https://doi.org/10.1140/epjc/s10052-012-2184-x
Regular Article - Theoretical Physics
Third order Lovelock black branes in the presence of a nonlinear electromagnetic field
1
Physics Department and Biruni Observatory, Shiraz University, Shiraz, 71454, Iran
2
Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran
* e-mail: hendi@shirazu.ac.ir
Received:
9
July
2012
Revised:
21
August
2012
Published online:
17
October
2012
We consider third order Lovelock gravity coupled to an U(1) gauge field for which its Lagrangian is given by a power of Maxwell invariant. In this paper, we present a class of horizon flat rotating black branes and investigate their geometrical properties and the effect of nonlinearity on the solutions. We use some known formulas and methods to calculate thermodynamic and conserved quantities. Finally, we check the satisfaction of the first law of thermodynamics.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012