Proceedings of the 6th International Conference on Electronic, Mechanical, Information and Management Society

Dynamical Hamilton Density of Gravitational Field

Authors
Benchao Zhu, Pengcheng Zhang, Weiwei Jiang, Fan Zhang
Corresponding Author
Benchao Zhu
Available Online April 2016.
DOI
https://doi.org/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.
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Proceedings
6th International Conference on Electronic, Mechanical, Information and Management Society
Part of series
Advances in Computer Science Research
Publication Date
April 2016
ISBN
978-94-6252-176-6
ISSN
2352-538X
DOI
https://doi.org/10.2991/emim-16.2016.210How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - 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  - https://doi.org/10.2991/emim-16.2016.210
ID  - Zhu2016/04
ER  -