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The `no-hair' conjecture claims that for a spherically symmetric black hole,only the information regarding the mass and charge of the black hole isavailable to an external observer. However, there are numerous counterexamplesto the `no-hair' conjecture. In this work, we consider a particularcounter-example to the `no-hair' conjecture in (3+1) dimensions, namely, astatic spherically symmetric charged black hole with a scalar hair. We providesemi-analytic bounds on the greybody factors and study the sparsity of Hawkingradiation of mass-less uncharged scalar fields. Our results show that thescalar and electric charges contribute oppositely to the greybody factor andthe sparsity of the Hawking radiation cascade. Also, the greybody factordecreases and the Hawking emission spectra become more sparse with thereduction in the black hole (ADM) mass.

Greybody factor and sparsity of Hawking radiation from a charged spherical black hole with scalar hair