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Thermodynamics of spherically symmetric black holes in scale-dependent gravity

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In this work we extend the first law of thermodynamics to spherically symmetric black hole solutions in the context of scale-dependent gravity. After deriving generalized expressions for both the entropy… Click to show full abstract

In this work we extend the first law of thermodynamics to spherically symmetric black hole solutions in the context of scale-dependent gravity. After deriving generalized expressions for both the entropy and energy due to the spatial variation of the gravitational constant we analize, by pointing out some relations between scale-dependent and f (R ) theories, whether or not the former can be described using equilibrium thermodynamics.

Keywords: spherically symmetric; thermodynamics; dependent gravity; symmetric black; scale dependent; thermodynamics spherically

Journal Title: European Physical Journal C
Year Published: 2020

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