95 research outputs found
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
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
Rotation Curves of Spiral Galaxies and Large Scale Structure of Universe under Generalized Einstein Action
We consider an addition of the term which is a square of the scalar curvature
to the Einstein-Hilbert action. Under this generalized action, we attempt to
explain i) the flat rotation curves observed in spiral galaxies, which is
usually attributed to the existence of dark matter, and ii) the contradicting
observations of uniform cosmic microwave background and non-uniform galaxy
distributions against redshift. For the former, we attain the flatness of
velocities, although the magnitudes remain about half of the observations. For
the latter, we obtain a solution with oscillating Hubble parameter under
uniform mass distributions. This solution leads to several peaks of galaxy
number counts as a function of redshift with the first peak corresponding to
the Great Wall.Comment: 16 page
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
Rotating Black Hole Entropy from Two Different Viewpoints
Using the brick-wall method, we study the entropy of Kerr-Newman black hole
from two different viewpoints, a rest observer at infinity and zero angular
momentum observer near horizon. We investigate this with scalar field in the
canonical quantization approach. An observer at infinity can take one of the
two possible frequency ranges; one is with positive frequencies only and the
other is with the whole range including negative frequencies. On the other
hand, a zero angular momentum observer near horizon can take positive
frequencies only. For the observer at infinity the superradiant modes appear in
either choice of the frequency ranges and the two results coincide. For the
zero angular momentum observer superradiant modes do not appear due to absence
of ergoregion. The resulting entropies from the two viewpoints turn out to be
the same.Comment: LaTeX 18 pages, 2 figures, Minor modifications in section 3(ZAMO
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