Behavior of elliptical objects in general theory of relativity

Physics

Authors

  • Bijan Nikouravan Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia
  • J. J. Rawal The Indian Planetary Society (IPS), Mumbai - 400091, India‎

DOI:

https://doi.org/10.14331/ijfps.2011.330001

Keywords:

General relativity, elliptical objects, planetary orbits

Abstract

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.

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Author Biographies

Bijan Nikouravan, Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia

J. J. Rawal, The Indian Planetary Society (IPS), Mumbai - 400091, India‎

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Published

2011-03-31

Issue

Section

ORIGINAL ARTICLES
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