Probing the Ellis-Bronnikov wormhole geometry with a scalar field: clouds, waves and Q-balls
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2022
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Elsevier Science BV
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Abstract
The Ellis-Bronnikov solution provides a simple toy model for the study of various aspects of wormhole physics. In this work we solve the Klein-Gordon equation in this background and find an exact solution in terms of Heun's function. This may describe 'scalar clouds' (i.e. localized, particle-like configuration) or scalar waves. However, in the former case, the radial derivative of the scalar field is discontinuous at the wormhole's throat (except for the spherical case). This pathology is absent for a suitable scalar field self-interaction, and we provide evidence for the existence of spherically symmetric and spinning Q-balls in a Ellis-Bronnikov wormhole background.
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©2022 The Author(s).
The work of E. R. is supported by the Fundacao para a Ciencia e a Tecnologia (FCT) project UID/MAT/04106/2019 (CIDMA) and by national funds (OE), through FCT, I.P., in the scope of the framework contract foreseen in the numbers 4, 5 and 6 of the article 23, of the Decree-Law 57/2016, of August 29, changed by Law 57/2017, of July 19. We acknowledge support from the project PTDC/FIS-OUT/28407/2017 and PTDC/FIS-AST/3041/2020. This work has further been supported by the European Unions Horizon 2020 research and innovation (RISE) programmes H2020-MSCA-RISE-2015 Grant No. StronGrHEP-690904 and H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740. E.R. would like to acknowledge networking support by the COST Actions CA15117 CANTATA and CA16104 GWverse. JLBS gratefully acknowledges support by the DFG Research Training Group 1620 Models of Gravity and the DFG project BL 1553. E.R. would like to acknowledge the hospitality of Ulm University (Raum 3102) where a large part of this work has been done.