Scalar waves in a wormhole geometry

Details Scalar waves in a wormhole geometry Scalar waves in a wormhole geometry

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49..853k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 2, 15 January 1994, pp.853-861

Physics

10

Fundamental Problems And General Formalism

Scientific paper

The reflection and transmission of massless scalar waves in the curved background geometry of a typical Lorentzian wormhole (in 2+1 and 3+1 dimensions) are discussed. Using the exact solutions which involve modified Mathieu (in 2+1 dimensions) and radial oblate spheroidal (in 3+1 dimensions) functions, explicit analytic expressions are obtained for the reflection and transmission coefficients at specific values of the quantity ωb0 (ω being the energy of the scalar wave and b0 the throat radius of the wormhole). It is found that both near-perfect reflection as well as transmission are possible for specific choices of certain parameters.

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