Tuesday, November 20, 2012

1211.4426 (Horst Reinhard Beyer)

Nonuniqueness of Representations of Wave Equations in Lorentzian

Horst Reinhard Beyer
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.
View original: http://arxiv.org/abs/1211.4426

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