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Note on Nariai and Tomita's and Starobinsky's cosmological solutions in the R2 modified gravity

2016/03/20 by Kenji Tomita, Tomita, Kenji
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #astro-ph.CO #gr-qc

paper · pdf · doi:10.48550/arxiv.1603.07621

5 pages, 2 figures

arxiv created 2016/03/20 · openalex publication_date 2016/03/20 · arxiv updated 2016/03/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Cosmological solutions derived by Nariai and Tomita (1971) and by Starobinsky (1980) are compared, and it is shown that the former derived de Sitter expansion in the R2 modified gravity (without cosmological constant) at the earliest stage, and nine years later the latter derived the well-known inflationary solution. Next the property of their simplified models is described using the method of conformal transformations, and how the inflation arises and the singularity is avoided is shown. Finally the initial and final states of the inflation are discussed.

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