# Does the background spacetime of a black hole affects its thermodynamic properties?

The question is this: will the thermodynamic properties of a black hole (Hawking radiation spectra and temperature, entropy, area, etc.) depend if the black hole sits in a DeSitter or an Anti-De-Sitter space-time?

Why and how?

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Beyond this, the surface gravity is $\Lambda$ dependent, so this makes the temperature an explicit function of the cosmological constant. – Jerry Schirmer Dec 20 '12 at 1:46