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Peer-reviewedCC BY 4.0The European Physical Journal C

Traversable wormhole de-singularization: almost η-Ricci–Yamabe solitons in static spherically symmetric imperfect fluid spacetimes

  • Jay Prakash Singh1
  • Jaswant1
  1. 1Central University of South Bihar
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Abstract

In this paper, we investigate the almost η η -Ricci–Yamabe soliton as a fundamental geometric regulator for a static, spherically symmetric black hole coupled to an imperfect fluid. We have shown that the scaling parameter ω (r) ω ( r ) is governed by thermodynamic friction along the radial vector field and the geometric coupling with the Hawking temperature: α (rH) Stt = 2π TH α ( r H ) S tt = 2 π T H , at the horizon. We also derive the Poisson equation along the gradient vector field of the soliton and prove that the flow’s kinematic expansion is explicitly dependent on the fluid’s equation of state ρ = γ σ ρ = γ σ . Diverging from traditional methodologies that assume a geometric shape function a priori, we analytically proved the geometric flow endogenously transitions the black hole geometry into a traversable wormhole throat by regularizing the temporal coordinate and satisfying spatial flare-out condition. This transition occurs when fluid enters the dark energy era at γ = −1 γ = - 1 and violates the Null Energy Condition ρ + σ < 0 ρ + σ < 0 , with the soliton strictly dominating the local curvature gradient ω ′ (rH) > f′ ′ (rH) ω ′ ( r H ) > f ″ ( r H ) to keep the throat open. Moreover, by smoothly attenuating at spatial infinity, the soliton preserves the exact cosmological spacetime. Finally, through tensorial perturbation analysis, we demonstrate that the geometric flow introduces a localized dissipative mechanism that the perturbation evolution reduces to a damped wave equation, imposing geometric drag on the manifold.

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Cite

BibTeXRIS
BibTeX
@article{singh2026traversable,
  title = {{Traversable wormhole de-singularization: almost $$\eta $$-Ricci–Yamabe solitons in static spherically symmetric imperfect fluid spacetimes}},
  author = {Jay Prakash Singh and Jaswant},
  journal = {The European Physical Journal C},
  year = {2026},
  month = oct,
  doi = {10.1140/epjc/s10052-026-16321-8},
  url = {https://link.springer.com/10.1140/epjc/s10052-026-16321-8},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Traversable wormhole de-singularization: almost η-Ricci–Yamabe solitons in static spherically symmetric imperfect fluid spacetimes
AU  - Jay Prakash Singh
AU  - Jaswant
PY  - 2026
DA  - 2026/10/06
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16321-8
UR  - https://link.springer.com/10.1140/epjc/s10052-026-16321-8
AB  - In this paper, we investigate the almost η η -Ricci–Yamabe soliton as a fundamental geometric regulator for a static, spherically symmetric black hole coupled to an imperfect fluid. We have shown that the scaling parameter ω (r) ω ( r ) is governed by thermodynamic friction along the radial vector field and the geometric coupling with the Hawking temperature: α (r_H) S_tt = 2π T_H α ( r H ) S tt = 2 π T H , at the horizon. We also derive the Poisson equation along the gradient vector field of the soliton and prove that the flow’s kinematic expansion is explicitly dependent on the fluid’s equation of state ρ = γ σ ρ = γ σ . Diverging from traditional methodologies that assume a geometric shape function a priori, we analytically proved the geometric flow endogenously transitions the black hole geometry into a traversable wormhole throat by regularizing the temporal coordinate and satisfying spatial flare-out condition. This transition occurs when fluid enters the dark energy era at γ = −1 γ = - 1 and violates the Null Energy Condition ρ + σ < 0 ρ + σ < 0 , with the soliton strictly dominating the local curvature gradient ω ^′ (r_H) > f^′ ′ (r_H) ω ′ ( r H ) > f ″ ( r H ) to keep the throat open. Moreover, by smoothly attenuating at spatial infinity, the soliton preserves the exact cosmological spacetime. Finally, through tensorial perturbation analysis, we demonstrate that the geometric flow introduces a localized dissipative mechanism that the perturbation evolution reduces to a damped wave equation, imposing geometric drag on the manifold.
SN  - 1434-6044
SN  - 1434-6052
ER  -