https://doi.org/10.1140/epjc/s10052-024-13083-z
Regular Article - Theoretical Physics
Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
1
Phenikaa Institute for Advanced Study, Phenikaa University, 12116, Hanoi, Vietnam
2
Faculty of Basic Sciences, Phenikaa University, 12116, Hanoi, Vietnam
3
Institute of Physics, National Yang Ming Chiao Tung University, 30010, Hsin Chu, Taiwan
c
tuan.doquoc@phenikaa-uni.edu.vn
Received:
21
March
2024
Accepted:
1
July
2024
Published online:
23
July
2024
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 
term but also an additional power-law 
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.
© The Author(s) 2024
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