Five dimensional rotating and Quintessence black hole and their hypershadows
arXiv:2504.11408 · doi:10.1016/j.dark.2025.102041
Abstract
We present a new five-dimensional rotating quintessence black hole solution. To obtain this, we employ the version of the Janis Newman algorithm, which incorporates the Hopf bifurcation. The variation of the quintessence parameter causes the geometry to transition from a regular rotating universe surrounded by a cosmological horizon to a singular rotating geometry, which can represent a naked singularity, a singular extremal black hole, or a singular black hole with both an inner and an outer (event) horizon. We have also determined the properties of the ergosphere. For the study of the shadow, we followed a novel approach in which the shadow observed by humans corresponds to cross sections of the shadow. We analyzed how quintessence affects both the size and shape of the black hole shadow, showing that increasing the quintessence strength reduces the shadow radius, contrary to the known results in . We also propose a speculative methodology to test the shadow behavior in five dimensional scenarios, in light of the constraints provided by the Event Horizon Telescope (EHT) concerning the shadow of the four-dimensional supermassive black hole M87. We identify scenarios in which the theoretical results could be consistent with these observational constraints. We have also tested the circularity deviation of our shadows, finding that the results satisfy the bound both in the case with quintessence and in the limiting case without quintessence. Finally, we determine the energy conditions required to support the solution.
Accepted in Physics of the Dark Universe
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