https://doi.org/10.1140/epjc/s10052-022-10230-2
Regular Article - Theoretical Physics
Gravitational field of slightly deformed naked singularities
1
Institute for Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan
2
Institute of Nuclear Physics, 1 Ibragimova St., 050032, Almaty, Kazakhstan
3
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, 04510, Mexico City, D.F., Mexico
4
Dipartimento di Fisica and ICRA, Università di Roma “La Sapienza”, 00185, Rome, Italy
5
Department of Physics, Kazakh National Women’s Teacher Training University, 050000, Almaty, Kazakhstan
Received:
16
November
2021
Accepted:
20
March
2022
Published online:
29
April
2022
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.
© The Author(s) 2022
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