In the last passage of 1975 paper Hawking tells that we can't use a local stress-energy tensor to tackle the backreaction of radiation since creation of particles is a non-local and global process while $T_{\mu\nu}$ is a local quantity, so we can't use it in EFE $G_{\mu\nu}=\kappa T_{\mu\nu}$ to get the dynamic nature of $g_{\mu\nu}$. Is this correct, if yes then how do we handle the backreaction problem?
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