Authors: Bijan Nikouravan, J. J. Rawal
Affiliations: Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia, Department of Physics, Islamic Azad University (IAU)-Varamin-Pishva Branch, Iran, The Indian Planetary Society (IPS), Mumbai - 400091, India
Emails: nikou@um.edu.my; nikouravan@gmail.com; ips.science@gmail.com
Journal: International Journal of Fundamental Physical Sciences (IJFPS)
Volume: 1, Issue: 1, Pages: 1-5, Date: March, 2011
ISSN: 2231-8186
DOI: https://doi.org/10.14331/ijfps.2011.330001
The simplest solution to Einstein's field equations is the Schwarzschild solution. This solution is not able to describe any non-spherical shaped objects. Some stars and galaxies are ellipsoidal. Consequently, the gravitational field around these objects should be different in comparison with the spherical form. This paper is considering a new line element so that we are able to construct not only spherical objects but also we are able to explain an ellipsoidal object too. This new line element is more accurate and complete than the Schwarzschild line element. In this research, we see that the Schwarzschild line element and its solution is only a part of the whole work, which we have done. For more consideration, we applied this metric to an arbitrary object in the next step. Moreover, we used this line element for the solution of a planetary orbit of an ellipsoid planet by using Einstein’s field equations. These equations used for the exterior solution of an ellipsoidal celestial object.
General relativity, elliptical objects, planetary orbits