Eigenmodes of three-dimensional spherical spaces and their application to cosmology

  title={Eigenmodes of three-dimensional spherical spaces and their application to cosmology},
  author={Roland Lehoucq and Jeffrey R. Weeks and Jean-Philippe Uzan and Evelise Gausmann and Jean-Pierre Luminet},
  journal={Classical and Quantum Gravity},
This paper investigates the computation of the eigenmodes of the Laplacian operator in multi-connected three-dimensional spherical spaces. General mathematical results and analytical solutions for lens and prism spaces are presented. Three complementary numerical methods are developed and compared with our analytic results and previous investigations. The cosmological applications of these results are discussed, focusing on the cosmic microwave background (CMB) anisotropies. In particular… 
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