A variational approach to homogeneous scalar fields in General Relativity
classification
🌀 gr-qc
math.FA
keywords
variationalhomogeneousscalarsolutionsactionapproachapproximatingconfigurations
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A result of existence of homogeneous scalar field solutions between prescribed configurations is given, using a modified version of Euler--Maupertuis least action variational principle. Solutions are obtained as limit of approximating variational problems, solved using techniques introduced by Rabinowitz.
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