English

The Energy of a Dynamical Wave-Emitting System in General Relativity

General Relativity and Quantum Cosmology 2022-10-12 v1 Astrophysics

Abstract

The problem of energy and its localization in general relativity is critically re-examined. The Tolman energy integral for the Eddington spinning rod is analyzed in detail and evaluated apart from a single term. It is shown that a higher order iteration is required to find its value. Details of techniques to solve mathematically challenging problems of motion with powerful computing resources are provided. The next phase of following a system from static to dynamic to final quasi-static state is described.

Keywords

Cite

@article{arxiv.gr-qc/0302020,
  title  = {The Energy of a Dynamical Wave-Emitting System in General Relativity},
  author = {F. I. Cooperstock and S. Tieu},
  journal= {arXiv preprint arXiv:gr-qc/0302020},
  year   = {2022}
}

Comments

36 pages, 2 figures, to appear in Foundations of Physics