Thermodynamics of AdS black holes from deflection angle formalism
We explore a link between AdS black hole thermodynamics and the deflection angle variation. Using the elliptic function analysis, we first study the phase structure of RN-AdS solutions in terms of optical aspects. Precisely, we find that the stable and the unstable phases can be derived from thermal...
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Published in | Physics letters. B Vol. 817; p. 136313 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
10.06.2021
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | We explore a link between AdS black hole thermodynamics and the deflection angle variation. Using the elliptic function analysis, we first study the phase structure of RN-AdS solutions in terms of optical aspects. Precisely, we find that the stable and the unstable phases can be derived from thermal variations of the deflection angle. Then, we investigate the Hawking-Page transition from the Gibbs energy optical dependence. Among others, we reveal that the large black hole/small black hole transition occurs at a specific value of the deflection angle. The finding results, being confirmed by the help of the Ruppeiner metric of the phase state space, indicate that the deflection angle can be exploited to unveil data on thermodynamics of AdS black holes. |
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ISSN: | 0370-2693 1873-2445 |
DOI: | 10.1016/j.physletb.2021.136313 |