TL;DR
This paper examines conserved quantities like energy, momentum, and angular momentum in Poincaré Gauge Theory, ensuring well-defined Hamiltonian variations and comparing different expressions within the context of asymptotically flat gravitating systems.
Contribution
It introduces well-defined Hamiltonian boundary terms for conserved quantities in Poincaré Gauge Theory and compares these with existing expressions in the literature.
Findings
Hamiltonian variations are well-defined with an appropriate phase space.
The paper provides a comparison of different conserved quantity expressions.
It clarifies the role of boundary terms in Poincaré Gauge Theory.
Abstract
We discuss two expressions for the conserved quantities (energy momentum and angular momentum) of the Poincar\'e Gauge Theory. We show, that the variations of the Hamiltonians, of which the expressions are the respective boundary terms, are well defined, if we choose an appropriate phase space for asymptotic flat gravitating systems. Furthermore, we compare the expressions with others, known from the literature.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.