Novel regular black holes: geometry, source and shadow

Anjan Kar, Sayan Kar
General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc)
2023-08-22 16:00:00
We propose a two-parameter, static and spherically symmetric regular geometry, which, for specific parameter values represents a regular black hole. The matter required to support such spacetimes within the framework of General Relativity (GR), is found to violate the energy conditions, though not in the entire domain of the radial coordinate. A particular choice of the parameters reduces the regular black hole to a singular, mutated Reissner-Nordstr\"om geometry. It also turns out that our regular black hole is geodesically complete. Fortunately, despite energy condition violation, we are able to construct a viable source, within the framework of GR coupled to matter, for our regular geometry. The source term involves a nonlinear magnetic monopole in a chosen version of nonlinear electrodynamics. Finally, we obtain the shadow profile of the regular black hole and try to estimate the metric parameters using some recent observational results from the EHT collaboration.
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