Mathematical analysis

BTZ black hole

Hawking radiation

Physics

Black hole (networking)

Link-state routing protocol

Carnot cycle

Gravitation

Massive gravity

Mathematics

Black hole thermodynamics

Graviton

Theoretical physics

Quantum mechanics

Isoperimetric inequality

Computer science

de Sitter–Schwarzschild metric

Entropy (arrow of time)

Routing (electronic design automation)

Routing protocol

Computer network

Classical mechanics

The European Physical Journal C

We analyze certain aspects of BTZ black holes in massive theory of gravity. The black hole solution is obtained by using the Vainshtein and dRGT mechanism, which is asymptotically AdS with an electric charge. We study the Hawking radiation using the tunneling formalism as well as analyze the black hole chemistry for such system. Subsequently, we use the thermodynamic pressure-volume diagram to explore the efficiency of the Carnot heat engine for this system. Some of the important features arising from our solution include the non-existence of quantum effects, critical Van der Walls behaviour, thermal fluctuations and instabilities. Moreover, our solution violates the Reverse Isoperimetric Inequality and, thus, the black hole is super-entropic, perhaps which turns out to be the most interesting characteristics of the BTZ black hole in massive gravity.

BTZ black holes in massive gravity