jum Journal of Universal Mathematics 2618-5660 2618-5660 Gökhan ÇUVALCIOĞLU 10.33773/jum.506503 Mathematical Sciences Matematik VARIABLE GENERALIZED CHAPLYGIN GAS AS A SCALAR FIELD DARK ENERGY MODEL Saltı Mustafa MERSIN UNIVERSITY Korunur Murat MUNZUR UNIVERSITY Sogut Kenan MERSIN UNIVERSITY Aydoğdu Oktay MERSIN UNIVERSITY 01 30 2019 2 1 98 102 01 02 2019 01 14 2019 Copyright © 2018, Journal of Universal Mathematics 2018 Journal of Universal Mathematics

A large number of scalar eld ideas have been introduced in literaturein order to discuss the speedy expansion nature of our universe. Scalareld denitions naturally come forward in particle physics. Fundamental particlephysics theories can yield various scalar eld descriptions, but they do notdene its self-interacting potential exactly due to the complexity of correspondingequations. Here, we mainly focused on the reconstruction of the tachyonscalar eld dark energy prescription by making use of the variable generalizedChaplygin gas (VGCG) dark energy model in the four-dimensional (4D)spatiallyat Friedmann-Robertson-Walker (FRW) framework.

 Cosmology Dark Energy Scalar Field S. Perlmutter, et al., Measurements of Omega and Lambda from 42 High-Redshift Supernovae, Astrophys. J., 517, 565 (1999).C.L. Bennet, et al., First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results, Astrophys. J. Suppl., 148, 1 (2003). M. Tegmark, et al., Cosmological parameters from SDSS and WMAP, Phys. Rev. D, 69, 103501(2004). A.W. Allen, et al., Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters, Mon. Not. R. Astron. Soc., 353, 457 (2004).P.A.R. Ade, et al., Planck 2013 results - XII. Component separation, A&A 571, A12 (2014).P.A.R. Ade, et al., Planck 2015 results - XIII. Cosmological parameters, A&A 594, A13 (2016).M.F. Wondrak, The Cosmological Constant and its Problems: A Review of Gravitational Aether, e-Print: gr-qc/1705.06294 V. Sahni, Dark matter and dark energy, Lect. Notes Phys., 653, 141-180 (2004). E.J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy, Int. J. Mod. Phys. D,15, 1753 (2006). R.R. Caldwell, A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state, Phys. Lett. B, 545, 23-29 (2002).B. Feng, X. L. Wang and X. M. Zhang, Dark Energy Constraints from the Cosmic Age and Supernova, Phys. Lett. B, 607, 35 (2005).T. Chiba, T. Okabe and M. Yamaguchi, Kinetically driven quintessence, Phys. Rev. D, 62, 023511 (2000).A. Yu. Kamenshchik, U. Moschella and V. Pasquier, An alternative to quintessence, Phys. Lett. B, 511, 265 (2001).J. Christensen-Dalsgard, Lecture Notes on Stellar Structure and Evolution, Aarhus Univ. Press, Aarhus, p.13 (2004).M. Salti, O. Aydogdu, H. Yanar and K. Sogut, Variable generalized Chaplygin gas in a 5D cosmology, Annals of Physics, 390, 131-142 (2018). M. Askin, M. Salti and O. Aydogdu, Cosmology via thermodynamics of Polytropic gas, Mod. Phys. Lett. A, Vol.32, No.32, 1750177 (2017). B. Boisseau, G. Esposito-Farese, D. Polarski and A. A. Starobinsky, Reconstruction of a scalar-tensor theory of gravity in an accelerating universe, Phys. Rev. Lett., 85, 2236 (2000). S. Capozziello, Curvature Quintessence, Int. J. Mod. Phys. D, 11, 483 (2002). V. Faraoni, f(R)-gravity: Successes and challenges, XVIII Congresso SIGRAV General Relativity and Gravitational Physics, Cosenza, 2225 September (2008). S. Capozziello, R. Cianci, C. Stornaiolo and S. Vignolo, f(R) Cosmology with torsion, Phys. Scr., 78, 065010 (2008). H. Abedi and M. Salti, Multiple field modifed gravity and localized energy in teleparallel framework, Gen. Rel. Grav., 47, 93 (2015). M. Askin, H. Abedi and M. Salti, Thermodynamics in f(T; )-gravity, Rom. J. Phys., Vol.60, Nos.1-2, 44-55 (2015). M. Salti, M. Korunur, I Acikgoz, N. Princcioglu and F. Binbay, f(T;R) theory of gravity, Int. J. Mod. Phys. D, 27, 1850062 (2018). O. Klein, Quantentheorie und funfdimensionale Relativitatstheorie, Zeits. Phys., 37, 895 (1926).T. Kaluza, On the Unication Problem in Physics, Sits. Press. Akad. Wiss. Math. Phys., K1, 895 (1921).G. Calcagni, Fractal universe and quantum gravity, Phys. Rev. Lett., 104, 251301 (2010). M. Salti, H. Yanar, O. Aydogdu and K. Sogut, Dynamics of Ghost Scalar Fields in Kaluza-Klein Cosmology, Astrophys. Space Sci., Vol.362, No.11, 207 (2017). I. Acikgoz, F. Binbay, M. Salti and O. Aydogdu, Ghost DBI-essence in fractal geometry, Eur.Phys. J. Plus, 131, 157 (2016).M. Li, X. D. Li, S. Wang and X. Zhang, Holographic dark energy models: A comparison from the latest observational data, J. Cosmol. Astropart. Phys., 06, 036 (2009). Y.-F. Cai, S. Capozziello, M. De Laurentis and E. N. Saridakis, f(T) teleparallel gravity and cosmology, Rept. Prog. Phys., 79, 106901 (2016).X.Y. Yang, Y.B. Wu, J.B. Lu and S. Li, Evolution of Variable Generalized Chaplygin Gas, Chin. Phys. Lett., 24, 302 (2007). G.W. Gibbons, Cosmological Evolution of the Rolling Tachyon, Phys. Lett. B, 537, 1 (2002). A. Mazumdar, S. Panda and A. Perez-Lorenzana, Assisted in ation via tachyon condensation, Nucl. Phys. B, 614, 101 (2001).T. Padmanabhan, Accelerated expansion of the universe driven by tachyonic matter, Phys. Rev. D, 66, 021301 (2002). J. Lu, Cosmology with a variable generalized Chaplygin gas, Physics Letters B, 680, 404-410 (2009)M.Jamil, K. Karami and A. Sheykhi, Restoring New Agegraphic Dark Energy in RS II Braneworld, Int. J. Theor. Phys., 50, 3069 (2011).A. Pasqua, A. Khodam-Mohammadi, M. Jamil and R. Myrzakulov, Astrophys. Space Sci., 340, 199 (2012).