32 research outputs found
de Broglie-Bohm Interpretatin for Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time
We discuss the implications of a wave function for quantum gravity, which
involves nothing but 3-dimensional geometries as arguments and is invariant
under general coordinate transformations. We derive an analytic wave function
from the Wheeler-DeWitt equation for spherically symmetric space-time with the
coordinate system arbitrary. The de Broglie-Bohm interpretation of quantum
mechanics is applied to the wave function. In this interpretation,
deterministic dynamics can be yielded from a wave function in fully quantum
regions as well as in semiclassical ones. By introducing a coordinate system
additionally, we obtain a cosmological black hole picture in compensation for
the loss of general covariance. Our analysis shows that the de Broglie-Bohm
interpretation gives quantum gravity an appropriate prescription to introduce
coordinate systems naturally and extract information from a wave function as a
result of breaking general covariance.Comment: 14 pages, REVTeX; abstract and content revise
Eigenvalue Problem of Scalar Fields in BTZ Black Hole Spacetime
We studied the eigenvalue problem of scalar fields in the (2+1)-dimensional
BTZ black hole spacetime. The Dirichlet boundary condition at infinity and the
Dirichlet or the Neumann boundary condition at the horizon are imposed.
Eigenvalues for normal modes are characterized by the principal quantum number
and the azimuthal quantum number . Effects to
eigenvalues of the black hole rotation and of the scalar field mass are studied
explicitly. Relation of the black hole rotation to the super-radiant
instability is discussed.Comment: 10 pages, 6 figure
Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism
Topological solutions in the (2+1)-dimensional Einstein theory of gravity are
studied within the ADM canonical formalism. It is found that a conical
singularity appears in the closed de Sitter universe solution as a topological
defect in the case of the Einstein theory with a cosmological constant. Quantum
effects on the conical singularity are studied using the de Broglie-Bohm
interpretation. Finite quantum tunneling effects are obtained for the closed de
Sitter universe, while no quantum effects are obtained for an open universe.Comment: 15 pages, 3 figure
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
Analytic Solutions of The Wheeler-DeWitt Equation in Spherically Symmetric Space-time
We study the quantum theory of the Einstein-Maxwell action with a
cosmological term in the spherically symmetric space-time, and explored quantum
black hole solutions in Reissner-Nordstrom-de Sitter geometry. We succeeded to
obtain analytic solutions to satisfy both the energy and momentum constraints.Comment: LaTeX file, 15 page