https://doi.org/10.1140/epjp/s13360-020-00695-z
Regular Article
Modified BTZ black hole and some thermodynamical properties in dilaton/scalar gravity model
1
Department of physics, South Tehran Branch, Islamic Azad University, Tehran, Iran
2
Physics Department, Salahaddin University-Erbil, Kirkuk Road, 44001, Erbil, Kurdistan Region, Iraq
3
Department of Physics, Faculty of Science, Islamic Azad University, Mahabad Branch, 59135-443, Tehran, Iran
Received:
10
January
2020
Accepted:
14
August
2020
Published online:
31
August
2020
We construct a new class of black hole solutions of Einstein’s gravity in the presence of dilaton/scalar fields. In this regard, we present a general action (Eq. (1) in the introduction) where Einstein’s gravity is coupled with these fields. Using this action, we derive the equations of motion. Moreover, we employ n-dimensional static toroidal space-time as the background geometry. Our study reveals that the standard BTZ solution can be recovered from some of these solutions as a special case. We point out that the asymptotic behavior of the obtained solutions is neither asymptotically flat nor (A)dS ((anti-) de Sitter). We also show under which conditions these solutions behave (A)dS, asymptotically. Some basic thermodynamics of the black hole solution is also analyzed. The most important result derived from our study is that the presence of the dilaton field increases the tendency of temperature to be positive near the origin. Besides, when we investigate the black hole’s stability, it is shown that the presence of this field makes the solutions to be more stable near the origin.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
