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International Journal of Fundamental Physical Sciences IJFPS 22318186 10.14331/ijfps https://fundamentaljournals.org/index.php/ijfps/index 03 2011 1 1 Behavior of elliptical objects in general theory of relativity Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia Bijan Nikouravan https://orcid.org/0000-0003-4308-1632 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 Einsteinâ€™s field equations. These equations used for the exterior solution of an ellipsoidal celestial object. 03 2011 1 5 10.14331/ijfps.2011.330001 https://fundamentaljournals.org/index.php/ijfps/article/view/73