The authors construct a family of static and rotating black hole metrics with an extra 1/r^n hair that, for negative hair parameter, removes the Cauchy horizon and makes the central singularity spacelike.
A note of the first law of thermodynamics by gravitational decoupling
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abstract
We provide a way of decoupling the first law of thermodynamics in two sectors : the standard first law of thermodynamics and the quasi first law of thermodynamics. It is showed that both sectors share the same thermodynamics volume and the same entropy. However, the total thermodynamics pressure, the total temperature and the total local energy correspond to a simple sum of the thermodynamics contributions of each sector. Furthermore, it is showed a simple example, where there is a phase transition due to the behavior of the temperature at the quasi sector.
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On static and rotating decoupled black holes without inner horizons
The authors construct a family of static and rotating black hole metrics with an extra 1/r^n hair that, for negative hair parameter, removes the Cauchy horizon and makes the central singularity spacelike.