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

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 inv...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 84; no. 7; pp. 729 - 19
Main Authors Pham, Tuyen M., Nguyen, Duy H., Do, Tuan Q., Kao, W. F.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 23.07.2024
Springer Nature B.V
SpringerOpen
Subjects
Astronomy
Astrophysics and Cosmology
Elementary Particles
Gravity
Hadrons
Heavy Ions
Investigations
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Power law
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Stability
String Theory
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Summary: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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-13083-z