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.
Highlights
IntroductionIn this work we investigate the role played by a spatially-varying Newton and cosmological constants under the scale-dependent approach [19] in the thermodynamics of spherically symmetric black holes in order to test whether or not the theory can be derived from equilibrium thermodynamics
In which an additional entropy production term emerges
In this work we investigate the role played by a spatially-varying Newton and cosmological constants under the scale-dependent approach [19] in the thermodynamics of spherically symmetric black holes in order to test whether or not the theory can be derived from equilibrium thermodynamics
Summary
In this work we investigate the role played by a spatially-varying Newton and cosmological constants under the scale-dependent approach [19] in the thermodynamics of spherically symmetric black holes in order to test whether or not the theory can be derived from equilibrium thermodynamics. 3 in order to derive an extended thermodynamical principle in spherically symmetric black holes. This work is organized as follows: Sect. The implications of this principle for black hole entropy and energy are discussed in Sect. 4. after a comparison of the results here reported with that of f (R) theories concerning entropy production are left to Sect.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
