Critical Black Holes in a Large Charge Limit

The extended thermodynamics of Reissner–Nordström charged black holes in D-dimensional anti-de Sitter spacetime has a phase structure in the (T, p) plane that includes a line of first-order phase transitions ending in a second-order transition point. For each D ≥4, properties of the critical black hole at that point are explored, motivated by the observation that in D =4 its neighborhood plays a core role in defining a very special class of heat engines that asymptote to Carnot efficiency in the large charge limit. This new limit provides a model of a novel low-temperature thermodynamic system. The double limit of approaching the horizon while sending the charge large at an appropriate rate yields a fully decoupled D-dimensional Rindler spacetime with zero cosmological constant.

Note:

4 pages, 1 figure

04.50.Gh
04.70.Dy
11.25.Tq
Black holes
thermodynamics
quantum gravity
black hole: charge
space-time: anti-de Sitter
cosmological constant: 0
space-time: Rindler

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Figures(1)

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