Dynamical Hamilton Density of Gravitational Field

DOI

10.2991/emim-16.2016.210How to use a DOI?

Keywords

General relativity; Transverse gauge condition; Einstein equation; Dynamical Hamilton density

Abstract

Following the recent study about "general transverse gauge condition" for gravity in weak field approximation in Ref [5], we revisit the energy density gauge-dependent problem of gravitational field by canonical field theory procedure in this paper. Firstly, we proof the general transverse gauge condition is meaningful and operational. Then by using the general transverse gauge condition, we can get the gauge-invariant solution of Einstein equation of general relativity. The final total Hamilton density of gravitational field obtained by our procedure shows some interesting properties: i) it is absolutely gauge-invariant and thus has no gauge-dependent problem. ii) It can be divided into two parts, pure dynamical and pure instantaneous. Just like what we had known the electromagnetic energy density in electrodynamics. iii) It differs from the traditional effective stress-energy tensor (TT means Transverse-Traceless part of metric in weak field approximation) in radiation by an additional term , which may contribute some energy in total radiation system.

Copyright

© 2016, 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  - Benchao Zhu
AU  - Pengcheng Zhang
AU  - Weiwei Jiang
AU  - Fan Zhang
PY  - 2016/04
DA  - 2016/04
TI  - Dynamical Hamilton Density of Gravitational Field
BT  - Proceedings of the 6th International Conference on Electronic, Mechanical, Information and Management Society
PB  - Atlantis Press
SP  - 1020
EP  - 1025
SN  - 2352-538X
UR  - https://doi.org/10.2991/emim-16.2016.210
DO  - 10.2991/emim-16.2016.210
ID  - Zhu2016/04
ER  -