Gravitational field of slightly deformed naked singularities
Toktarbay S. Quevedo H. Abishev M. Muratkhan A.
April 2022Springer Science and Business Media Deutschland GmbH
European Physical Journal C
2022#82Issue 4
We 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.
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Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Nuclear Physics, 1 Ibragimova St., Almaty, 050032, Kazakhstan
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, D.F., Mexico City, 04510, Mexico
Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”, Rome, 00185, Italy
Department of Physics, Kazakh National Women’s Teacher Training University, Almaty, 050000, Kazakhstan
Institute for Experimental and Theoretical Physics
Institute of Nuclear Physics
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA
Department of Physics
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