Charged de Sitter-like black holes: quintessence-dependent enthalpy and new extreme solutions

Understand

We consider Reissner-Nordstr\&#34;{o}m black holes surrounded by quintessence where both a non-extremal event horizon and a cosmological horizon exist besides an inner horizon ($-1\leq \omega <-1/3$).

• We determine new extreme black hole solutions that generalize the Nariai horizon to asymptotically de Sitter-like solutions for any order relation between the squares of the charge $q^2$ and the mass parameter $M^2$ provided $q^2$ remains smaller than some limit, which is larger than $M^2$.
• In the limit case $q^2=9\omega^2 M^2/(9\omega^2-1)$, we derive the general expression of the extreme cosmo-black-hole, where the three horizons merge, and discuss some of its properties.
• We also show that the endpoint of the evaporation process is independent of any order relation between $q^2$ and $M^2$.