Tittel: Bosons and fermions in curved spacetime
Veileder: Kåre Olaussen
Sammendrag: The Klein-Gordon and Dirac equations are formulated for a classical curved background. The equations are then expressed in Friedmann-Robertson-Walker Universe. Further the equations are solved in $\mathbb{R} \times S^3$ spacetime. We present general normalized solutions to the Klein-Gordon equation together with non-normalized particular solutions to the Dirac equation in $\mathbb{R} \times S^3.$ The discrete energy quantization and degeneracy are found for both cases.