One of the most interesting areas of contemporary physics is the investigation of black holes. Strongly coupled theory research has found tremendous success with the AdS/CFT duality method. The dual description of black holes is one of the main issues in the AdS/CFT conversation. In the presence of a string cloud, Tanay Dey and Subir Mukhopadhyay described charged AdS black holes (in 2023) with higher derivative corrections. A novel variety of black hole that is unstable in the presence of a string cloud has been found.
The authors considered the Einstein gravity along with the Gauss-Bonnet term as the higher derivative correction. The charged black hole solution was obtained in presence of a string cloud. The black hole configuration is related to the deconfined phase of the gauge theory, while the pure AdS corresponds to the confined phase. The presence of a string cloud introduces an additional twist to the thermodynamics of the black hole.
The free energy can be computed from the on-shell Euclidean action, which requires a subtraction. In order to regularize the divergences ensuing from the asymptotic limit, the authors chose to subtract away the free energy of the reference background, which is the neutral extremal black hole obtained by setting T = q = 0. The free energy was plotted against temperature, which shows a Hawking-Page like transition between two black holes. As the chemical potential becomes greater than a critical value, it admits only a single black hole.
The authors concluded that the higher derivative corrections are a common feature of the UV completion of Einstein gravity, and they provide √1 corrections in the gauge theory. The present solution is electrically charged, and one can try to obtain a similar solution, where it is magnetically charged as well. The study of the instabilities of the present solution may lead to a better understanding of the solution.
Strongly coupled theories’ nature has been significantly clarified by the study of black holes in the AdS/CFT correspondence. Research in this area has been given new direction by the current investigation of charged AdS black holes with larger derivative corrections in the presence of string cloud. An important advancement in this field of study is the identification of a brand-new class of black hole that is unstable in the presence of a string cloud.
Modern physics’ investigation of black holes is a fascinating subject. Strongly coupled theory research has found tremendous success with the AdS/CFT duality method. A new type of black hole that is unstable in the presence of a string cloud has been found through the current study of charged AdS black holes with larger derivative corrections in the presence of a string cloud. The authors have shed important light on the black hole’s thermodynamics and opened up fresh directions for study in this area.