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Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method
Joint Authors
Harko, Tiberiu
Mak, Man Kwong
Leung, Chun Sing
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the equations of motion of the massive and massless particles in the Schwarzschild geometry of general relativity by using the Laplace-Adomian Decomposition Method, which proved to be extremely successful in obtaining series solutions to a wide range of strongly nonlinear differential and integral equations.
After introducing a general formalism for the derivation of the equations of motion in arbitrary spherically symmetric static geometries and of the general mathematical formalism of the Laplace-Adomian Decomposition Method, we obtain the series solution of the geodesics equation in the Schwarzschild geometry.
The truncated series solution, containing only five terms, can reproduce the exact numerical solution with a high precision.
In the first order of approximation we reobtain the standard expression for the perihelion precession.
We study in detail the bending angle of light by compact objects in several orders of approximation.
The extension of this approach to more general geometries than the Schwarzschild one is also briefly discussed.
American Psychological Association (APA)
Mak, Man Kwong& Leung, Chun Sing& Harko, Tiberiu. 2018. Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1118192
Modern Language Association (MLA)
Mak, Man Kwong…[et al.]. Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method. Advances in High Energy Physics No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1118192
American Medical Association (AMA)
Mak, Man Kwong& Leung, Chun Sing& Harko, Tiberiu. Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1118192
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118192