Energy Density of Gravitational Field in General Transverse Gauge

DOI

10.2991/meic-15.2015.181How to use a DOI?

Keywords

General relativity; Transvers gauge; Energy-momentum; Eseudo-tensors; Energy density

Abstract

In this paper, firstly, we will prove there is a general transverse gauge in general relativity for linear approximation. This gauge condition can play the same role as the radiation gauge condition in electrodynamics. It means that the non-physical metric tensor and affine connection can be removed by this general transverse gauge. Then, by using this gauge condition, the energy density of gravitational can be revisited. we prove that the energy distribution of pure gravitational field out of the source can be upgraded by using the Einstein, Weinberg and Landau-Lifshitz energy-momentum pseudo-tensors in general transverse gauge. Furthermore, the different parameter in general transverse gauge will bring some interesting conclusions, and these different results are also discussed detail in this paper. Finally, by the concrete computing the energy density of one gravitational source, we find the expression for Einstein is the most useful definition of energy-momentum in calculating energy density of gravity. This result successfully overcomes the last-standing problem of energy density of gravitational field .

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ben Chao Zhu
AU  - Gauang Xiao He
AU  - Jia Guo
AU  - Peng Cheng Zhang
PY  - 2015/04
DA  - 2015/04
TI  - Energy Density of Gravitational Field in General Transverse Gauge
BT  - Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 792
EP  - 795
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-15.2015.181
DO  - 10.2991/meic-15.2015.181
ID  - Zhu2015/04
ER  -