Threefold way to black hole entropy
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Título: | Threefold way to black hole entropy |
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Autor/es: | Bargueño, Pedro | Contreras, Ernesto |
Grupo/s de investigación o GITE: | Astrofísica Relativista |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Física Aplicada |
Palabras clave: | Black hole entropy | Three-fold way | Weinstein entropy | Projective spaces |
Fecha de publicación: | 15-mar-2023 |
Editor: | American Physical Society |
Cita bibliográfica: | Physical Review D. 2023, 107: 066013. https://doi.org/10.1103/PhysRevD.107.066013 |
Resumen: | In this work we propose a correspondence between black hole entropy and a topological quantity defined for projective spaces based on the real, complex, and quaternion numbers. After interpreting Weinstein’s integer as the normalized volume of the quantum phase space, whose logarithm gives place to the area law (in the real case) and to logarithmic corrections with −1|2 and −3|2 coefficients (in the complex and quaternionic cases, respectively), the exact Bekenstein-Hawking entropy is obtained when certain equally spaced spectrum for the event horizon area is imposed. Even more, the minimal area(s) which emerge from our model, are of the form 4 log k, k∈ {2, 4, 16}, in complete agreement with previous works. Finally, the role played by global (complex and quaternionic) phases in different descriptions of black hole entropy is clarified. |
Patrocinador/es: | P. B. is funded by the Beatriz Galindo Program under the Contract No. BEAGAL 18/00207 (Ministerio de Universidades, Spain). |
URI: | http://hdl.handle.net/10045/133767 |
ISSN: | 2470-0010 (Print) | 2470-0029 (Online) |
DOI: | 10.1103/PhysRevD.107.066013 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2023 American Physical Society |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1103/PhysRevD.107.066013 |
Aparece en las colecciones: | INV - Astrofísica Relativista - Artículos de Revistas |
Archivos en este ítem:
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Bargueno_Contreras_2023_PhysRevD.pdf | 280,12 kB | Adobe PDF | Abrir Vista previa | |
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