Scalar waves in the Witten bubble spacetime

Biplab Bhawal and C. V. Vishveshwara
Phys. Rev. D 42, 1996 – Published 15 September 1990
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Abstract

Massless scalar waves in the Witten bubble spacetime are studied. The timelike and angular parts of the separated Klein-Gordon equation are written in terms of hyperbolic harmonics characterized by the generalized frequency ω. The radial equation is cast into the Schrödinger form. The above mathematical formulation is applied to study the scattering problem, the bound states, and the corresponding stability criteria. The results confirm the concept of a bubble wall as a perfectly reflecting expanding sphere.

  • Received 18 April 1990

DOI:https://doi.org/10.1103/PhysRevD.42.1996

©1990 American Physical Society

Authors & Affiliations

Biplab Bhawal

  • Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India
  • Raman Research Institute, Bangalore, 560 080, India

C. V. Vishveshwara

  • Raman Research Institute, Bangalore, 560 080, India

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Issue

Vol. 42, Iss. 6 — 15 September 1990

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