Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
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| Format: | Preprint |
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2025
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| _version_ | 1866914040998002688 |
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| author | Keshav, M. V. Pradosh Kenath, Arun |
| author_facet | Keshav, M. V. Pradosh Kenath, Arun |
| contents | We construct an analytic f(R) gravity model that unifies early-time inflation with late-time cosmic acceleration within a single covariant framework. At high curvature, the model reproduces a Starobinsky-like inflationary plateau, while at low curvature it asymptotes to a stable dark energy-dominated phase. In the scalar-tensor representation, this construction yields a hilltop-type potential in the Jordan frame, which maps to an exponential potential in the Einstein frame. To account for radiative effects, we introduce a logarithmic correction to the Einstein-frame potential inspired by one-loop effective field theory, producing a late-time flattening without requiring fine-tuning. The resulting scalaron dynamics reduce the effective mass to O(H_0), inducing a thawing regime that deviates from a cosmological constant at the sub-percent levels. A joint background likelihood analysis using Pantheon+SH0ES and BAO+CC datasets (within the CPL parametrization) yields H_0 = 73.4+-0.6 km/s/Mpc and Omega_m = 0.253+-0.007, consistent with local expansion rate measurements. The best-fit scalar field parameters are phi_0 \approx 0.027\,M_Pl and lambda \approx 0.010\,M_Pl, corresponding to a present-day dark energy equation of state w_0 \approx -0.985. While compatible with LambdaCDM within current observational bounds, the model satisfies GR recovery at low curvature and exhibits attractor-like behavior, thereby minimizing sensitivity to initial conditions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_13373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Loop-corrected scalar potentials and late-time acceleration in f(R) gravity Keshav, M. V. Pradosh Kenath, Arun General Relativity and Quantum Cosmology We construct an analytic f(R) gravity model that unifies early-time inflation with late-time cosmic acceleration within a single covariant framework. At high curvature, the model reproduces a Starobinsky-like inflationary plateau, while at low curvature it asymptotes to a stable dark energy-dominated phase. In the scalar-tensor representation, this construction yields a hilltop-type potential in the Jordan frame, which maps to an exponential potential in the Einstein frame. To account for radiative effects, we introduce a logarithmic correction to the Einstein-frame potential inspired by one-loop effective field theory, producing a late-time flattening without requiring fine-tuning. The resulting scalaron dynamics reduce the effective mass to O(H_0), inducing a thawing regime that deviates from a cosmological constant at the sub-percent levels. A joint background likelihood analysis using Pantheon+SH0ES and BAO+CC datasets (within the CPL parametrization) yields H_0 = 73.4+-0.6 km/s/Mpc and Omega_m = 0.253+-0.007, consistent with local expansion rate measurements. The best-fit scalar field parameters are phi_0 \approx 0.027\,M_Pl and lambda \approx 0.010\,M_Pl, corresponding to a present-day dark energy equation of state w_0 \approx -0.985. While compatible with LambdaCDM within current observational bounds, the model satisfies GR recovery at low curvature and exhibits attractor-like behavior, thereby minimizing sensitivity to initial conditions. |
| title | Loop-corrected scalar potentials and late-time acceleration in f(R) gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.13373 |