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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2412.15300 |
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| _version_ | 1866916549442404352 |
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| author | Kibaroğlu, Salih |
| author_facet | Kibaroğlu, Salih |
| contents | In this paper, we investigate anisotropic cosmological solutions within the framework of Born-Infeld-f(R) gravity, a modification of general relativity that incorporates higher-order curvature invariants. Specifically, we focus on the analysis of Bianchi type-I solutions, which provide a valuable framework for studying the evolution of spatial anisotropies in cosmology. By introducing a reconstruction scheme for this model, we explore the behavior of these solutions, analyze various cosmic evolution scenarios, including Starobinsky inflation, de Sitter-like expansion, power-law dynamics, and Big Rip-like evolution. Additionally, we examine the exponential and power-law behavior of the auxiliary metric function to illustrate its impact on the dynamics of cosmic evolution. Our analysis elucidates how the modifications introduced by Born-Infeld-f(R) gravity influence anisotropic dynamics, offering new perspectives on the late-time behavior of the universe and potential future singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropic Born-Infeld-f(R) Cosmologies Kibaroğlu, Salih General Relativity and Quantum Cosmology In this paper, we investigate anisotropic cosmological solutions within the framework of Born-Infeld-f(R) gravity, a modification of general relativity that incorporates higher-order curvature invariants. Specifically, we focus on the analysis of Bianchi type-I solutions, which provide a valuable framework for studying the evolution of spatial anisotropies in cosmology. By introducing a reconstruction scheme for this model, we explore the behavior of these solutions, analyze various cosmic evolution scenarios, including Starobinsky inflation, de Sitter-like expansion, power-law dynamics, and Big Rip-like evolution. Additionally, we examine the exponential and power-law behavior of the auxiliary metric function to illustrate its impact on the dynamics of cosmic evolution. Our analysis elucidates how the modifications introduced by Born-Infeld-f(R) gravity influence anisotropic dynamics, offering new perspectives on the late-time behavior of the universe and potential future singularities. |
| title | Anisotropic Born-Infeld-f(R) Cosmologies |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.15300 |