首页|View of thermodynamic phase transition of the charged Gauss-Bonnet AdS black hole via the shadow
View of thermodynamic phase transition of the charged Gauss-Bonnet AdS black hole via the shadow
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We examine thermodynamic phase transition(PT)of the charged Gauss-Bonnet AdS black hole(BH)by utilizing the shadow radius.In this system,we rescale the corresponding Gauss-Bonnet coefficient α by a factor of 1/(D-4),and ensure that α is positive to avoid any singularity problems.The equation derived for the shadow radius indicates that it increases as the event horizon radius increases,making it an independent variable for determining BH temperature.By investigating the PT curve in relation to shadows,we can observe that the shadow radius can be used as an alternative to the event horizon radius in explaining the phenomenon of BH PT.Furthermore,the results indicate that an increase in the parameter α corresponds to a decrease in the temperature of the BH.By utilizing the relationship between the temperature and the shadow radius,it is possible to obtain the thermal profile of the Gauss-Bonnet AdS BH.It is evident that there is an N-type variation in temperature for pressures P<Pc.Additionally,as the parameter α increases,the region covered by shadow expands while the temperature decreases.The utilization of BH shadows as a probe holds immense significance in gaining a deeper understanding of BH thermodynamic behavior.
Gauss-Bonnet AdS black holethermodynamicshadow
何柯腱、郭森、罗智、李国平
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College of Physics,Chongqing University,Chongqing 401331,China
Guangxi Key Laboratory for Relativistic Astrophysics,School of Physical Science and Technology,Guangxi University,Nanning 530004,China
School of Physics and Astronomy,China West Normal University,Nanchong 637000,China
国家自然科学基金starting fund of China West Normal UniversitySichuan Youth Science and Technology Innovation Research Team重庆市科技局项目四川省自然科学基金