scholarly journals Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
A. Sheykhi ◽  
A. Kazemi
2009 ◽  
Vol 42 (2) ◽  
pp. 367-379 ◽  
Author(s):  
Ahmad Sheykhi ◽  
Masoud Allahverdizadeh

2015 ◽  
Vol 24 (06) ◽  
pp. 1550040 ◽  
Author(s):  
Seyed Hossein Hendi

In this paper, we consider third-order Lovelock–Maxwell gravity with additional (Fμν Fμν)2 term as a nonlinearity correction of the Maxwell theory. We obtain black hole solutions with various horizon topologies (and various number of horizons) in which their asymptotical behavior can be flat or anti-de Sitter with an effective cosmological constant. We investigate the effects of Lovelock and electrodynamic corrections on properties of the solutions. Then, we restrict ourselves to asymptotically flat solutions and calculate the conserved and thermodynamic quantities. We check the first law of thermodynamics for these black hole solutions and calculate the heat capacity to analyze stability. Although higher dimensional black holes in Einstein gravity are unstable, here we look for suitable constraints on the black hole radius to find thermally stable black hole solutions.


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