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Solutions of Dirac’s equation in Bianchi type i spacetime in teleparallel gravity theory
Triyantaa,c, Supardib,c, Zen F.P.a,c
a Theoretical High Energy Physics and Instrumentation Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
b Physics Department, Sriwijaya University, Indonesia
c Indonesian Center for Theoretical Physics and Mathematical Physics, 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]Different from the Einstein’s general relativity which describes gravity through the curvature of a spacetime, teleparallel gravity theory depicts gravity through the Weitzenbock torsion of the spacetime. This leads to different expressions of the dynamical equations of fundamental fields, including Dirac fields, in both theories. Here we derive two types of solutions of the Dirac’s equations for the case of isotropic Bianchi type I spacetime. The first is an oscillatory solution, i.e. the time dependence of the solution is chosen to be sinusoidal. Here we derive the general form of space coordinate dependent part of the solution. The second type of solution is a solution where the space coordinate part of solution is chosen to be sinusoidal. Here we derive the time dependence of the solution for the case of exponential scale factor. © 2013 AIP Publishing LLC.[/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]Bianchi type I spacetime,Dirac’s equation,teleparallel gravity[/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]https://doi.org/10.1063/1.4820993[/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]