# Lorentz Gauge and Coulomb Gauge for Tetrad Field of Gravity

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## Abstract

**:**

## 1. Introduction

## 2. Mathematical Representation of LIFs

## 3. Lorentz Connection One-Form

## 4. Lorentz Gauge and Coulomb Gauge for Tetrad Fields

## 5. Remarks and Discussion

## 6. Conclusions and Summary

## Funding

## Data Availability Statement

## Conflicts of Interest

## References

- Carroll, S. Spacetime and Geometry: An Introduction to General Relativity; Addison Wesley: San Francisco, CA, USA, 2004; Available online: https://books.google.com.hk/books?id=1SKFQgAACAAJ (accessed on 16 October 2022).
- Nakahara, M. Geometry, Topology and Physics; Institute of Physics Publishing: Bristol, UK, 2003. [Google Scholar]
- Chen, X.S.; Zhu, B.-C. True radiation gauge for gravity. Phys. Rev. D
**2011**, 83, 061501. [Google Scholar] [CrossRef][Green Version] - Chen, X.S.; Zhu, B.-C. Physical decomposition of the gauge and gravitational fields. Phys. Rev. D
**2011**, 83, 084006. [Google Scholar] [CrossRef][Green Version] - Aldrovandi, R.; Pereira, J. Teleparallel Gravity: An Introduction; Fundamental Theories of Physics; Springer: Dordrecht, The Netherlands, 2012; Available online: https://books.google.com/books?id=2dZ5zuKe_fUC (accessed on 16 October 2022).
- Frankel, T. The Geometry of Physics: An Introduction; Cambridge University Press: Cambridge, UK, 2011. [Google Scholar]
- Misner, C.; Thorne, K.; Wheeler, J. Gravitation; Freeman: San Francisco, CA, USA, 1973; Available online: https://books.google.com.hk/books?id=w4Gigq3tY1kC (accessed on 16 October 2022).
- Chen, X.-S.; Lü, X.-F.; Sun, W.-M.; Wang, F.; Goldman, T. Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited. Phys. Rev. Lett.
**2008**, 100, 232002. [Google Scholar] [CrossRef] [PubMed][Green Version] - Chen, X.-S.; Lü, X.-F.; Sun, W.-M.; Wang, F.; Goldman, T. Do gluons carry half of the nucleon momentum? Phys. Rev. Lett.
**2009**, 103, 062001. [Google Scholar] [CrossRef] [PubMed] - Duan, Y.-S.; Ge, M.-L. SU(2) gauge theory and electro-dynamics of Nmoving magnetic monopoles. Sci. Sin.
**1979**, 11, 1072. [Google Scholar] - Hou, B.-Y.; Duan, Y.-S.; Ge, M.-L. The decomposition and reduction of gauge field and dual charged solution of Abelianizable field. Sci. Sin.
**1978**, 21, 45. [Google Scholar]

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**MDPI and ACS Style**

Zhou, T. Lorentz Gauge and Coulomb Gauge for Tetrad Field of Gravity. *Universe* **2022**, *8*, 659.
https://doi.org/10.3390/universe8120659

**AMA Style**

Zhou T. Lorentz Gauge and Coulomb Gauge for Tetrad Field of Gravity. *Universe*. 2022; 8(12):659.
https://doi.org/10.3390/universe8120659

**Chicago/Turabian Style**

Zhou, Tao. 2022. "Lorentz Gauge and Coulomb Gauge for Tetrad Field of Gravity" *Universe* 8, no. 12: 659.
https://doi.org/10.3390/universe8120659