Abstract
This Letter considers the generalized second law of gravitational thermodynamics in two scenarios featuring a phantom dominated expansion plus a black hole. The law is violated in both scenarios.
Highlights
Current observational evidence leaves enough room for the dark energy field driving the present accelerated expansion of the Universe to be of phantom type [1] -a form of energy that violates the dominant energy condition (DEC)
There the decrease of the black hole mass can be traced to the accretion of virtual particles of negative energy
In the case contemplated by Babichev et al there is no particle emission to make up for the decrease of the black hole entropy
Summary
Current observational evidence leaves enough room for the dark energy field driving the present accelerated expansion of the Universe to be of phantom type [1] -a form of energy that violates the dominant energy condition (DEC). Is the area of the black hole horizon and ρ and p are the energy and pressure of the accreted fluid, respectively. If the latter fulfills the DEC, the black hole mass will increase otherwise it will decrease.
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