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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) functio…

Phys. Rev. D 49, 853 (1994) - Scalar waves in a wormhole geometry Skip to Main ContentJournalsBackJournalsPhysical Review LettersPhysical Review XPRX EnergyPRX LifePRX QuantumReviews of Modern PhysicsPhysical Review APhysical Review BPhysical Review CPhysical Review DPhysical Review EPhysical Review ResearchPhysical Review Accelerators and BeamsPhysical Review AppliedPhysical Review FluidsPhysical Review MaterialsPhysical Review Physics Education ResearchPhysical ReviewPhysical Review (Series I)Physics Physique FizikaPhysics MagazineHelp/FeedbackSearch/Article LookupLog inPhysical Review Dcovering particles, fields, gravitation, and cosmologyHighlightsRecentAcceptedCollectionsAuthorsRefereesSearchPressAboutEditorial TeamScalar waves in a wormhole geometrySayan Kar, Deshdeep Sahdev, and Biplab BhawalPhys. Rev. D 49, 853 – Published 15 January 1994 More×ArticleReferencesCiting Articles (14)ArticleReferencesCiting Articles (14)PDFExport CitationAbstractAuthorsReferencesAbstractAuthorsReferencesAbstract 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.Received 23 July 1993DOI:https://doi.org/10.1103/PhysRevD.49.853©1994 American Physical SocietyAuthors & Affiliations Sayan Kar* and Deshdeep Sahdev†Department of Physics, Indian Institute of Technology, Kanpur 208 016, IndiaBiplab Bhawal‡Mehta Research Institute of Mathematics and Mathematical Physics 10, Kasturba Gandhi Marg, Allahabad 211 002, India*Electronic address: [email protected]†Electronic address: [email protected]‡Present address: IUCAA, Post Bag 4, Ganeshkind, Pune 411 007, India. Electronic address: [email protected] to ExpandReferences (Subscription Required) Click to ExpandIssueVol. 49, Iss. 2 — 15 January 1994Reuse & PermissionsAccess OptionsBuy Article »Log in with individual APS Journal Account »Log in with a username/password provided by your institution »Get access through a U.S. public or high school library »Authorization RequiredLog InOther OptionsBuy Article »Find an Institution with the Article »×Download & SharePDFExportReuse & PermissionsCiting Articles (14)Tweet×Images1 of 0×Sign up to receive regular email alerts from Physical Review DSign upMore LinksAPSEarlier IssuesNews & AnnouncementsAbout this JournalJournal StaffAbout the JournalsJoin APSAuthorsGeneral InformationSubmit a ManuscriptPublication RightsOpen AccessSCOAP3Policies & PracticesTips for AuthorsProfessional ConductRefereesGeneral InformationSubmit a ReportUpdate Your InformationPolicies & PracticesReferee FAQGuidelines for RefereesOutstanding RefereesLibrariansGeneral InformationSubscriptionsOnline License AgreementUsage StatisticsYour AccountStudentsPhysicsPhysicsCentralStudent MembershipAPS MembersSubscriptionsArticle PacksMembershipFAQAPS NewsMeetings & EventsPrivacyPoliciesContact InformationFeedbackISSN 2470-0029 (online), 2470-0010 (print). ©2023 American Physical Society. All rights reserved. Physical Review D™ is a trademark of the American Physical Society, registered in the United States, Canada, European Union, and Japan. The APS Physics logo and Physics logo are trademarks of the American Physical Society. Information about registration may be found here. Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Log In CancelForgot your username/password?Create an account×SearchAll Fields Author Abstract Abstract/Title PhySH Concept Title Cited Author Affiliation Collaboration Article LookupPaste a citation or DOIEnter a citationJournal: Phys. Rev. Lett. Phys. Rev. X PRX Energy PRX Quantum Rev. Mod. Phys. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. Research Phys. Rev. Accel. Beams Phys. Rev. ST Accel. Beams Phys. Rev. Applied Phys. Rev. Fluids Phys. Rev. Materials Phys. Rev. Phys. Educ. Res. Phys. Rev. ST Phys. Educ. Res. Physics Phys. Rev. Phys. Rev. (Series I) Physics Physique Fizika Volume: Article: × This site uses cookies. To find out more, read our Privacy Policy. I Agree