Abstract
AbstractWe derive a particular approximate solution of Einstein equations, describing the gravitational field of a mass distribution that slightly deviates from spherical symmetry. The deviation is described by means of a quadrupole parameter that is responsible for the appearance of a curvature singularity, which is not covered by a horizon. We investigate the motion of test particles in the gravitational field of this naked singularity and show that the quadrupole parameter affects the properties of Schwarzschild trajectories. By investigating radial geodesics, we find that no effects of repulsive gravity are present. We interpreted this result as indicating that repulsive gravity is non-linear effect.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference19 articles.
1. R.P. Kerr, Phys. Rev. Lett. 11(5), 237 (1963)
2. Misner CW, Thorne KS, Wheeler JA (1973) Gravitation. W. H. Freeman, San Francisco. ISBN: 978-0-7167-0344-0, 978-0-691-17779-3
3. H. Quevedo, Mass quadrupole as a source of naked singularities. Int. J. Mod. Phys. D 20, 1779–1787 (2011)
4. M. Heusler, Black Hole Uniqueness Theorems (Cambridge University Press, Cambridge, 1996)
5. Abishev M, Boshkayev, K, Quevedo H, Toktarbay S (2016) in 12th international conference on gravitation, astrophysics and cosmology. pp. 185–186
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献