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arxiv: 0901.2278 · v1 · submitted 2009-01-15 · 🌀 gr-qc

Approximate Symmetries of Lagrangians for Plane Symmetric Gravitational Wave-Like Spacetimes

classification 🌀 gr-qc
keywords approximatesymmetrieslagrangianplanesymmetricsymmetrydifferentialequations
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Using Lie symmetry methods for differential equations we have investigated the symmetries of a Lagrangian for a plane symmetric static spacetime. Perturbing this Lagrangian we explore its approximate symmetries. It has a non-trivial first-order approximate symmetry.

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