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Journal of Gravity
Volume 2013 (2013), Article ID 546913, 4 pages
http://dx.doi.org/10.1155/2013/546913
Research Article

Gravitational Fields of Conical Mass Distributions

Physics Department, Faculty of Science, Federal University Dutse, P.M.B. 7156, Dutse, Jigawa State 720222, Nigeria

Received 20 February 2013; Revised 11 March 2013; Accepted 19 March 2013

Academic Editor: Maddalena Mantovani

Copyright © 2013 Chifu Ebenezer Ndikilar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The gravitational field of conical mass distributions is formulated using the general theory of relativity. The gravitational metric tensor is constructed and applied to the motion of test particles and photons in this gravitational field. The expression for gravitational time dilation is found to have the same form as that in spherical, oblate spheroidal, and prolate spheroidal gravitational fields and hence confirms an earlier assertion that this gravitational phenomena is invariant in form with various mass distributions. It is shown using the pure radial equation of motion that as a test particle moves closer to the conical mass distribution along the radial direction, its radial speed decreases.