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Einstein-Gauss-Bonnet quintessential inflation: From super-inflation to emergent warm inflation

Abstract

This work presents a unified inflationary and late-time cosmology, developed within Einstein-Gauss-Bonnet gravity coupled to three scalar fields, governed by a single potential and coupling function throughout cosmic history. Permitting the Gauss-Bonnet coupling to depend on the field content, rather than assigning it arbitrarily, produces a two-phase inflationary scenario: the higher-curvature term initially drives expansion and later becomes a subdominant. The initial super-inflationary stage ends dynamically when the geometrically induced stabilization of the waterfall field fails, at a field value determined by the combination (n−1)Q. Coherent oscillations of the waterfall condensate serve as the initial radiation source, replacing conventional reheating and establishing the thermal bath necessary for the subsequent warm phase. Utilizing a two-stage dissipation mechanism with Γϕ∝ T3, the scalar and tensor spectra are derived while retaining Gauss-Bonnet contributions, demonstrating that the growth of inflaton fluctuations is regulated by the shear viscosity of the bath, which is essential for model viability. A quartic potential, previously excluded in the cold scenario, becomes viable, with ns within the Planck 1σ band and r suppressed. Agreement with the spectral index is generic, while internal consistency confines the model to a narrow band in (n−1)Q. Finally, the release of the third scalar near matter-radiation equality transforms a very small mass scale into a very large coupling by a logic inverse to the seesaw mechanism. At late times, the inflaton persists as dark energy.

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BibTeX
@misc{chahboun2026einsteingaussbonnet,
  title = {{Einstein-Gauss-Bonnet quintessential inflation: From super-inflation to emergent warm inflation}},
  author = {Omar Chahboun and Rachid Ahl Laamara and El Hassan Saidi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01665},
  eprint = {2610.01665},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01665},
}
RIS
TY  - UNPB
TI  - Einstein-Gauss-Bonnet quintessential inflation: From super-inflation to emergent warm inflation
AU  - Omar Chahboun
AU  - Rachid Ahl Laamara
AU  - El Hassan Saidi
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2610.01665
UR  - https://arxiv.org/abs/2610.01665
AB  - This work presents a unified inflationary and late-time cosmology, developed within Einstein-Gauss-Bonnet gravity coupled to three scalar fields, governed by a single potential and coupling function throughout cosmic history. Permitting the Gauss-Bonnet coupling to depend on the field content, rather than assigning it arbitrarily, produces a two-phase inflationary scenario: the higher-curvature term initially drives expansion and later becomes a subdominant. The initial super-inflationary stage ends dynamically when the geometrically induced stabilization of the waterfall field fails, at a field value determined by the combination (n−1)Q. Coherent oscillations of the waterfall condensate serve as the initial radiation source, replacing conventional reheating and establishing the thermal bath necessary for the subsequent warm phase. Utilizing a two-stage dissipation mechanism with Γ_ϕ∝ T^3, the scalar and tensor spectra are derived while retaining Gauss-Bonnet contributions, demonstrating that the growth of inflaton fluctuations is regulated by the shear viscosity of the bath, which is essential for model viability. A quartic potential, previously excluded in the cold scenario, becomes viable, with n_s within the Planck 1σ band and r suppressed. Agreement with the spectral index is generic, while internal consistency confines the model to a narrow band in (n−1)Q. Finally, the release of the third scalar near matter-radiation equality transforms a very small mass scale into a very large coupling by a logic inverse to the seesaw mechanism. At late times, the inflaton persists as dark energy.
ER  -