Aspects of Einstein's general relativity: A classical deformation of Schwarzschild spacetime

被引：4

作者：

Toghrai, T. ^{[1
,2
]}

Mansour, N. ^{[1
,2
]}

Daoudia, A. K. ^{[1
,2
]}

El Boukili, A. ^{[1
,2
]}

Sedra, M. B. ^{[1
,2
]}

机构：

[1] Equipe Phys Theor & Modelisat PTM, Lab Sci & Tehn Ingenieur STI, Paris, France

[2] Univ Moulay Ismail Errachidia, Fac Sci Tech Errachidia, Dept Phys, Boutalamine 52000, Errachidia, Morocco

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年 / 20卷 / 07期

关键词：

General relativity; non-commutative geometry and gravitation; bending of light and perihelion advance; NONCOMMUTATIVE GEOMETRY; FIELD; MECHANICS; GRAVITY;

D O I：

10.1142/S0219887823501207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we explore the Schwarzschild geometry in a spherically symmetric gravitational field. We build the non-commutative equations of motion with the aid of the Hamiltonian function and modified algebra. We then study the implications of the non-commutative geometry on the trajectory of a light ray, traveling in null and particles geodesics. Also, we interpret the effect of non-commutativity in both the bending of light and the perihelion advance of Mercury. Therefore, introducing a non-commutative parameter provides a slight correction to the results of general relativity.

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页数：30

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