9,780 research outputs found
Thermodynamics of static dyonic AdS black holes in the -deformed Kaluza-Klein gauged supergravity theory
We study thermodynamical properties of static dyonic AdS black holes in
four-dimensional -deformed Kaluza-Klein gauged supergravity theory, and
find that the differential first law requires a modification via introducing a
new pair of thermodynamical conjugate variables (X, Y). To ensure such a
modification, we then apply the quasi-local ADT formalism developed in Ref.
[20] to calculate the quasi-local conserved charge and identify that the new
pair is precisely the one previously introduced to modify the differential form
of first law.Comment: 13 pages, no figure, elsarticle.cls, updated version to match with
the published pape
Depth of pleated surfaces in toroidal cusps of hyperbolic 3-manifolds
Let be a closed essential surface in a hyperbolic 3-manifold with a
toroidal cusp . The depth of in is the maximal distance from points
of in to the boundary of . It will be shown that if is an
essential pleated surface which is not coannular to the boundary torus of
then the depth of in is bounded above by a constant depending only on
the genus of . The result is used to show that an immersed closed essential
surface in which is not coannular to the torus boundary components of
will remain essential in the Dehn filling manifold after excluding
curves from each torus boundary component of , where is a
constant depending only on the genus of the surface
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