Testing the No-Hair Theorem with Sgr A*

Figure 1

(a) Values of the parameter 𝜖₃ versus the spin 𝑎, for which the central object is a black hole. The shaded region marks the excluded part of the parameter space where this object is a naked singularity. The dashed line corresponds to a Kerr black hole [34]. (b) Trajectories of photons lensed by a black hole with a (counterclockwise) spin 𝑎=0.85 M for several values of the parameter 𝜖₃. The shaded region corresponds to the event horizon of a Kerr black hole of equal spin.

(a)

(b)