| dc.description.abstract |
We investigate the spontaneous pair productions in the near horizon regions of
near extremal charged black holes,
and the corresponding mechanisms are Schwinger effect and Hawking radiation
due to the external electromagnetic fields and causal boundaries.
Firstly, we study the holographic dualities
for the near horizon geometries, which are
AdS$_2$ $ imes$ S$^2$ for Reissner-Nordstr＂om (RN) black hole and warped-AdS$_3=$ AdS$_2$ $ imes$ S$^1$ for Kerr-Newman (KN) black hole.
According to AdS/CFT correspondence,
there are corresponding dual $2$-dimensional conformal field theory (CFT$_2$) descriptions,
and will display individual pictures associated with the ＂hairs＂ (besides mass) carried by the charged black holes.
The holographic dualities for non-extremal black hole
are also investigated in low frequencies of the probe field.
For pair productions in the near extremal charged black holes, we
calculate the
physical quantities, i.e.,
mean number of production, vacuum persistence amplitude,
and absorption cross section, for both scalar and spinor cases
after imposing the outer boundary condition.
In particular, the mean number of production
has thermal interpretations and can be evaluated by the Hamilton-Jacobi approaches,
in which the contributions of production rate can
be expressed in two parts, one is Schwinger effect in the AdS space,
and the other is the same effect in the Rindler space.
Moreover, the production rate and the absorption cross section also have dual CFT$_2$ descriptions based on the holographic dualities of charged black holes. | en_US |