1,579 research outputs found
The isolation of gravitational instantons: Flat tori V flat R^4
The role of topology in the perturbative solution of the Euclidean Einstein
equations about flat instantons is examined.Comment: 15 pages, ICN-UNAM 94-1
Global embedding of D-dimensional black holes with a cosmological constant in Minkowskian spacetimes: Matching between Hawking temperature and Unruh temperature
We study the matching between the Hawking temperature of a large class of
static D-dimensional black holes and the Unruh temperature of the corresponding
higher dimensional Rindler spacetime. In order to accomplish this task we find
the global embedding of the D-dimensional black holes into a higher dimensional
Minkowskian spacetime, called the global embedding Minkowskian spacetime
procedure (GEMS procedure). These global embedding transformations are
important on their own, since they provide a powerful tool that simplifies the
study of black hole physics by working instead, but equivalently, in an
accelerated Rindler frame in a flat background geometry. We discuss neutral and
charged Tangherlini black holes with and without cosmological constant, and in
the negative cosmological constant case, we consider the three allowed
topologies for the horizons (spherical, cylindrical/toroidal and hyperbolic).Comment: 7 pages; ReVTeX
Dynamics of the Electro-Optic response of Blue Bronze
We have studied the charge density wave (CDW) repolarization dynamics in blue
bronze by applying square-wave voltages of different frequencies to the sample
and measuring the changes in infrared transmittance, proportional to CDW
strain. The frequency dependence of the electro-transmittance was fit to a
modified harmonic oscillator response and the evolution of the parameters as
functions of voltage, position, and temperature are discussed. Resonant
frequencies decrease with distance from the current contacts, indicating that
the resulting delays are intrinsic to the CDW with the strain effectively
flowing from the contact. For a fixed position, the average relaxation time has
a voltage dependence given by tau_0~V^-p, with 1<p<2. The temperature
dependence of the fitting parameters shows that the dynamics are governed by
both the force on the CDW and the CDW current: for a given force and position,
both the relaxation and delay times are inversely proportional to the CDW
current as temperature is varied. The long relaxation and delay times (~ 1 ms)
suggest that the strain response involves the motion of macroscopic objects,
presumably CDW phase dislocation lines.Comment: 36 pages, including 12 figures, submitted to Phys. Rev.
Double-slit interference pattern from single-slit screen and its gravitational analogues
The double slit experiment (DSE) is known as an important cornerstone in the
foundations of physical theories such as Quantum Mechanics and Special
Relativity. A large number of different variants of it were designed and
performed over the years. We perform and discuss here a new verion with the
somewhat unexpected results of obtaining interference pattern from single-slit
screen. This outcome, which shows that the routes of the photons through the
array were changed, leads one to discuss it, using the equivalence principle,
in terms of geodesics mechanics. We show using either the Brill's version of
the canonical formulation of general relativity or the linearized version of it
that one may find corresponding and analogous situations in the framework of
general relativity.Comment: 51 pages, 12 Figures five of them contain two subfigures and thus the
number of figures is 17, 1 Table. Some minor changes introduced, especially,
in the reference
Particle Production and Positive Energy Theorems for Charged Black Holes in deSitter
We study quantum mechanical and classical stability properties of
Reissner-Nordstrom deSitter spacetimes, which describe black holes with mass
and charge in a background with cosmological constant .
There are two sources of particle production in these spacetimes; the black
hole horizon and the cosmological horizon. A scattering calculation is done to
compute the Hawking radiation in these spacetimes. We find that the flux from
the black hole horizon equals the flux from the cosmological horizon, if and
only if , indicating that this is a state of thermodynamic equilibrium.
The spectrum, however, is not thermal. We also show that spacetimes containing
a number of charge equal to mass black holes with , have
supercovariantly constant spinors, suggesting that they may be minimum energy
states in a positive energy construction. As a first step in this direction, we
present a positive energy construction for asymptotically deSitter spacetimes
with vanishing charge. Because the construction depends only on a spatial
slice, our result also holds for spacetimes which are asymptotically
Robertson-Walker.Comment: 11 pages (1 figure not included), UMHEP-39
Vector Theory of Gravity
We proposed a gravitation theory based on an analogy with electrodynamics on
the basis of a vector field. For the first time, to calculate the basic
gravitational effects in the framework of a vector theory of gravity, we use a
Lagrangian written with gravitational radiation neglected and generalized to
the case of ultra-relativistic speeds. This allows us to accurately calculate
the values of all three major gravity experiments: the values of the perihelion
shift of Mercury, the light deflection angle in the gravity field of the Sun
and the value of radar echo delay. The calculated values coincide with the
observed ones. It is shown that, in this theory, there exists a model of an
expanding Universe.Comment: 9 page
The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
We examine the AdS/CFT correspondence when the gauge theory is considered on
a compactified space with supersymmetry breaking boundary conditions. We find
that the corresponding supergravity solution has a negative energy, in
agreement with the expected negative Casimir energy in the field theory.
Stability of the gauge theory would imply that this supergravity solution has
minimum energy among all solutions with the same boundary conditions. Hence we
are lead to conjecture a new positive energy theorem for asymptotically locally
Anti-de Sitter spacetimes. We show that the candidate minimum energy solution
is stable against all quadratic fluctuations of the metric.Comment: 25 pages, harvma
Einstein gravity as a 3D conformally invariant theory
We give an alternative description of the physical content of general
relativity that does not require a Lorentz invariant spacetime. Instead, we
find that gravity admits a dual description in terms of a theory where local
size is irrelevant. The dual theory is invariant under foliation preserving
3-diffeomorphisms and 3D conformal transformations that preserve the 3-volume
(for the spatially compact case). Locally, this symmetry is identical to that
of Horava-Lifshitz gravity in the high energy limit but our theory is
equivalent to Einstein gravity. Specifically, we find that the solutions of
general relativity, in a gauge where the spatial hypersurfaces have constant
mean extrinsic curvature, can be mapped to solutions of a particular gauge
fixing of the dual theory. Moreover, this duality is not accidental. We provide
a general geometric picture for our procedure that allows us to trade foliation
invariance for conformal invariance. The dual theory provides a new proposal
for the theory space of quantum gravity.Comment: 27 pages. Published version (minor changes and corrections
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