The D-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy

Author:

Sekhmani Yassine12ORCID,Hazarika Bidyut3ORCID,Phukon P.33ORCID,Landry Alexandre4ORCID,Maurya S. K.2ORCID,Rayimbaev J.5678910ORCID

Affiliation:

1. Khazar University

2. University of Nizwa

3. Dibrugarh University

4. Dalhousie University

5. National University of Uzbekistan

6. University of Tashkent for Applied Sciences

7. Urgench State University

8. Shahrisabz State Pedagogical Institute

9. Tashkent State Technical University

10. Samarkand State University

Abstract

Abstract This paper mainly aims to solve the anti-deSitter Black Holes (AdS BH) under the Barrow entropy under polytropic gas fluid, especially the Chaplygin gas. First, we develop this last polytropic model in detail to then obtain the possible solutions and thermodynamic conditions on the energy momentum and the Barrow entropy for spacetimes of spatial dimension $$D>3$$ D > 3 . Then, we focus on thermodynamic solutions and the different impacts on the Barrow entropy of the black hole, the temperature profile, the mass, and the various physical quantities involved. Afterwards, we focus on the specific cases of the solutions of dimensions $$D=4$$ D = 4 and 5 to concretely test the models, especially from the point of view of the thermodynamic topology. Finally, we generalize everything by elaborating and testing the stability of the models to arrive at the thermal geometry of the AdS BH.

Funder

TRC Project

Department of Science and Technology, Ministry of Science and Technology, India

Publisher

Springer Science and Business Media LLC

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