2016/06/03 by Janusz Garecki, Garecki, Janusz
Physics and Astronomy · #83-02 #Astrophysics and Cosmic Phenomena #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Space Plasma Dynamics
paper · pdf · doi:10.48550/arxiv.1606.01101
openalex publication_date 2016/06/03 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
Many years ago we have introduced into general relativity, bf GR, the\ncanonical superenergy tensors, Si~k, and the canonical angular\nsupermomentum tensors, Sikl=(-)Skil, matter and gravitation. We have\nobtained these tensors by special averaging of the differences of the canonical\nenergy-momentum and canonical angular momentum. The averaging was performed in\nRiemann normal coordinates, bf RNC(P); bf P is beginning of these\ncoordinates. About four years ago we have observed that these tensors can also\nbe obtained in other, simpler way, by using the canonical superenergy and\nangular super momentum complexes, K Si~k, and, K S~ikl=(-)K\nSkil, respectively. Such complexes can be introduced into bf GR in a\nnatural way starting from canonical energy-momentum and angular momentum\ncomplexes.\n In this paper, at first, we define the canonical superenergy and angular\nsupermomentum complexes in bf GR and then, we apply them to analyze of a\nclosed system, bf CS, Trautman's radiative spacetimes, bf TRS, and\nFriedman universes, bf FU. Finally, we compare these complexes and the\nresults obtained with their help with the canonical superenergy and angular\nsupermomentum tensors and results obtained with them in past. In Appendix, for\nconvenience, we summarize our old approach to canonical superenergy and angular\nsupermomentum tensors.\n