https://doi.org/10.1140/epjc/s10052-026-15979-4
Regular Article - Theoretical Physics
Embedding wormholes and dyonic black strings in warped braneworlds via local sum rules
1
Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760, Fortaleza, Ceará, Brazil
2
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal
3
Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016, Lisbon, Portugal
a
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Received:
15
April
2026
Accepted:
12
June
2026
Published online:
24
June
2026
Abstract
Building on our previous work [1], where the Local Sum Rules (LSR) were established, we investigate the construction of compact objects in Randall–Sundrum braneworlds supported by matter fields that are dynamically consistent and localizable. We begin by revisiting the Chamblin et al. black string, highlighting its role as a foundational higher-dimensional solution. We then show that the Ellis–Bronnikov wormhole can be consistently embedded in this framework via a localized free scalar field, providing a simple yet nontrivial example of a braneworld compact object. Finally, we derive two novel black string solutions sourced by a localized nonlinear electrodynamics (NED) theory with Lagrangian 
, corresponding to purely magnetic and dyonic configurations. The purely magnetic solution reproduces the classical Letelier string cloud on the brane, while the dyonic solution generalizes it to include electric charge, closely paralleling the Letelier–Alencar construction. Both NED solutions reduce smoothly to the Chamblin et al. black string in the limit 
, illustrating how localized higher-dimensional matter fields can consistently support braneworld compact objects and connect higher-dimensional physics with well-known four-dimensional solutions.
© The Author(s) 2026
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Funded by SCOAP3.
