76 research outputs found
Canonical Theory of 2+1 Gravity
Recently 2+1 dimensional gravity theory, especially has been
studied extensively. It was shown to be equivalent to the 2+1 Chern-Simon
theory and has been investigated to understand the black hole thermodynamics,
i.e. Hawking temperature and others. The purpose of this report is to
investigate the canonical formalism of the original 2+1 Einstein gravity theory
instead of the Chern-Simon theory. For the spherically symmetric space-time,
local conserved quantities(local mass and angular momentum) are introduced and
using them canonical quantum theory is defined. Constraints are imposed on
state vectors and solved analytically. The strategy to obtain the solution is
followed by our previous work.Comment: 6 pages, talk given at LLWI-2000: From Particles to Universe,
Alberta, 20-26 February 200
Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime
Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime
are studied. Orthonormal relations among them are derived. Quantization for
scalar fields is done and particle number, energy and angular momentum are
expressed by the creation and annihilation operators. Allowed physical normal
mode region is studied on the basis of the no zero mode theorem. Its
implication to the statistical mechanics is also studied.Comment: 11 pages,v2 typos correcte
Generalized Area Law under Multi-parameter Rotating Black Hole Spacetime
We study the statistical mechanics for quantum scalar fields under the
multi-parameter rotating black hole spacetime in arbitrary D dimensions. The
method of analysis is general in the sense that the metric does not depend on
the explicit black hole solutions. The generalized Stefan-Boltzmann's law for
the scalar field is derived by considering the allowed energy region properly.
Then the generalized area law for the scalar field entropy is derived by
introducing the invariant regularization parameter in the Rindler spacetime.
The derived area law is applied to Kerr-AdS black holes in four and five
dimensions. Thermodynamic implication is also discussed.Comment: 27 pages, no figure
Classical and Quantum Solutions and the Problem of Time in Cosmology
We have studied various classical solutions in cosmology. Especially we
have obtained general classical solutions in pure \ cosmology. Even in the
quantum theory, we can solve the Wheeler-DeWitt equation in pure \
cosmology exactly. Comparing these classical and quantum solutions in \
cosmology, we have studied the problem of time in general relativity.Comment: 17 pages, latex, no figure, one reference is correcte
Quantum creation of an Inhomogeneous universe
In this paper we study a class of inhomogeneous cosmological models which is
a modified version of what is usually called the Lema\^itre-Tolman model. We
assume that we have a space with 2-dimensional locally homogeneous spacelike
surfaces. In addition we assume they are compact. Classically we investigate
both homogeneous and inhomogeneous spacetimes which this model describe. For
instance one is a quotient of the AdS space which resembles the BTZ black
hole in AdS.
Due to the complexity of the model we indicate a simpler model which can be
quantized easily. This model still has the feature that it is in general
inhomogeneous. How this model could describe a spontaneous creation of a
universe through a tunneling event is emphasized.Comment: 21 pages, 5 ps figures, REVTeX, new subsection include
de Broglie-Bohm Interpretation for the Wave Function of Quantum Black Holes
We study the quantum theory of the spherically symmetric black holes. The
theory yields the wave function inside the apparent horizon, where the role of
time and space coordinates is interchanged. The de Broglie-Bohm interpretation
is applied to the wave function and then the trajectory picture on the
minisuperspace is introduced in the quantum as well as the semi-classical
region. Around the horizon large quantum fluctuations on the trajectories of
metrics and appear in our model, where the metrics are functions of
time variable and are expressed as . On the trajectories, the classical relation holds,
and the event horizon U=0 corresponds to the classical apparent horizon on
. In order to investigate the quantum fluctuation near the horizon, we
study a null ray on the dBB trajectory and compare it with the one in the
classical black hole geometry.Comment: 20 pages, Latex, 7 Postscript figure
Scalar Field Contribution to Rotating Black Hole Entropy
Scalar field contribution to entropy is studied in arbitrary D dimensional
one parameter rotating spacetime by semiclassical method. By introducing the
zenithal angle dependent cutoff parameter, the generalized area law is derived.
The non-rotating limit can be taken smoothly and it yields known results. The
derived area law is then applied to the Banados-Teitelboim-Zanelli (BTZ) black
hole in (2+1) dimension and the Kerr-Newman black hole in (3+1) dimension. The
generalized area law is reconfirmed by the Euclidean path integral method for
the quantized scalar field. The scalar field mass contribution is discussed
briefly.Comment: 26 page
Scalar field dynamics in warped AdS_3 black hole background
We study the normal modes of a scalar field in the background of a warped
AdS_3 black hole which arises in topologically massive gravity. We discuss the
normal mode spectrum using the brick wall boundary condition. In addition, we
investigate the possibility of a more general boundary condition for the scalar
field.Comment: 7 pages, one figure, revtex4, refs. added and minor modifications in
tex
Normal mode analysis for scalar fields in BTZ black hole background
We analyze the possibility of inequivalent boundary conditions for a scalar
field propagating in the BTZ black hole space-time. We find that for certain
ranges of the black hole parameters, the Klein-Gordon operator admits a
one-parameter family of self-adjoint extensions. For this range, the BTZ
space-time is not quantum mechanically complete. We suggest a physically
motivated method for determining the spectra of the Klein-Gordon operator.Comment: 6 pages, no figure, late
Superradiant Phenomena for Spinor Fields in Rotating Black Hole Geometry
We derive the results (i) the ortho-normal and completeness relations for normal modes and (ii) non-existence of zero mode for spinor fields in rotating black hole geometry. From these results, we show that superradiant phenomena for spinor fields should be type 2: positive momentum on the horizon (pH > 0) and negative frequency at infinity (ω < 0)
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