Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model - INSPIRE

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Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model

Tuyen M. Pham
(
- Phenikaa U., Hanoi
)
,
Duy H. Nguyen
(
- Phenikaa U., Hanoi
)
,
Tuan Q. Do
(
- Phenikaa U., Hanoi
)
,
W.F. Kao
(
- NYCU, Hsinchu
)

Mar 4, 2024

40 pages

Published in:

Eur.Phys.J.C 84 (2024) 7, 729

Published: Jul 23, 2024

e-Print:

2403.02623 [gr-qc]

DOI:

10.1140/epjc/s10052-024-13083-z

View in:

ADS Abstract Service

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Abstract: (Springer)

In this paper, we would like to examine whether stable de Sitter inflationary solutions appear within power-law extensions of the Starobinsky model. In particular, we will address general constraints for the existence along with the stability of de Sitter inflationary solutions in a general case involving not only the Starobinsky

R^2

term but also an additional power-law

R^n

one. According to the obtained results, we will be able to identify which extension is more suitable for an early inflationary phase rather than a late-time cosmic acceleration phase. To be more specific, we will consider several values of n to see whether the corresponding de Sitter inflationary solutions are stable or not.

Note:

40 pages, 20 figures. Final version with additional stability analysis using an effective potential method. Matches the published version. All conclusions remain unchanged. Comments are welcome

inflation: de Sitter
expansion: acceleration
stability
Starobinsky model
cosmological model

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