Skip to content
DraconiticResearch
Search Sources API
190,839 studies31 sourcesUpdated 12 min ago
Peer-reviewedCC BY 4.0The European Physical Journal C

Analytic results for slow-roll curved-space inflation and exponential potentials

  • Dimitrios Tsimpis1
  • Govind Venugopal2
  1. 1Université de Lyon
  2. 2Indian Institute of Science Education and Research (IISER)
Open at sourcePDFDOICite

Abstract

We derive analytic templates for the scalar and tensor primordial power spectra describing cosmologies that transition from kinetic dominance to slow-roll inflation in the presence of spatial curvature. Our results extend recent works in the literature, allowing us, in particular, to recover the scalar and tensor tilts analytically. We revisit the case of curvature-assisted single-exponential models in light of this framework. In the case of an open universe, the phase space of such models naturally includes cosmologies that start out in a kinetic-dominance regime followed by a parametrically controlled quasi-de Sitter phase. However, they do not fit in the framework of the templates, as their second Hubble slow-roll parameter remains of order one in the quasi-de Sitter regime.

Related

  1. Analysis of Phantom Cosmology With Different Potentials: Inflation and Isotropization
    Behzad Tajahmad, Hossein Kheiri
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  2. Exponential Quintessence: Analytic Relationship Between the Current Equation of State Parameter and the Potential Parameter
    Naoto Maki, Kazunori Kohri
    arXivPreprintarXiv licenceFull textCosmologyGravitation & general relativityarXiv
  3. Dynamical Phase Transitions as Properties of the Stationary State: Analytic Results after Quantum Quenches in the Spin-1/2 XXZ Chain
    Maurizio Fagotti
    HALPreprintLicence not statedFull text15 citedAtomic, molecular & optical physicsHAL
  4. Revisiting the Lyth bound constraints on inflation from ACT DR6 results
    Rui Yang, Jun Tao, Peng Wang +1
    arXivPreprintarXiv licenceFull textCosmologyGravitation & general relativityarXiv
  5. Analytic results for the two-loop renormalization constants of Feynman gauge QED
    Gregory S. Adkins, Elias Mitchell, A. Volkan Turan
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv

Cite

BibTeXRIS
BibTeX
@article{tsimpis2026analytic,
  title = {{Analytic results for slow-roll curved-space inflation and exponential potentials}},
  author = {Dimitrios Tsimpis and Govind Venugopal},
  journal = {The European Physical Journal C},
  year = {2026},
  month = nov,
  doi = {10.1140/epjc/s10052-026-16528-9},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16528-9},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Analytic results for slow-roll curved-space inflation and exponential potentials
AU  - Dimitrios Tsimpis
AU  - Govind Venugopal
PY  - 2026
DA  - 2026/11/06
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16528-9
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16528-9
AB  - We derive analytic templates for the scalar and tensor primordial power spectra describing cosmologies that transition from kinetic dominance to slow-roll inflation in the presence of spatial curvature. Our results extend recent works in the literature, allowing us, in particular, to recover the scalar and tensor tilts analytically. We revisit the case of curvature-assisted single-exponential models in light of this framework. In the case of an open universe, the phase space of such models naturally includes cosmologies that start out in a kinetic-dominance regime followed by a parametrically controlled quasi-de Sitter phase. However, they do not fit in the framework of the templates, as their second Hubble slow-roll parameter remains of order one in the quasi-de Sitter regime.
SN  - 1434-6052
ER  -