Prepared for submission to JCAP A novel family of rotating black hole mimickers Jacopo Mazza, Edgardo Franzin, and Stefano Liberati SISSA, International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy INFN, Sezione di Trieste, via Valerio 2, 34127 Trieste, Italy IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34014 Trieste, Italy E-mail:
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[email protected] Abstract. The recent opening of gravitational wave astronomy has shifted the debate about black hole mimickers from a purely theoretical arena to a phenomenological one. In this respect, missing a definitive quantum gravity theory, the possibility to have simple, meta- geometries describing in a compact way alternative phenomenologically viable scenarios is potentially very appealing. A recently proposed metric by Simpson and Visser is exactly an example of such meta-geometry describing, for different values of a single parameter, different non-rotating black hole mimickers. Here, we employ the Newman{Janis procedure to construct a rotating generalisation of such geometry. We obtain a stationary, axially symmetric metric that depends on mass, spin and an additional real parameter `. According to the value of such parameter, the metric may represent a rotating traversable wormhole, a rotating regular black hole with one or two horizons, or three more limiting cases. By studying the internal and external rich structure of such solutions, we show that the obtained metric describes a family of interesting and simple