5 research outputs found
Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces
We calculate corrections to the Bekenstein-Hawking entropy formula for the
five-dimensional topological AdS (TAdS)-black holes and topological de Sitter
(TdS) spaces due to thermal fluctuations. We can derive all thermal properties
of the TdS spaces from those of the TAdS black holes by replacing by .
Also we obtain the same correction to the Cardy-Verlinde formula for TAdS and
TdS cases including the cosmological horizon of the Schwarzschild-de Sitter
(SdS) black hole. Finally we discuss the AdS/CFT and dS/CFT correspondences and
their dynamic correspondences.Comment: 9 pages, version to appear in PL
Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
We study whether the Hawking-Page phase transition may occur in topological
de Sitter spaces (TdS) and Schwarzschild-de Sitter black hole (SdS).
We show that at the critical temperature , TdS with hyperbolic
cosmological horizon can make the
Hawking-Page transition from the zero mass de Sitter space to TdS. It is also
shown that there is no Hawking-Page transition for TdS with Ricci-flat and
spherical horizons, when the zero mass de Sitter space is taken as the thermal
background. Also we find that the SdS undergoes a different phase transition at
T=0 which the Nariai black hole is formed. Finally we connect our results to
the dS/CFT correspondence.Comment: 17 pages, 9 eps figures, title slightly changed version to appear in
PL
Relationship between five-dimensional black holes and de Sitter spaces
We study a close relationship between the topological anti-de Sitter
(TAdS)-black holes and topological de Sitter (TdS) spaces including the
Schwarzschild-de Sitter (SdS) black hole in five-dimensions. We show that all
thermal properties of the TdS spaces can be found from those of the TAdS black
holes by replacing by . Also we find that all thermal information for
the cosmological horizon of the SdS black hole is obtained from either the
hyperbolic-AdS black hole or the Schwarzschild-TdS space by substituting
with . For this purpose we calculate thermal quantities of bulk,
(Euclidean) conformal field theory (ECFT) and moving domain wall by using the
A(dS)/(E)CFT correspondences. Further we compute logarithmic corrections to the
Bekenstein-Hawking entropy, Cardy-Verlinde formula and Friedmann equation due
to thermal fluctuations. It implies that the cosmological horizon of the TdS
spaces is nothing but the event horizon of the TAdS black holes and the dS/ECFT
correspondence is valid for the TdS spaces in conjunction with the AdS/CFT
correspondence for the TAdS black holes.Comment: 17 page
Dynamical Behavior of dilaton in de Sitter space
We study the dynamical behavior of the dilaton in the background of
three-dimensional Kerr-de Sitter space which is inspired from the low-energy
string effective action. The perturbation analysis around the cosmological
horizon of Kerr-de Sitter space reveals a mixing between the dilaton and other
fields. Introducing a gauge (dilaton gauge), we can disentangle this mixing
completely and obtain one decoupled dilaton equation. However it turns out that
this belongs to the tachyon. The stability of de Sitter solution with J=0 is
discussed. Finally we compute the dilaton absorption cross section to extract
information on the cosmological horizon of de Sitter space.Comment: 11 pages, reference added and a version to appear in PL
No absorption in de Sitter space
We study the wave equation for a minimally coupled massive scalar in
D-dimensional de Sitter space. We compute the absorption cross section to
investigate its cosmological horizon in the southern diamond. By analogy of the
quantum mechanics, it is found that there is no absorption in de Sitter space.
This means that de Sitter space is usually in thermal equilibrium, like the
black hole in anti de Sitter space. It confirms that the cosmological horizon
not only emits radiation but also absorbs that previously emitted by itself at
the same rate, keeping the curvature radius of de Sitter space fixed.Comment: 11 pages, REVTE