Attractor inflationary solutions in braneworld scenario

This paper is devoted to discuss the attractor solutions of inflationary Chaplygin gas models such as generalized Chaplygin gas, modified Chaplygin gas and generalized cosmic Chaplygin gas in the framework of Randall-Sundrum type II braneworld scenario. We investigate the inflationary parameters like scalar spectral index ns, tensor to scalar ratio r, and the running of scalar index <mml:mfrac>dns dln kappa</mml:mfrac> as a function of e-folding numbers N in the presence of attractor: ns - 1 proportional to <mml:mfrac>1 N</mml:mfrac>. We evaluate and reformulate these parameters under high energy condition. In this inflationary scenario, we develop ns - N, r - N, r - ns and <mml:mfrac>dns dln kappa</mml:mfrac> - N planes. We also found that these cosmological parameters and perturbation strongly agree with the recent Planck data 2018 for considered Chaplygin gas models instead of <mml:mfrac>dns dln kappa</mml:mfrac> in case of generalized cosmic Chaplygin gas.