Dynamical Hamilton Density of Gravitational Field
Benchao Zhu, Pengcheng Zhang, Weiwei Jiang, Fan Zhang
Available Online April 2016.
- https://doi.org/10.2991/emim-16.2016.210How to use a DOI?
- General relativity; Transverse gauge condition; Einstein equation; Dynamical Hamilton density
- Following the recent study about "general transverse gauge condition" for gravity in weak field approximation in Ref , 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.
- 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 -