For Schwarzschild black holes, generalized non-extensive entropies such as Rényi, Tsallis, and four- and five-parameter forms cannot reproduce both the Hawking temperature and the ADM mass; only the Bekenstein-Hawking entropy satisfies both.
Holographic dark energy from minimal supergravity
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We embed models of holographic dark energy coupled to dark matter in minimal supergravity plus matter, with one chiral superfield. We analyze two cases. The first one has the Hubble radius as the infrared cutoff and the interaction between the two fluids is proportional to the energy density of the dark energy. The second case has the future event horizon as infrared cutoff while the interaction is proportional to the energy density of both components of the dark sector.
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Black Holes Thermodynamics and Generalised Non-Extensive Entropy
For Schwarzschild black holes, generalized non-extensive entropies such as Rényi, Tsallis, and four- and five-parameter forms cannot reproduce both the Hawking temperature and the ADM mass; only the Bekenstein-Hawking entropy satisfies both.