Regular black holes with gravitational self-energy as dark matter

Kimet Jusufi; Douglas Singleton

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arXiv · 2509.13335

Regular black holes with gravitational self-energy as dark matter

Kimet Jusufi·Douglas Singleton

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Abstract

We incorporate the effect of non-local gravitational self-energy to obtain a neutral, non-singular spacetime geometry. This is achieved by using a non-local gravitational theory inspired by T-duality, where particle mass is not point-like but smeared over a region. This non-local gravitational self-interaction is derived from the Newtonian gravitational potential and energy density, allowing us to define a coordinate-independent quantity. Thus, we incorporate the non-local gravitational field into the spacetime metric. We demonstrate that the total ADM mass is modified by a finite, regularized gravitational mass term, leading to a regular solution of the Ayon-Beato-Garcia type metric but without electric charge. We show the existence of extremal configurations known as \emph{particle-black hole} objects of order of the Planck mass, which are thermodynamically stable, have a vanishing Hawking temperature and could be a viable dark matter candidate.

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Kimet Jusufi, Douglas Singleton. 2025-09-10. Regular black holes with gravitational self-energy as dark matter. https://arxiv.org/abs/2509.13335

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