A reference for the covariant Hamiltonian boundary term
arXiv:1210.6148
Abstract
The Hamiltonian for dynamic geometry generates the evolution of a spatial region along a vector field. It includes a boundary term which determines both the value of the Hamiltonian and the boundary conditions. The value gives the quasi-local quantities: energy-momentum, angular-momentum/center-of-mass. The boundary term depends not only on the dynamical variables but also on their reference values; the latter determine the ground state (having vanishing quasi-local quantities). For our preferred boundary term for Einstein's GR we propose 4D isometric matching and extremizing the energy to determine the reference metric and connection values.
submitted to the proceedings of the conference on Relativity and Gravitation: 100 Years after Einstein in Prague
References in corpus (9)
- Pseudotensors and quasilocal energy-momentum
- Quasilocal mass in general relativity
- Relativistic conservation laws and integral constraints for large cosmological perturbations
- Isometric embeddings into the Minkowski space and new quasi-local mass
- Quasilocal Energy-Momentum for Geometric Gravity Theories
- The Brown-York mass and the Thorne hoop conjecture
- Optimal Choices of Reference for Quasi-local Energy
- Quasi-local Energy for Spherically Symmetric Spacetimes
- Optimal Choices of Reference for a Quasi-local Energy: Spherically Symmetric Spacetimes