Sequences of extremal radially excited rotating black holes
Jose Luis Blazquez-Salcedo, Jutta Kunz, Francisco Navarro-Lerida, and, Eugen Radu
TL;DR
This paper explores a sequence of radially excited extremal rotating black holes in Einstein-Maxwell-Chern-Simons theory, revealing new solutions with unique properties and their relation to known extremal black holes.
Contribution
It introduces a sequence of radially excited extremal rotating black hole solutions that emerge at a critical Chern-Simons coupling, expanding the understanding of extremal black hole configurations.
Findings
Sequence of solutions labeled by magnetic potential node number
Mass of excited solutions converges to extremal Reissner-Nordström mass
Not all near horizon solutions correspond to global solutions
Abstract
In Einstein-Maxwell-Chern-Simons theory the extremal Reissner-Nordstr\"om solution is no longer the single extremal solution with vanishing angular momentum, when the Chern-Simons coupling constant reaches a critical value. Instead a whole sequence of rotating extremal J=0 solutions arises, labeled by the node number of the magnetic U(1) potential. Associated with the same near horizon solution, the mass of these radially excited extremal solutions converges to the mass of the extremal Reissner-Nordstr\"om solution. On the other hand, not all near horizon solutions are also realized as global solutions
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