# The Semiclassical Einstein Equation on Cosmological Spacetimes

@article{Siemssen2015TheSE, title={The Semiclassical Einstein Equation on Cosmological Spacetimes}, author={Daniel Siemssen}, journal={arXiv: Mathematical Physics}, year={2015} }

The subject of this thesis is the coupling of quantum fields to a classical gravitational background in a semiclassical fashion. It contains a thorough introduction into quantum field theory on curved spacetime with a focus on the stress-energy tensor and the semiclassical Einstein equation. Basic notions of differential geometry, topology, functional and microlocal analysis, causality and general relativity will be summarised, and the algebraic approach to QFT on curved spacetime will be…

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