Physical decomposition of the gauge and gravitational fields

Chen, Xiang-Song; Zhu, Ben‐Chao

doi:10.1103/physrevd.83.084006

Cited by 10 publications

(4 citation statements)

References 11 publications

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“…(8) to the maximum extent [7,8]. On the other hand, there is always existed a useful gauge, which also claims can remove all gauge freedom of gravitational field, is transverse-traceless (TT) gauge for long time (first proposed by Arnowitt, Deser and Misner (ADM) [2]) and also be discussed in Ref.…”

Section: Into Linearized Einstein's Field Equation Belowmentioning

confidence: 99%

Dynamical Hamilton Density of Gravitational Field

Zhu¹,

Zhang²,

Jiang³

et al. 2016

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

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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 00 1 2 hh , which may contribute some energy in total radiation system.

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Section: Into Linearized Einstein's Field Equation Belowmentioning

confidence: 99%

Dynamical Hamilton Density of Gravitational Field

Zhu¹,

Zhang²,

Jiang³

et al. 2016

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

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“…It means we can eliminate the spurious gravitational effect of the gravitational energy density by using the physical termˆ   instead of    and using the pure-gauge covariant derivatives instead of covariant derivatives. In Ref [4], we also presented the concrete procedure to compute a physically meaningful energy density of the gravitational field. For a finite and weak gravitational system, we can use vanishing boundary values, and apply perturbative expansions for bothˆ …”

Section: Eq (3)mentioning

confidence: 99%

Static Schwarzschild Affine Connection Revised by Physical Decomposition of Gravitational Field

Zhu¹,

Guo²,

He³

et al. 2015

Proceedings of the 2015 International Conference on Mechatronics, Electronic, Industrial and Control Engineering

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Physical decomposition of gauge fields and gravitational field are interesting subjects for many researchers [1, 2, 3, 4]. The decomposition of gauge field in Refs[1,2,3] has successfully solved the two-decade gauge problem of a meaningful gluon spin. Ref[4] extended this method to the gravitational field and attacked the longstanding problem of gravitational energy density. The metric is unambiguously separated into a pure geometric term which contributes null curvature tensor, and a physical term which represents the true gravitational effect and always vanishes in a flat space-time. In this paper, we will find the static Schwarzschild solution in the physical decomposition of gravitational field. Moreover, we compare the above solution with the ordinary static Schwarzschild solution. The differences between them show that there perhaps exist some unknown gravitational field energy out of static gravitational source. This conclusion probably help us to find the graviton from the deep universe by the modern advanced doctors.

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“…In Ref. [2], the metric tensor g  is unambiguously decomposed into the sum of a physical termĝ  , which represents the true gravitational effect, and a pure geometric term g  , which represents the spurious gravitational effect associated with coordinate choice. Affine connection is also decomposed into physical part and pure geometric part: …”

Section: Physical Decomposition and Gauge-fixing Condition Of Gravitamentioning

confidence: 99%

“…Unfortunately, the energy-momentum tensor of gravitational field is still an unsolved problem for 100 years. Only recent years, we revisited this old problem through the physical decomposition of gravitational field [2]. Only after solving the gauge-dependent problem of energy density of gravitational field, we can do attempt to research the energy density relation between moving electric charge and moving gravity "charge".…”

Section: Introductionmentioning

confidence: 99%

Research on the Gauge-Invariant Energy Density of Similar Electromagnetic Properties of Gravitational Field

Zhu¹,

Jiang²,

Zhang³

2016

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

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Abstract. This paper will focus on the relation between gauge-invariant energy density of gravitational field and electromagnetic field. After the brief review the history of finding the analogy between gravitation and electromagnetism, we recall the two different ways to remove the gauge degrees of freedom, Physical decomposition and gauge-fixing. Then, by using the gauge-fixing approach, we get the gauge-invariant energy density (Hamilton density) of gravitational field. By using the similar method into electrodynamics, we can also get the gauge-invariant energy density of electromagnetic field. Finally, while comparing with the two gauge-invariant energy density of gauge-invariant energy density of gravitational field and electromagnetic field, we find there is a similar electromagnetic energy density does appear in gravitational field. The amazing conclusion is that although the rotating electric charge with constant speed can produce static magnetic field energy, the rotating mass with constant speed cannot produce any similar "magnetic" energy in gravitational field. Only accelerated rotating mass can produce the similar "magnetic" energy, this is a peculiar property of gravitational field never reported before.

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Physical decomposition of the gauge and gravitational fields

Cited by 10 publications

References 11 publications

Dynamical Hamilton Density of Gravitational Field

Dynamical Hamilton Density of Gravitational Field

Static Schwarzschild Affine Connection Revised by Physical Decomposition of Gravitational Field

Research on the Gauge-Invariant Energy Density of Similar Electromagnetic Properties of Gravitational Field

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