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arXiv · 1211.4426

Nonuniqueness of Representations of Wave Equations in Lorentzian Space-Times

Horst Reinhard Beyer
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Abstract

This brief note wants to bring to attention that the formulation of physically reasonable initial-boundary value problems for wave equations in Lorentzian space-times is not unique, i.e., that there are inequivalent such formulations that lead to a different outcome of the stability discussion of the solutions. For demonstration, the paper uses the case of the wave equation on the right Rindler wedge in 2-dimensional Minkowski space. The used methods can be generalized to wave equations on stationary globally hyperbolic space-times with horizons in higher dimensions, such as Schwarzschild and Kerr space-times.

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Horst Reinhard Beyer. 2012-11-19. Nonuniqueness of Representations of Wave Equations in Lorentzian Space-Times. https://arxiv.org/abs/1211.4426

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