Perihelion shift and light bending by a gravitational object in general relativity

Bobur Turimov, Sh. Karshiboev

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2025-yil

Annotatsiya

In the present research note, we have derived the explicit expression for the perihelion precession and the deflection angle of light by the gravitational object. The explicit expression for the trajectory of the planet orbiting around a central object in the framework of Newtonian theory as well as general relativity has been discussed. It is studied the deflection of the light ray and gravitational lensing effects by the gravitational object in the weak field approximation. Using the gravitational lensing equation the magnification of the primary and secondary images has been derived. It is shown that for small angle , it is difficult to distinguish the magnifications of the primary and secondary images, while for the largest value of the angle the magnification of the primary image dominates will equal to the total magnification. The time delay of the light ray passing through the gravitational object is also discussed. Finally, the classical expression for the energy of relativistic particles has been derived in the frame of general relativity.

Maqola ma’lumotlari
MualliflarBobur Turimov, Sh. Karshiboev
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2025-03-29
Jild1
Son1
Betlar47-56
TilIngliz
DOI10.59251/2181-1296.2025.v1.149.1.3175
Indeksga qo‘shilgan2026-09-02

Iqtibos keltirish

APABobur Turimov, & Sh. Karshiboev (2025). PERIHELION SHIFT AND LIGHT BENDING BY A GRAVITATIONAL OBJECT IN GENERAL RELATIVITY. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 47-56. https://doi.org/10.59251/2181-1296.2025.v1.149.1.3175
GOST (OAK)Bobur Turimov, Sh. Karshiboev PERIHELION SHIFT AND LIGHT BENDING BY A GRAVITATIONAL OBJECT IN GENERAL RELATIVITY // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2025. – T. 1, № 1. – P. 47-56. – DOI: 10.59251/2181-1296.2025.v1.149.1.3175.
MLABobur Turimov, and Sh. Karshiboev. “PERIHELION SHIFT AND LIGHT BENDING BY A GRAVITATIONAL OBJECT IN GENERAL RELATIVITY.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 47-56, 2025. https://doi.org/10.59251/2181-1296.2025.v1.149.1.3175
ChicagoBobur Turimov, and Sh. Karshiboev. “PERIHELION SHIFT AND LIGHT BENDING BY A GRAVITATIONAL OBJECT IN GENERAL RELATIVITY.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 47-56 (2025). https://doi.org/10.59251/2181-1296.2025.v1.149.1.3175
HarvardBobur Turimov, and Sh. Karshiboev (2025) ‘PERIHELION SHIFT AND LIGHT BENDING BY A GRAVITATIONAL OBJECT IN GENERAL RELATIVITY’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 47-56. https://doi.org/10.59251/2181-1296.2025.v1.149.1.3175
BibTeX
@article{boburturimov2025,
  title = {PERIHELION SHIFT AND LIGHT BENDING BY A GRAVITATIONAL OBJECT IN GENERAL RELATIVITY},
  author = {Bobur Turimov and Sh. Karshiboev},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2025},
  volume = {1},
  number = {1},
  pages = {47-56},
  doi = {10.59251/2181-1296.2025.v1.149.1.3175},
  url = {https://doi.org/10.59251/2181-1296.2025.v1.149.1.3175}
}

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