Bouncing universe models in an extended gravity theory |
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| Affiliation: | 1. Department of Physics, Indira Gandhi Institute of Technology, Sarang, Dhenkanal 759146, Odisha, India;2. Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad 500078, India;3. Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata 700 010, West Bengal, India;4. Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata 700 010, West Bengal, India;1. Department of Applied Mathematics, Northwestern Polytechnical University, Xian, 710072, China;2. Department of Mathematics, GITAM Bengaluru, Karnataka, 562163, India;3. School of Energy and Power, Xian Jiaotong University, No. 28, Xianning West Road, Xian 710049, China;4. School of Aerospace and Mechanical Engineering, Nanyang Technological University, Singapore;5. Department of Mathematics, Government College University Faislabad, Punjab, Pakistan;1. School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, PRChina;2. Hunan Key Laboratory for High-Microstructure and Ultrafast Process, College of Physics and Electronics, Central South University, Changsha 410083, PR China;1. Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan;2. Department of Physics and Center for High Energy Physics, Chung-Yuan Christian University, Chung-Li 32023, Taiwan;3. Department of Physics, Pukyong National University (PKNU), Busan 608–737, Republic of Korea |
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| Abstract: | Some bouncing models are investigated in the framework of an extended theory of gravity. The extended gravity model is a simple extension of the General Relativity where an additional matter geometry coupling is introduced to account for the late time cosmic speed up phenomena. The dynamics of the models are discussed in the background of a flat FRW universe. Some viable models are reconstructed for specifically assumed bouncing scale factors. The behavior of the models are found to be decided mostly by the parameters of the respective models. The extended gravity based minimal matter-geometry coupling parameter has a role to remove the omega singularity occurring at the bouncing epoch. It is noted that the constructed models violate the energy conditions, however, in some cases this violation leads to the evolution of the models in phantom phase. The stability of the models are analyzed under linear homogeneous perturbations and it is found that, near the bounce, the models show instability but the perturbations decay out smoothly to provide stable models at late times. |
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