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Linearized general relativity and its quantization

Pedersen, Alf-Håkon
Master thesis
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URI
http://hdl.handle.net/11250/2445854
Date
2017
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Abstract
We begin by deriving the Einstein equation from the Einstein-Hilbert action integral using variational methods; Variation with respect to the metric and the Palatini variation. The vacuum solution (Schwarzschild solution) is then presented and

derived. Weak field approximation is introduced, and the vacuum solution is derived again in this framework.

Higher-order Lagrangians and their effects on the gravitational potential is investigated, but found to not be of particular significance to the quantization procedure that follows.

The quantization of the theory is accomplished through the use of the background field method, and therefore applies for any background space-time.
Publisher
NTNU

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