5 research outputs found
Thermodynamics of rotating black branes in -dimensional Einstein-Born-Infeld gravity
We construct a new class of charged rotating solutions of -dimensional
Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the
presence of cosmological constant and investigate their properties. These
solutions are asymptotically (anti)-de Sitter and reduce to the solutions of
Einstein-Maxwell gravity as the Born-Infeld parameters goes to infinity. We
find that these solutions can represent black branes, with inner and outer
event horizons, an extreme black brane or a naked singularity provided the
parameters of the solutions are chosen suitably. We compute temperature, mass,
angular momentum, entropy, charge and electric potential of the black brane
solutions. We obtain a Smarr-type formula and show that these quantities
satisfy the first law of thermodynamics. We also perform a stability analysis
by computing the heat capacity and the determinant of Hessian matrix of mass
with respect to its thermodynamic variables in both the canonical and the
grand-canonical ensembles, and show that the system is thermally stable in the
whole phase space.Comment: 12 pages, one figur
Ricci flat rotating black branes with a conformally invariant Maxwell source
We consider Einstein gravity coupled to an gauge field for which the
density is given by a power of the Maxwell Lagrangian. In -dimensions the
action of Maxwell field is shown to enjoy the conformal invariance if the power
is chosen as . We present a class of charge rotating solutions in
Einstein-conformally invariant Maxwell gravity in the presence of a
cosmological constant. These solutions may be interpreted as black brane
solutions with inner and outer event horizons or an extreme black brane
depending on the value of the mass parameter. Since we are considering power of
the Maxwell density, the black brane solutions exist only for dimensions which
are multiples of four. We compute conserved and thermodynamics quantities of
the black brane solutions and show that the expression of the electric field
does not depend on the dimension. Also, we obtain a Smarr-type formula and show
that these conserved and thermodynamic quantities of black branes satisfy the
first law of thermodynamics. Finally, we study the phase behavior of the
rotating black branes and show that there is no Hawking--Page phase transition
in spite of conformally invariant Maxwell field.Comment: 13 pages, one figur