The Entropy of Rindler space

Abstract

The black hole information paradox still stuns physicists until this day. There is no general consensus how the information can be conserved in a black hole and what microstates contribute to the entropy from a quantum point of view. By starting from a free scalar field Lagrangian in 2 dimensions one can calculate the entropy of Rindler space from the viewpoint of different observers. One finds that there is no unique vacuum state for the massless scalar field in Rindler space and that the entropy depends on the perspective of the observer. Lastly, one is interested how the back reaction influences the results. In the particular calculations done in this thesis, back reaction is not applicable. In general, for an arbitrary state and mass of the scalar field it would be interesting to study how the back reaction could influence the entropy.