On 14th January 2014, Zac Kenton gave a seminar entitled "QFT in Curved Spacetime". He discussed plane wave expansions of scalar fields on backgrounds with arbitrary metric, arguing that the notion of a vacuum is frame dependent. This leads naturally to the Unruh effect and Hawking radiation. The following resources are available.
Zac's Part III essay (attached below) on QFT in Curved Spacetime.
Good online notes by Mukhanov, & Winitzki (a bit long)
Wald's recent (2014) paper on QFT in Curved Spacetime: