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SCALAR WAVES IN A WORMHOLE TOPOLOGY

2005/11/06 by Necmi Bugdayci, NECMI BUĞDAYCI
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #gr-qc

paper · pdf · doi:10.1142/s0218271806008395

published as Int.J.Mod.Phys.D15:669-694,2006 · 24 pages, 8 figures

arxiv created 2005/11/06 · openalex publication_date 2006/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

Global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensions (2+1) and (3+1). The solutions are in the form of infinite series involving cylindrical and spherical wave functions, and they are elucidated by the multiple scattering method. Explicit solutions for some limiting cases are illustrated as well. The results presented in this work constitute instances of solutions of the scalar wave equation in a space–time admitting closed time-like curves.

Citations