https://doi.org/10.1140/epjc/s10052-013-2680-7
Regular Article - Theoretical Physics
Thermodynamics of string black hole with hyperscaling violation
1
Young Researchers Club, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
2
Department of Physics, Mazandaran University, Babolsar, Iran
3
Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
* e-mail: b.pourhassan@umz.ac.ir
Received:
8
September
2012
Accepted:
29
November
2013
Published online:
23
January
2014
In this paper, we start with a black brane and construct a specific space-time which violates hyperscaling. To obtain the string solution, we apply the Null-Melvin Twist and KK reduction. Using the difference action method, we study the thermodynamics of the system to obtain a Hawking–Page phase transition. To have hyperscaling violation, we need to consider 
In this case, the free energy 
is always negative and our solution is thermal radiation without a black hole. Therefore, we find that there is no Hawking–Page transition. Also, we discuss the stability of the system and all thermodynamical quantities.
© The Author(s), 2014
