The helically-reduced wave equation as a symmetric-positive system
نویسندگان
چکیده
منابع مشابه
The Helically - Reduced Wave Equation as a Symmetric - Positive System
Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source in 2+1 dimensional Minkowski spacetime. The reduced equation is a second-order partial differential equation which is elliptic inside a disk and...
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The Landau-Lifschitz formulation of the Einstein equations features h̄μν among the higherderivative terms, where is the ordinary 3+1 wave operator and h̄μν may be viewed as deviation from the flat metric (the over-bar is standard notation). The post-Minkowski (PM) approximation to the Einstein equations involves a sequence 1 h̄μν , 2 h̄μν , · · · formally converging to h̄μν . Here, the first-order 1...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488
DOI: 10.1063/1.1623930