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The absence of a true thermodynamical equilibrium for an observer located inthe causal area of a Schwarzschild-de Sitter spacetime has repeatedly raisedthe question of the correct definition of its temperature. In this work, weconsider five different temperatures for a higher-dimensional Schwarzschild-deSitter black hole: the bare $T_0$, the normalised $T_{BH}$ and three effectiveones given in terms of both the black hole and cosmological horizontemperatures. We find that these five temperatures exhibit similarities butalso significant differences in their behaviour as the number of extradimensions and the value of the cosmological constant are varied. We theninvestigate their effect on the energy emission spectra of Hawking radiation.We demonstrate that the radiation spectra for the normalised temperature$T_{BH}$ -- proposed by Bousso and Hawking over twenty years ago -- leads tothe dominant emission curve while the other temperatures either support asignificant emission rate only at a specific $\Lambda$ regime or they havetheir emission rates globally suppressed. Finally, we compute thebulk-over-brane emissivity ratio and show that the use of differenttemperatures may lead to different conclusions regarding the brane or bulkdominance.

Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole