What question did this study set out to answer?

The aim is to apply thermodynamic topology to characterize ultraspinning Kerr-AdS black holes across dimensions.

June 21, 2026Physics Letters BOpen Access

Dimensional structure of thermodynamic topology in ultraspinning Kerr-AdS black holes

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Randomized trial analyzes thermodynamic structures of ultraspinning Kerr-AdS black holes, suggesting a unified classification across dimensions.

The aim is to apply thermodynamic topology to characterize ultraspinning Kerr-AdS black holes across dimensions.
Constructed the off-shell Helmholtz free energy and vector field
Analyzed phase structures in four- and five-dimensional cases
Examined endpoint behavior of the inverse-temperature curve
Identified two thermodynamic topological structures: standard class W 1 + and subclass W ˜ 1 +
Noted differences in configurations between even- and odd-dimensional black holes
Concluded no additional topological classes exist beyond the identified structures

Tian et al. (2026) studied this question.

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Randomized trial analyzes thermodynamic structures of ultraspinning Kerr-AdS black holes, suggesting a unified classification across dimensions.