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Beautiful form of Geff in EiBI gravity via the Ward–Kodama entropy-area law

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Abstract An elegant form of the effective gravitational constant, G eff = 2 G N U 2 + V 2 , has been evaluated under the scope of EiBI Universe… Click to show full abstract

Abstract An elegant form of the effective gravitational constant, G eff = 2 G N U 2 + V 2 , has been evaluated under the scope of EiBI Universe via the Wald-Kodama entropy-area law. G eff G eff together with the modified FLRW metric are used to conduct the evolutionary phases of the Universe. EiBI parameter was limited in the range 8 . 60 × 1 0 47 m 2 ≲ b ≲ 4 . 31 × 1 0 49 m 2 with the Lunar Laser Ranging (LLB) constraint. The multiplication of EiBI parameter and the cosmological constant are significantly confined in the range 1 . 12 × 1 0 − 4 ≲ b Λ ≲ 2 . 10 × 1 0 − 3 ; therefore, this showed the significant role of that values in the de Sitter phase as proposed by G eff = G N ( 1 + b Λ ) .

Keywords: kodama entropy; entropy area; area law; form

Journal Title: Physics of the Dark Universe
Year Published: 2020

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