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<p>In this study, we analyzed the polarization modes of gravitational waves in an anisotropic Bianchi type I theory. We present the model and construction of gravitational waves, and discuss the gauge problem that appears specifically in these calculations. As the theory allows up to two independent polarization modes, we analyzed the various cases that arise, depending on the wave vector <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\textbf{k}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="bold">k</mi> </math></EquationSource> </InlineEquation>, and presented the differences and similarities as the homogeneous and isotropic model, described by the Friedmann-Lemaître-Robertson-Walker metric. Once the general structure of the model has been established, the analysis of the polarizations of gravitational waves in a specific theory is carried out, using as a model the Kasner scenario, which can be considered Bianchi type I model in the absence of matter and cosmological constant.</p>

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The gauge problem and polarization modes of gravitational waves in anisotropic Bianchi type I cosmological models

  • 期刊论文

  • 发表日期：

    2025年12月24日

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  • L. S. O. Viana,
  • S. V. B. Gonçalves

摘要

In this study, we analyzed the polarization modes of gravitational waves in an anisotropic Bianchi type I theory. We present the model and construction of gravitational waves, and discuss the gauge problem that appears specifically in these calculations. As the theory allows up to two independent polarization modes, we analyzed the various cases that arise, depending on the wave vector \(\textbf{k}\) k , and presented the differences and similarities as the homogeneous and isotropic model, described by the Friedmann-Lemaître-Robertson-Walker metric. Once the general structure of the model has been established, the analysis of the polarizations of gravitational waves in a specific theory is carried out, using as a model the Kasner scenario, which can be considered Bianchi type I model in the absence of matter and cosmological constant.