Gravitational repulsive effects in 3D regular black holes

Luongo O. Quevedo H. Sajadi S.N.
February 2024 Springer

General Relativity and Gravitation
2024 #56 Issue 2

In this work, we consider the effects of repulsive gravity in an invariant way for four static 3D regular black holes, using the eigenvalues of the Riemann curvature tensor, the Ricci scalar, and the strong energy conditions. The eigenvalues of the solutions are non-vanishing asymptotically (in asymptotically AdS) and increase as the source of gravity is approached, providing a radius at which the passage from attractive to repulsive gravity might occur. We compute the onsets and the regions of repulsive gravity and conclude that the regular behavior of the solutions at the origin of coordinates can be interpreted as due to the presence of repulsive gravity, which also turns out to be related with the violation of the strong energy condition. We showed that in all of the solutions for the allowed region of parameters, gravity changes its sign, but the repulsive regions only for the non-logarithmic solution are affected by the mass that generates the regular black hole. The repulsive regions for the logarithmic solutions are dependent on electric charge and the AdS ₃ length. The implications and physical consequences of these results are discussed in detail.

Energy Conditions , Regular Black holes , Repulsive Gravity , Riemann Curvature Eigenvalues

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Università di Camerino, Via Madonna delle Carceri 9, Camerino, 62032, Italy
SUNY Polytechnic Institute, Utica, 13502, NY, United States
INAF - Osservatorio Astronomico di Brera, Milano, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Perugia, 06123, Italy
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico, Mexico
Dipartimento di Fisica and Icra, Università di Roma “La Sapienza”, Roma, Italy
School of Physics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran

Università di Camerino
SUNY Polytechnic Institute
INAF - Osservatorio Astronomico di Brera
Istituto Nazionale di Fisica Nucleare
Al-Farabi Kazakh National University
Instituto de Ciencias Nucleares
Dipartimento di Fisica and Icra
School of Physics

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