charges. It is argued that the zero mode of this BMS charge is a promising definition of quasi-local energy.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories