Black hole in Dehnen 1,4,12 dark matter halo: exact solution, lensing, light ring, and thermodynamics
Issued Date
2025-11-01
Resource Type
ISSN
14346044
eISSN
14346052
Scopus ID
2-s2.0-105021081441
Journal Title
European Physical Journal C
Volume
85
Issue
11
Rights Holder(s)
SCOPUS
Bibliographic Citation
European Physical Journal C Vol.85 No.11 (2025)
Suggested Citation
Senjaya D. Black hole in Dehnen 1,4,12 dark matter halo: exact solution, lensing, light ring, and thermodynamics. European Physical Journal C Vol.85 No.11 (2025). doi:10.1140/epjc/s10052-025-15005-z Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/113098
Title
Black hole in Dehnen 1,4,12 dark matter halo: exact solution, lensing, light ring, and thermodynamics
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Author's Affiliation
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Abstract
In this work, we present the exact solution of a static, spherically symmetric black hole embedded in a Dehnen 1,4,12 dark matter halo. We explore both its optical and thermodynamic properties. Using the principle of least action, we derive the null geodesics to analyze and illustrate the corresponding gravitational lensing and light ring phenomena in the presence of the dark matter halo. We then turn to the thermodynamics of the black hole–dark matter system, examining the mass function, entropy, temperature, heat capacity, and Gibbs free energy to assess both local and global stability. Our results show that the surrounding dark matter halo plays a crucial role: it not only enhances the thermodynamic stability of the black hole but also enables the occurrence of phase transitions.