Quantum field theory in curved spacetime

An encyclopedia article on mathematical aspects of quantum field theory in curved spacetime. Section titles are: Introduction and preliminaries; Construction of *-algebra for a real linear scalar field on globally hyperbolic spacetimes and some general theorems; Particle creation and the limitations of the particle concept; Theory of the stress-energy tensor; Hawking and Unruh effects; Non-globally hyperbolic spacetimes and the time-machine question; Other related topics and some warnings.