Carnot cycles involving black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Carnot Cycle, Schwarzschild Metric, Specific Heat, Thermodynamic Equilibrium, Black Body Radiation, Heat Transfer

Scientific paper

The evolution of a series of Carnot cycles experienced by a positive heat capacity system working between two finite negative heat capacity (NHC) systems is examined. In an NHC, such as a black hole, the loss of energy warms the system. State equations are defined for each NHC source, both of which satisfy the Hawking stability criterion. Carrying heat between the sources increases their temperature differences and the efficiency of heat transfer. Eventually, one of the black holes evaporates at a specific cold temperature. Continuing the heat transfer is shown to result in different final temperatures, indicating that the Carnot cycle is fundamentally different in the conditions studied.

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