https://doi.org/10.1140/epjc/s10052-025-15159-w
Regular Article - Theoretical Physics
Einasto-core generalization of the Dymnikova regular black hole metric
1
Department of Mathematics, College of Science, University of Ha’il, 2440, Ha’il, Saudi Arabia
2
University of Agriculture Faisalabad, Constituent College, 36050, Toba Tek Singh, Pakistan
Received:
27
October
2025
Accepted:
2
December
2025
Published online:
10
December
2025
In this work, we develop an Einasto-core generalization of the Dymnikova regular black hole metric, motivated by the flat density profile and the Einasto-type density distribution used in modeling dark matter halos and galactic structures. Replacing the exponential source term in the Dymnikova metric with an Einasto-type profile defined by the parameter 
, we obtain a new, regular class of asymptotically flat and spherically symmetric configurations. We derive the corresponding spacetime metric by employing the Einstein field equations with an anisotropic stress-energy tensor as the matter source. Our analysis confirms that a family of regular black hole solutions can be constructed for arbitrary values of the Einasto index and for a broad range of mass parameters M.The resulting configuration smoothly interpolates between a de Sitter core at the center and a Schwarzschild-like exterior at large radii, preserving the regular character of the geometry. It is observed that the interpolation of different shape parameter values leads to distinct self-gravitational, anisotropic populations of cosmic objects with unique physical characteristics. The non-singular and viable nature of the obtained solution is examined through the finiteness of the scalar curvature.
© The Author(s) 2025
corrected publication 2025
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