Regular solutions for black strings and torus-like black holes

Abstract

In this letter, we extend the recent black hole solution with spherical symmetry [Phys. Lett. B \textbf{835} (2022), 137546], to a new class of black hole solutions with different topology, namely, a torus-like black hole and a black string in the presence of the cosmological constant. We have used the regularized expressions for the gravitational and the electromagnetic potentials, then we derived the corrections to the energy density and, finally, the black hole solutions are obtained which are regular in the limit $r\to 0$. Interestingly, it is found that the total mass of the black hole is corrected due to the regularized self-energy of the electrostatic field. In the special limit, we recover the well-known solutions in the literature.

11 pages, no figures. Accepted for publication in Physics of the Dark Universe

References in corpus (13)

• Notes on non-singular models of black holes
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• Testing strong gravitational lensing effects by supermassive compact objects with regular spacetimes
• Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole
• Charged black holes from T-duality
• Quantum gravity and the zero point length
• Regular black holes in Verlinde's emergent gravity
• Finite electrodynamics from T-duality
• Charged torus-like black holes as heat engines
• Black string surrounded by a static anisotropic quintessence fluid
• Regular black holes in three dimensions and the zero point length
• Rotating regular black holes in AdS spacetime and its shadow
• Some remarks on non-singular spherically symmetric space-times

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