Thermodynamics of Third Order Lovelock-Born-Infeld Black Holes
Abstract
We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electromagnetic field. Considering special second and third order coefficients (α22=3α3=α2), we analyze the thermodynamics of third order Lovelock-Born-Infeld black holes and, in 7-dimensional AdS space-time, discuss the stability of black holes in different event horizon structures. We find that the cosmological constant plays an important role in the distribution of stable regions of black holes.
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