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Analytical solutions of modified Friedmann equation in Tsallis Cosmology for nonflat universe
Lalus H.F.a, Hikmawan G.b
a Department of Physics, Faculty of Teacher Training and Education, Universitas Nusa Cendana, Indonesia
b Theoretical Physics Laboratory, THEPI Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, 40132, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2019, Primrose Hall Publishing Group.The modified Friedmann equation discussed in this paper is the equation derived by Sheykhi (Sheykhi, 2018) in Tsallis cosmology. Tsallis cosmology is a cosmological model developed by Tsallis and Cirto (Tsallis & Cirto, 2013) based on the thermodynamic entropy of a gravitational system such as a black hole. Syiekhi has provided a solution to the equation for the case of flat universe K = 0, but in this paper, we worked on the solutions to the equation for the case of nonflat universe with K≠ 0. We obtained solutions in the form of hypergeometric functions for the era of matter domination and the era of radiation domination, which are only distinguished by constants. For this reason, at the end, we declare the equation solution for both eras in one form of a general solution. In this paper we also provide examples of specific solutions for matter domination era, as an example case, that is derived from the general solution that has been obtained.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Analytical solution,Friedmann equation,Nonflat universe,Tsallis Cosmology[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]