International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Calculation of Ricci tensors by mathematica V 5.1

Bijan Nikouravan1* and Saeid Pirasteh2
1Department of Physics and Astrophysics, Islamic Azad University (IAU) - Varamin Pishva Branch, Iran. 2Institute of Advanced Technology (ITMA) University Putra Malaysia 43400 UPM, Malaysia.
Email: [email protected]

  •  Accepted: 09 November 2009
  •  Published: 31 December 2009

Abstract

In solution of Einstein field equations it is necessary to contracting Riemann-Christofell tensor. The contraction of Riemann-Christofell tensor or simply the curvature tensor is called the Ricci tensor and denoted by  QUOTE  . The calculation of Ricci tensor in 3 and especially in 4-dimension is not very difficult but, it is very tedious; and need more time with accuracy. In this paper, the focus has been given to construct a software programming for determination of Ricci tensors with Mathematica V 5.1. This software program is not only able to calculate for any dimension, but also has ability to add any coefficients that may be needed to assume in our line element with any coordinate systems.

 

Key words: Ricci tensor, Einstein field equation, mathematica software V 5.1.