# On the Local Structure of the Klein–Gordon Field on Curved Spacetimes

@article{Strohmaier2000OnTL, title={On the Local Structure of the Klein–Gordon Field on Curved Spacetimes}, author={Alexander Strohmaier}, journal={Letters in Mathematical Physics}, year={2000}, volume={54}, pages={249-261} }

This paper investigates wave equations on spacetimes with a metric which is locally analytic in the time. We use recent results in the theory of the non-characteristic Cauchy problem to show that a solution to a wave equation vanishing in an open set vanishes in the 'envelope' of this set, which may be considerably larger and in the case of timelike tubes may even coincide with the spacetime itself. We apply this result to the real scalar field on a globally hyperbolic spacetime and show that…

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