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Dymnikova black hole in higher dimensions

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Abstract

We generalized Dymnikova black hole solutions in higher dimensional framework for both the Einstein’s general theory of relativity (GR) and Rastall theory. Dymnikova obtained non-singular black hole (NSBH) in the usual four dimensions in GR. The NSBH solution is presented here in the framework of higher dimensional GR and Rastall theory determining the stress energy tensor. The NSBH is found to have a finite radial pressure at the center when the spacetime dimension \(D\ge 4\). The transverse pressure is finite at the center for a set of model parameters which is found to increase with the increase in the spacetime dimensions. The solutions of the higher dimensional field equations in both the theories reduce to the Schwarzschild black hole solution asymptotically in the usual four and beyond which are singularity free. The different features of the non-singular black holes in GR and in Rastall gravity are studied. It is found that the nonsingular black holes exist in both the gravitational theories with different types of matter configurations. We also study the trajectories of the massive and massless particles around the static non-singular black holes. The radii of the photon spheres around the black hole are determined and found that those are functions of the number of extra dimensions.

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Acknowledgements

The author would like to thank IUCAA Center for Astronomy Research and Development (ICARD), NBU for extending research facilities and North Bengal University for a research grant. BCP would like to thank IUCAA, Pune for hospitality during a visit.

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Authors and Affiliations

  1. Department of Physics, University of North Bengal, Siliguri, Darjeeling, 734 013, West Bengal, India

    Bikash Chandra Paul

  2. IUCAA Centre for Astronomy Research and Development, North Bengal, India

    Bikash Chandra Paul

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Correspondence to Bikash Chandra Paul.

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Paul, B.C. Dymnikova black hole in higher dimensions. Eur. Phys. J. Plus 138, 633 (2023). https://doi.org/10.1140/epjp/s13360-023-04280-y

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