TL;DR
This paper derives explicit global solutions for scalar waves in flat wormhole spacetimes of 2+1 and 3+1 dimensions, using series expansions and multiple scattering methods, highlighting solutions in spacetimes with closed timelike curves.
Contribution
It provides the first explicit series solutions for scalar waves in flat wormhole topologies with closed timelike curves, expanding understanding of wave behavior in such exotic spacetimes.
Findings
Solutions expressed as infinite series involving cylindrical and spherical wave functions
Explicit solutions demonstrated for certain limiting cases
Illustrates wave behavior in spacetimes with closed timelike curves
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 cylindirical 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 spacetime admitting closed timelike curves.
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