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Physical Review D

    Scalar waves in a wormhole geometry

    Sayan Kar* and Deshdeep Sahdev†

    Biplab Bhawal‡

    • Department of Physics, Indian Institute of Technology, Kanpur 208 016, India

    • Mehta Research Institute of Mathematics and Mathematical Physics 10, Kasturba Gandhi Marg, Allahabad 211 002, India

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    Phys. Rev. D 49, 853 – Published 15 January, 1994

    DOI: https://doi.org/10.1103/PhysRevD.49.853

    Abstract

    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 ( being the energy of the scalar wave and 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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    Phys. Rev. D 49, 853– Published 15 January, 1994
    • Received 23 July 1993

    © 1994 American Physical Society

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