Estimation of cosmological parameters,stability analysis and energy conditions in viable modified gravity |
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| Institution: | 1. Department of Mathematics, Institute of Applied Sciences and Humanities GLA University, Mathura, Uttar Pradesh, India;2. P. G. Department of Mathematics, Fakir Mohan University, Balasore, Odisha, India;1. School of Electronics and Information Engineering, Hengshui University, Hebei 053000, PR China;2. Department of Physics, College of Science, Nanjing Agricultural University, Nanjing 210095, PR China;1. Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–4900, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Applied Mathematics, National Research Nuclear University 31 Kashirskoe Shosse, Moscow 115409, Russian Federation;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;6. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, Yozgat 66100, Turkey;7. Departamento de Matematicas Aplicadas y Sistemas, Universidad Autnoma Metropolitana–Cuajimalpa, Vasco de Quiroga 4871, Mexico City 05348, Mexico;8. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba 23000, Algeria;9. Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania;10. Science Program, Texas A&M University at Qatar, Doha, PO Box 23874, Qatar |
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| Abstract: | In the present paper, we have investigated the Friedmann-Robertson-Walker (FRW) model in viable f(R, T) gravity with f(R, T) function proposed as where ξ is an arbitrary constant, R is the scalar curvature and T is the trace of stress energy tensor. Defining the scale factor, the field equations are solved numerically and the energy conditions are analyzed. Further, determining Hubble parameter and deceleration parameter, their present values are estimated. Furthermore, 57 redshift data (42 redshift data from Supernova Cosmology project and 15 redshift data from Calán/ Tolono Supernova survey) are used to estimate the age of the universe and to find the best fit curves for luminosity distance and apparent magnitude. |
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