https://doi.org/10.1140/epjc/s10052-018-6172-7
Regular Article - Theoretical Physics
BTZ black holes in massive gravity
1
School of Physics, University of Hyderabad, Hyderabad, India
2
Department of Physics, Indian Institute of Science Education and Research Mohali, Sector 81, SAS Nagar, Manauli, 140306, India
3
School of Physics, Damghan University, Damghan, 3671641167, Iran
4
Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan, Kelowna, British Columbia, V1V 1V7, Canada
5
Department of Physics and Astronomy, University of Lethbridge, Lethbridge, Alberta, T1K 3M4, Canada
* e-mail: dey@iisermohali.ac.in
Received:
26
January
2018
Accepted:
22
August
2018
Published online:
27
August
2018
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.
© The Author(s), 2018
