Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913448001011712 |
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| author | Gadbail, Gaurav N. Arora, Simran Sahoo, P. K. Bamba, Kazuharu |
| author_facet | Gadbail, Gaurav N. Arora, Simran Sahoo, P. K. Bamba, Kazuharu |
| contents | We study the bounce cosmology to construct a singularity-free $f(\mathcal{R})$ model using the reconstruction technique. The formulation of the $f(\mathcal{R})$ model is based on the Raychaudhari equation, a key element employed in reconstructed models to eliminate singularities. We explore the feasibility of obtaining stable gravitational Lagrangians, adhering to the conditions $f_{\mathcal{R}}>0$ and $f_{\mathcal{R}\mathcal{R}}>0$. Consequently, both models demonstrate stability, effectively avoiding the Dolgov-Kawasaki instability. Our assessment extends to testing the reconstructed model using energy conditions and the effective equation-of-state (EoS). Our findings indicate that the reconstructed super-bounce model facilitates the examination of a singularity-free accelerating universe for both phantom and non-phantom phases. However, in the case of the reconstructed oscillatory bounce model, two scenarios are considered with $ω=-1/3$ and $ω=-2/3$. While the model proves suitable for studying a singular-free accelerating universe in the $ω=-1/3$ case, it fails to demonstrate such behavior under energy conditions for the $ω=-2/3$ scenario. The reconstructed models accommodate early-time bouncing behavior and late- |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04813 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations Gadbail, Gaurav N. Arora, Simran Sahoo, P. K. Bamba, Kazuharu General Relativity and Quantum Cosmology High Energy Physics - Theory We study the bounce cosmology to construct a singularity-free $f(\mathcal{R})$ model using the reconstruction technique. The formulation of the $f(\mathcal{R})$ model is based on the Raychaudhari equation, a key element employed in reconstructed models to eliminate singularities. We explore the feasibility of obtaining stable gravitational Lagrangians, adhering to the conditions $f_{\mathcal{R}}>0$ and $f_{\mathcal{R}\mathcal{R}}>0$. Consequently, both models demonstrate stability, effectively avoiding the Dolgov-Kawasaki instability. Our assessment extends to testing the reconstructed model using energy conditions and the effective equation-of-state (EoS). Our findings indicate that the reconstructed super-bounce model facilitates the examination of a singularity-free accelerating universe for both phantom and non-phantom phases. However, in the case of the reconstructed oscillatory bounce model, two scenarios are considered with $ω=-1/3$ and $ω=-2/3$. While the model proves suitable for studying a singular-free accelerating universe in the $ω=-1/3$ case, it fails to demonstrate such behavior under energy conditions for the $ω=-2/3$ scenario. The reconstructed models accommodate early-time bouncing behavior and late- |
| title | Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.04813 |