Green's function for a n-dimensional closed, static universe and with a spherical boundary

Mustafa Ozcan

Green's function for a n-dimensional closed, static universe and with a spherical boundary

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arxiv gr-qc/0106082 v1 pith:6BQWJHDW submitted 2001-06-26 gr-qc

Mustafa Ozcan This is my paper · ORCID

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keywords boundaryclosedeigenfunctionequationfieldfunctiongreenn-dimensional

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We construct the Hadamard Green's function by using the eigenfunction, which are obtained by solving the wave equation for the massless conformal scalar field on the S^n-1 of a n-dimensional closed, static universe. We also consider the half space case with both the Dirichlet and the Neumann boundary conditions. Solving of eigenfunction and eigenvalues of the corresponding field equation is interesting since the Casimir energy could be calculated analytically by various methods.

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