A modification of the Chen-Nester quasilocal expressions

Abstract

Chen and Nester proposed four boundary expressions for the quasilocal quantities using the covariant Hamiltonian formalism. Based on these four expressions, there is a simple generalization that one can consider, so that a two parameter set of boundary expressions can be constructed. Using these modified expressions, a nice result for gravitational energy-momentum can be obtained in holonomic frames.

arXiv comment11 pages

References in corpus (3)

• Relativistic conservation laws and integral constraints for large cosmological perturbations
• Quasilocal quantities for GR and other gravity theories
• The Hamiltonian boundary term and quasi-local energy flux

Cited by in corpus (5)

• Gravitational Energy for GR and Poincare Gauge Theories: a Covariant Hamiltonian Approach
• A Proposal for Determining the Energy Content of Gravitational Waves by Using Approximate Symmetries of Differential Equations
• Conformally flat black holes in Poincaré gauge theory
• Gravitational energy from a combination of a tetrad expression and Einstein's pseudotensor
• Gravitational energy in a small region for the modified Einstein and Landau-Lifshitz pseudotensors