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A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration

Citation

Walters, SJ and Forbes, LK and Jarvis, PD, A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration, Monthly Notices of the Royal Astronomical Society, 409, (3) pp. 953-962. ISSN 0035-8711 (2010) [Refereed Article]


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Copyright Statement

The definitive published version is available online at: http://onlinelibrary.wiley.com/

Official URL: http://onlinelibrary.wiley.com/

DOI: doi:10.1111/j.1365-2966.2010.17380.x

Abstract

This paper uses the Schwarzschild metric to derive an effective refractive index and acceleration vector that account for relativistic deflection of light rays in an otherwise classical kinematic framework. The new refractive index and the known path equation are integrated to give accurate results for travel time and deflection angle, respectively. A new formula for coordinate acceleration is derived which describes the path of a massless test particle in the vicinity of a spherically symmetric mass density distribution. A standard ray shooting technique is used to compare the deflection angle and time delay predicted by this new formula with the previously calculated values, and with standard first-order approximations. Finally, the ray shooting method is used in theoretical examples of strong and weak lensing, reproducing known observer-plane caustic patterns for multiple masses. Key words: acceleration of particles – gravitation – gravitational lensing: strong – gravitational lensing: micro – methods: numerical – planets and satellites: detection.

Item Details

Item Type:Refereed Article
Keywords:acceleration of particles – gravitation – gravitational lensing: strong – gravitational
Research Division:Mathematical Sciences
Research Group:Mathematical Physics
Research Field:Mathematical Aspects of General Relativity
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Walters, SJ (Mr Stephen Walters)
Author:Forbes, LK (Professor Larry Forbes)
Author:Jarvis, PD (Dr Peter Jarvis)
ID Code:65507
Year Published:2010
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2010-11-19
Last Modified:2015-01-27
Downloads:0

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