

3 The Einstein-Langevin Equation:
Axiomatic Approach
In this section we introduce stochastic
semiclassical gravity, or stochastic
gravity for short, in an axiomatic way. It is introduced as
an extension of semiclassical gravity motivated by the search of
self-consistent equations which describe the backreaction of the
quantum stress-energy fluctuations on the gravitational
field [207
].

