Journal of Holography Applications in Physics
Holographic dual picture of a modified Horndeski black hole
Document Type : Regular article
Authors
- Naveed Ahmad Shah 1
- Abrar Ahmed Naqash 2
- Atif Kaisar Khan 3
- Rameez Farooq Shah 1
- Suhail Ahmad Lone 4
1 Department of Physics, Jamia Millia Islamia, New Delhi - 110025, India
2 Department Of Physics, National Institute Of Technology Srinagar, Jammu and Kashmir 190006, India
3 Department of Metallurgy and Materials Engineering, National Institute of Technology Srinagar, Jammu and Kashmir 190006, India
4 Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India
Abstract
The usual Horndeski black hole do not have $ P-V $ critical points, hence do not show any phase transitions. In this article we a particular modified Horndenski black hole is considered to study the $ P-V $ diagram and the phase transitions. We show that this modified Horndeski black hole solution satisfies the textit{Ist} order phase transition. We also show that the modified Horndeski black hole is holographic dual of a textit{Van der Waals}(VdW) fluid. Finally, we study the thermodynamics of modified Horndeski black hole based on the equation of state originating from the slope of temperature versus entropy. This new prescription provides us a simple and powerful way to study the critical behavior and the phase transition of black holes. The analytical interpretation of possible phase transition points leads us to set some nonphysical range on the horizon radius for the black hole.
Keywords
Main Subjects
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Volume 3, Issue 2
June 2023Pages 17-30
- Receive Date: 20 June 2022
- Revise Date: 30 January 2023
- Accept Date: 09 February 2023