Overcharging problem and thermodynamics in extended phase spaces
- Resource Type
- Working Paper
- Authors
- Chen, Deyou; Zeng, Shan
- Source
- Nuclear Physics B 957 (2020) 115089
- Subject
- General Relativity and Quantum Cosmology
- Language
In this paper, the overcharging problem and thermodynamics in the extended phase spaces of the five-dimensional spherically symmetric topological black holes are investigated by absorptions of scalar particles and fermions. The cosmological constant is regarded as a variable related to pressure and its conjugate quantity is a thermodynamic volume. The first law of thermodynamics is recovered. The second law is violated in the extended phase space of the extremal and near-extremal black holes. The overcharging problem is tested by the existence of the event horizons. The event horizon is determined by the metric component $f(r)$. The minimal values of the metric component at the final stage show that the extremal and near-extremal black holes can not be overcharged.
Comment: 16 pages