Journal of Modern Research Physics
Volume 10, Issue 1 (Spring and Summer 2025 2025)
JMRPh 2025, 10(1): 82-91 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Malekolkalami B, Shokri A J, Dwodi K. Investigation of the effects of the gravitomagnetic field a rotating sphere and band on the trajectory of a test particle. JMRPh 2025; 10 (1) :82-91
URL: http://jmrph.khu.ac.ir/article-1-271-en.html
URL: http://jmrph.khu.ac.ir/article-1-271-en.html
Abstract: (282 Views)
There are several methods for solving Einstein's field equations in gravitational interactions between particles, one of which is the weak field approximation. In this approximation, gravitational fields behave similarly to electric and magnetic fields and are described by equations akin to Maxwell's equations, referred to as quasi-Maxwellian equations in gravity In electromagnetism, the path of motion of a test particle within these fields can be determined using vector and scalar potentials. This paper employs the weak field approximation to derive the equations governing the motion of a test particle in the electromagnetic gravitational field generated by a sphere and a rotating band. Additionally, numerical calculation methods and appropriate software were utilized to plot the trajectory of the test particle in these fields under various conditions. The results indicated that the path of the test particle is influenced by whether the sphere and band are stationary, rotating together, or rotating separately. Moreover, the angular velocities of the sphere and the ribbon significantly impact the test particle's trajectory. By examining the ratio of the angular velocities of the ribbon and the sphere, different patterns of the test particle's trajectory were observed.
Type of Study: Research |
Subject:
Special
Received: 2025/09/14 | Accepted: 2025/11/19 | Published: 2025/09/22 | ePublished: 2025/09/22
Received: 2025/09/14 | Accepted: 2025/11/19 | Published: 2025/09/22 | ePublished: 2025/09/22
References
0. doi:10.1088/0031-8949/79/02/025901
1. [1] G. Holzmuller, Z. Math. Phys. 15, 69 (1870).
2. [2] F. Tisserand, Compt. Rend. 75, 760 (1872); 110, 313 (1890).
3. [3] W. de Sitter, Mon. Not. Roy. Astron. Soc. 76, 699 (1916). doi.org/10.1093/mnras/76.9.699 [DOI:10.1093/mnras/76.9.699]
4. [4] B. Mashhoon, F. W. Hehl, D. S. Theiss,.On the gravitational effects of rotating masses, General Relativity and Gravitation, Volume 16, Issue 8, pp.711-750, ,(1984) ;doi: 10.1007/BF00762913, [DOI:10.1007/BF00762913]
5. [5] I. Ciufolini, Class. Quantum Grav. 17, 2369 (2000). Book. [DOI:10.1088/0264-9381/17/12/309]
6. [6] T. Toth, Viktor , Gravitoelectromagnetism and stellar orbits in galaxies, WSPC/Instruction File,(2021). [DOI:10.1142/S0218271821501029]
7. [7] S. Capozziello, M De Laurentis, F. Garufi, L. Milano, Relativistic orbits with gravitomagnetic corrections, (2009) [DOI:10.1088/0031-8949/79/02/025901]
8. [8] F Garufi, S. Capozziello, M. De Laurentis, L. Forte, L. Milano, Relativistic orbits and Gravitational Waves from gravitomagnetic corrections, (2010). [DOI:10.1088/1742-6596/228/1/012052]
9. [9] L. Castaneda, F. Fandino, W. Almonacid, E. Suarez and G. Pinzon, Gravitomagnetic effects of a massive and slowly rotating sphere with an equatorial mass current on orbiting test particles, IUA 261 Symposium Relativity in Fundamental Astronomy 152-154, (2009), [DOI:10.1017/S1743921309990317]
10. [10] H.Stephani, General Relativity, 2nd end, Cambridge Univercity Press, (1990), Book.
11. [11] B. Mashoon, L. Ioro, and H.I.M. Lichtenegger, Phys. Lett. A 292 (2001). doi:10.1016/S0375-9601(01)00776-9 [DOI:10.1016/S0375-9601(01)00776-9]
12. [12] A. Barros, V. B. Bezerra and C. Romero, Global Aspect of Gravitomagnetism, Mod. Phys. Lett. A 18 (2003). doi:10.1142/S0217732303012143 [DOI:10.1142/S0217732303012143]
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |