Quasi-local energy for cosmological models

Abstract

First we briefly review our covariant Hamiltonian approach to quasi-local energy, noting that the Hamiltonian-boundary-term quasi-local energy expressions depend on the chosen boundary conditions and reference configuration. Then we present the quasi-local energy values resulting from the formalism applied to homogeneous Bianchi cosmologies. Finally we consider the quasi-local energies of the FRW cosmologies. Our results do not agree with certain widely accepted quasi-local criteria.

Contributed to International Symposium on Cosmology and Particle Astrophysics (CosPA 2006), Taipei, Taiwan, 15-17 Nov 2006

References in corpus (4)

• Pseudotensors and quasilocal energy-momentum
• Quasilocal quantities for GR and other gravity theories
• Quasilocal Energy-Momentum for Geometric Gravity Theories
• The Hamiltonian boundary term and quasi-local energy flux

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• Gravitational energy, gravitational pressure, and the thermodynamics of a charged black hole in teleparallel gravity
• Quasi-local Energy for Spherically Symmetric Spacetimes
• Optimal Choices of Reference for a Quasi-local Energy: Spherically Symmetric Spacetimes
• Quasi-local energy and the choice of reference
• Quasilocal conservation laws in cosmology: a first look
• Energy of cosmological spacetimes and perturbations: a quasilocal approach
• Gravitational energy of a magnetized Schwarzschild black hole - a teleparallel approach
• The energy of the universe in the Bianchi type-II cosmological model