Traversable wormholes from a smoothed string fluid in 4D Einstein-Gauss-Bonnet gravity

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Hauptverfasser: Muniz, C. R., Cunha, M. S., Santos, L. C. N.
Format: Preprint
Veröffentlicht: 2025
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author Muniz, C. R.
Cunha, M. S.
Santos, L. C. N.
author_facet Muniz, C. R.
Cunha, M. S.
Santos, L. C. N.
contents We investigate traversable wormhole solutions in four-dimensional Einstein-Gauss-Bonnet (EGB) gravity sourced by a smoothed string fluid. Originally proposed to model regular black holes, this energy density profile is adapted here to sustain wormhole geometries by allowing for a radially varying equation of state. We obtain zero-tidal-force solutions that satisfy all traversability criteria and remain globally regular. The Gauss-Bonnet (GB) coupling $α$ plays a central role in shaping the throat geometry. We identify a parameter region ($α\geq 1$, $\varepsilon \leq 0.1$) in which the null energy condition is satisfied in the vicinity of the throat, representing a significant improvement over general relativistic counterparts. The interplay between the smoothing scale $a$ and the string density $\varepsilon$ ensures finite curvature invariants while reducing the violation of energy conditions. An analysis of the volume integral quantifier and the complexity factor further shows that strong EGB coupling simultaneously suppresses gravitational complexity and the total amount of exotic matter. These results establish a unified framework in which the same string fluid source can generate both regular black holes and stable traversable wormholes, depending on the strength of higher-curvature corrections.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07028
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Traversable wormholes from a smoothed string fluid in 4D Einstein-Gauss-Bonnet gravity
Muniz, C. R.
Cunha, M. S.
Santos, L. C. N.
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
We investigate traversable wormhole solutions in four-dimensional Einstein-Gauss-Bonnet (EGB) gravity sourced by a smoothed string fluid. Originally proposed to model regular black holes, this energy density profile is adapted here to sustain wormhole geometries by allowing for a radially varying equation of state. We obtain zero-tidal-force solutions that satisfy all traversability criteria and remain globally regular. The Gauss-Bonnet (GB) coupling $α$ plays a central role in shaping the throat geometry. We identify a parameter region ($α\geq 1$, $\varepsilon \leq 0.1$) in which the null energy condition is satisfied in the vicinity of the throat, representing a significant improvement over general relativistic counterparts. The interplay between the smoothing scale $a$ and the string density $\varepsilon$ ensures finite curvature invariants while reducing the violation of energy conditions. An analysis of the volume integral quantifier and the complexity factor further shows that strong EGB coupling simultaneously suppresses gravitational complexity and the total amount of exotic matter. These results establish a unified framework in which the same string fluid source can generate both regular black holes and stable traversable wormholes, depending on the strength of higher-curvature corrections.
title Traversable wormholes from a smoothed string fluid in 4D Einstein-Gauss-Bonnet gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.07028