# 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-DeSitter 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 what does it mean 'reflected at infinity'? any radiating black hole will be finite in time (they will form and then they'll evaporate), are you referring to an eternal black hole solution? – lurscher Dec 20 '12 at 16:10 In AdS space, every large black hole is eternal. See hep-th/0106112. – Columbia Jan 4 at 8:23