https://doi.org/10.1140/epjc/s10052-023-11768-5
Regular Article - Theoretical Physics
Topology in thermodynamics of regular black strings with Kaluza–Klein reduction
Phenikaa Institute for Advanced Study and Faculty of Fundamental Sciences, Phenikaa University, Yen Nghia, Ha Dong, 12116, Hanoi, Vietnam
b
nam.caohoang@phenikaa-uni.edu.vn
Received:
26
May
2023
Accepted:
26
June
2023
Published online:
8
July
2023
We study the topological defects in the thermodynamics of regular black strings (from a four-dimensional perspective) that is symmetric under the double Wick rotation and constructed in the high-dimensional spacetime with an extra dimension compactified on a circle. We observe that the thermodynamic phases of regular black strings can be topologically classified by the positive and negative winding numbers (at the defects) which correspond to the thermodynamically stable and unstable branches. This topological classification implies a phase transition due to the decay of a thermodynamically unstable regular black string to another which is thermodynamically stable. We confirm these topological properties of the thermodynamics of regular black strings by investigating their free energy, heat capacity, and Ruppeiner scalar curvature of the state space. The Ruppeiner scalar curvature of regular black strings is found to be always negative, implying that the interactions among the microstructures of regular black strings are only attractive.
© The Author(s) 2023
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