The modification of the Einstein and Landau-Lifshitz pseudotensrs
Lau Loi So
TL;DR
This paper explores modifications to Einstein and Landau-Lifshitz pseudotensors to produce a gravitational energy-momentum expression proportional to the Bel-Robinson tensor in vacuum, enhancing theoretical consistency.
Contribution
It introduces specific modifications to existing pseudotensors to align their vacuum properties with the Bel-Robinson tensor, advancing gravitational energy-momentum formulations.
Findings
Modified pseudotensors match the Bel-Robinson tensor in vacuum
Both pseudotensors yield the same coefficient in holonomic frames
Enhances understanding of gravitational energy localization
Abstract
Deser et al. proposed a combination of the Einstein and Landau-Lifshitz pseudotensors such that the second derivatives in vacuum are proportional to the Bel-Robinson tensor. Stimulated by their work, the present paper discuss the gravitational energy-momentum expression which has the same desirable Bel-Robinson tensor property. We find modifications of the Einstein and Landau-Lifshitz pseudotensors that both give the same coefficient of the Bel-Robinson tensor in vacuum in holonomic frames.
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Taxonomy
TopicsCosmology and Gravitation Theories · Advanced Differential Geometry Research · Pulsars and Gravitational Waves Research