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Microscopic Entropy of Extremal Kerr Black Holes
Sakti M.F.A.R.a, Suroso A.a,b, Zen F.P.a,b
a Theoretical Physics Division, Institut Teknologi Bandung, Bandung, 40132, Indonesia
b Indonesia Center for Theoretical and Mathematical Physics (ICTMP), 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 Published under licence by IOP Publishing Ltd.Kerr black holes are strong candidates for the astrophysical black holes. The understanding of the microscopic structure of this black hole is quite interesting to be investigated. The holographic principle is one way to study the microscopic part of Kerr black holes. There have been a conjecture that there is a duality between near-horizon geometry of extremal Kerr black hole and the conformal field theory (CFT) on its boundary of the horizon, called by Kerr/CFT correspondence. Here, we review this correspondence where in the background geometry, boundary conditions are found for which the algebra of surface charges enhances the U(1) to one copy of the Virasoro algebra with central charge c L = 12J. After finding the conformal temperature, which is T L = 1/2π, the entropy is obtained from the Cardy formula. Finally, entropy from the Cardy formula agrees with the Bekenstein-Hawking entropy of the extremal Kerr black hole and also with the corrected one. Kerr/CFT correspondence is also used to find the entropy for another black hole that we show at the end.[/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]Bekenstein-Hawking entropy,Black holes,Cardy formulas,Conformal field theories,Extremal,Kerr black hole,Microscopic structures,Virasoro algebra[/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][/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]We gratefully acknowledge support by Riset PMDSU 2016 and Desentralisasi ITB 2017 from Ministry of Research, Technology, and Higher Education of the Republic of Indonesia. M.F.A.R.S also thanks all members of Theoretical Physics Laboratory, Institut Teknologi Bandung for the valuable support.[/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/10.1088/1742-6596/1204/1/012009[/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]