6 research outputs found
Asymptotically AdS Magnetic Branes in (n+1)-dimensional Dilaton Gravity
We present a new class of asymptotically AdS magnetic solutions in
()-dimensional dilaton gravity in the presence of an appropriate
combination of three Liouville-type potentials. This class of solutions is
asymptotically AdS in six and higher dimensions and yields a spacetime with
longitudinal magnetic field generated by a static brane. These solutions have
no curvature singularity and no horizons but have a conic geometry with a
deficit angle. We find that the brane tension depends on the dilaton field and
approaches a constant as the coupling constant of dilaton field goes to
infinity. We generalize this class of solutions to the case of spinning
magnetic solutions and find that, when one or more rotation parameters are
nonzero, the brane has a net electric charge which is proportional to the
magnitude of the rotation parameters. Finally, we use the counterterm method
inspired by AdS/CFT correspondence and compute the conserved quantities of
these spacetimes. We found that the conserved quantities do not depend on the
dilaton field, which is evident from the fact that the dilaton field vanishes
on the boundary at infinity.Comment: 15 page
Magnetic Branes in Gauss-Bonnet Gravity
We present two new classes of magnetic brane solutions in
Einstein-Maxwell-Gauss-Bonnet gravity with a negative cosmological constant.
The first class of solutions yields an -dimensional spacetime with a
longitudinal magnetic field generated by a static magnetic brane. We also
generalize this solution to the case of spinning magnetic branes with one or
more rotation parameters. We find that these solutions have no curvature
singularity and no horizons, but have a conic geometry. In these spacetimes,
when all the rotation parameters are zero, the electric field vanishes, and
therefore the brane has no net electric charge. For the spinning brane, when
one or more rotation parameters are non zero, the brane has a net electric
charge which is proportional to the magnitude of the rotation parameter. The
second class of solutions yields a spacetime with an angular magnetic field.
These solutions have no curvature singularity, no horizon, and no conical
singularity. Again we find that the net electric charge of the branes in these
spacetimes is proportional to the magnitude of the velocity of the brane.
Finally, we use the counterterm method in the Gauss-Bonnet gravity and compute
the conserved quantities of these spacetimes.Comment: 17 pages, No figure, The version to be published in Phys. Rev.