Eur. Phys. J. C (2019) 79: 77
https://doi.org/10.1140/epjc/s10052-019-6538-5

Regular Article - Theoretical Physics

Regular string-like braneworlds

¹ Universidade Federal do Cariri (UFCA), Av. Tenente Raimundo Rocha, Cidade Universitária, Juazeiro do Norte, Ceará, CEP 63048-080, Brazil
² Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, Fortaleza, CE, 60455-760, Brazil

^* e-mail: carlos@fisica.ufc.br

Received: 7 May 2018
Accepted: 7 January 2019
Published online: 28 January 2019

Abstract

In this work, we propose a new class of smooth thick string-like braneworld in six dimensions. The brane exhibits a varying brane-tension and an AdS asymptotic behavior. The brane-core geometry is parametrized by the Bulk cosmological constant, the brane width and by a geometrical deformation parameter. The source satisfies the dominant energy condition for the undeformed solution and has an exotic asymptotic regime for the deformed solution. This scenario provides a normalized massless Kaluza–Klein mode for the scalar, gravitational and gauge sectors. The near-brane geometry allows massive resonant modes at the brane for the s state and nearby the brane for .