A geometric representation for visualizing relativistic length and time measurement
Journal Title: International Journal of Fundamental Physical Sciences - Year 2011, Vol 1, Issue 4
Abstract
The simplest solution of Einstein's field equations is Schwarzschild solution. This solution is not able to describe for any nonspherical shaped objects. Some stars and galaxies are in ellipsoidal. Consequently, the gravitational field around these objects should be different in compare with 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 Schwarzschild line element. In this research we see that Schwarzschild line element and its solution is only a part of 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 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.
Authors and Affiliations
Amir Entezam*, Keshav Shrivastava
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