Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics

Emine Canan Günay Demirel; İhsan Yilmaz

doi:10.28979/jarnas.1998253

Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics

Abstract

This study investigates a homogeneous canonical scalar field with an inverse-power-law potential in an (n+2)-dimensional spatially flat Friedmann-Robertson-Walker/Friedmann-Lemaître-Robertson Walker (FRW/FLRW) spacetime. The approximately 5% baryonic-matter, 25% dark-matter, and 70% dark-energy fractions are used only as present-day observational motivation and are not imposed as fixed weights in the scalar-field dynamics. Using the metric signature (+,-,...,-), the scalar-field definition and the higher-dimensional Friedmann, acceleration, Klein-Gordon, and conservation equations are formulated consistently with the gravitational coupling Gₙ₊₂. For K > 0, α > 0,ϕ> 0, and integer n ≥ 2, the scalar-field-dominated late-time regime is analyzed under the slow-roll approximation. The solution obeys an asymptotic power-law scaling with exponent 2/(α+4). Substitution back into the field equations shows that the kinetic-to-potential-energy ratio, the second slow-roll ratio, and the Hubble slow-roll parameter all tend to zero. Consequently, the scalar-field equation-of-state parameter approaches -1 and the dimension-dependent acceleration condition is satisfied asymptotically. The resulting expansion is de Sitter-like in its equation-of-state and slow-roll behavior, although H remains time dependent and the solution is not an exact de Sitter fixed point. The analysis is restricted to homogeneous background evolution; observational parameter fitting, perturbations, stability, and structure formation are left for future work.

Keywords

Ethical Statement

No approval from the Board of Ethics is required.

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Details

Primary Language

English

Subjects

General Physics

Journal Section

Research Article

Authors

Emine Canan Günay Demirel ^*
0000-0003-2968-9780
Türkiye

İhsan Yilmaz
0009-0008-3375-9845
Türkiye

Publication Date

September 30, 2026

Submission Date

July 18, 2026

Acceptance Date

September 10, 2026

Published in Issue

Year 2026 Volume: 12 Number: 3

DOI

https://doi.org/10.28979/jarnas.1998253

IZ

https://izlik.org/JA35CH57CE

Cite

RIS / Bibtex

APA

Günay Demirel, E. C., & Yilmaz, İ. (2026). Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics. Journal of Advanced Research in Natural and Applied Sciences, 12(3), 389-397. https://doi.org/10.28979/jarnas.1998253

AMA

1.Günay Demirel EC, Yilmaz İ. Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics. JARNAS. 2026;12(3):389-397. doi:10.28979/jarnas.1998253

Chicago

Günay Demirel, Emine Canan, and İhsan Yilmaz. 2026. “Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics”. Journal of Advanced Research in Natural and Applied Sciences 12 (3): 389-97. https://doi.org/10.28979/jarnas.1998253.

EndNote

Günay Demirel EC, Yilmaz İ (September 1, 2026) Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics. Journal of Advanced Research in Natural and Applied Sciences 12 3 389–397.

IEEE

[1]E. C. Günay Demirel and İ. Yilmaz, “Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics”, JARNAS, vol. 12, no. 3, pp. 389–397, Sept. 2026, doi: 10.28979/jarnas.1998253.

ISNAD

Günay Demirel, Emine Canan - Yilmaz, İhsan. “Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics”. Journal of Advanced Research in Natural and Applied Sciences 12/3 (September 1, 2026): 389-397. https://doi.org/10.28979/jarnas.1998253.

JAMA

1.Günay Demirel EC, Yilmaz İ. Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics. JARNAS. 2026;12:389–397.

MLA

Günay Demirel, Emine Canan, and İhsan Yilmaz. “Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics”. Journal of Advanced Research in Natural and Applied Sciences, vol. 12, no. 3, Sept. 2026, pp. 389-97, doi:10.28979/jarnas.1998253.

Vancouver

1.Emine Canan Günay Demirel, İhsan Yilmaz. Inverse-Power-Law Scalar-Field Cosmology in (n+2) Dimensions: Slow-Roll Evolution and de Sitter-Like Asymptotics. JARNAS. 2026 Sep. 1;12(3):389-97. doi:10.28979/jarnas.1998253

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