New positive small vacuum region gravitational energy expressions

Abstract

We construct an infinite number of new holonomic quasi-local gravitational energy-momentum density pseudotensors with good limits asymptotically and in small regions, both materially and in vacuum. For small vacuum regions they are all a positive multiple of the Bel-Robinson tensor and consequently have positive energy.

4 pages

References in corpus (5)

• Positivity of Quasilocal Mass
• Quasilocal mass in general relativity
• The Hamiltonian boundary term and quasi-local energy flux
• Energy-momentum density in small regions: the classical pseudotensors
• Gravitational energy-momentum in small regions according to the tetrad-teleparallel expressions

Cited by in corpus (2)

• Gravitational Energy for GR and Poincare Gauge Theories: a Covariant Hamiltonian Approach
• Quasi-local energy from a Minkowski reference