1,710 research outputs found
Lukewarm black holes in quadratic gravity
Perturbative solutions to the fourth-order gravity describing
spherically-symmetric, static and electrically charged black hole in an
asymptotically de Sitter universe is constructed and discussed. Special
emphasis is put on the lukewarm configurations, in which the temperature of the
event horizon equals the temperature of the cosmological horizon
General U(N) gauge transformations in the realm of covariant Hamiltonian field theory
A consistent, local coordinate formulation of covariant Hamiltonian field
theory is presented. While the covariant canonical field equations are
equivalent to the Euler-Lagrange field equations, the covariant canonical
transformation theory offers more general means for defining mappings that
preserve the action functional - and hence the form of the field equations -
than the usual Lagrangian description. Similar to the well-known canonical
transformation theory of point dynamics, the canonical transformation rules for
fields are derived from generating functions. As an interesting example, we
work out the generating function of type F_2 of a general local U(N) gauge
transformation and thus derive the most general form of a Hamiltonian density
that is form-invariant under local U(N) gauge transformations.Comment: 36 pages, Symposium on Exciting Physics: Quarks and gluons/atomic
nuclei/biological systems/networks, Makutsi Safari Farm, South Africa, 13-20
November 2011; Exciting Interdisciplinary Physics, Walter Greiner, Ed., FIAS
Interdisciplinary Science Series, Springer International Publishing
Switzerland, 201
New Models of General Relativistic Static Thick Disks
New families of exact general relativistic thick disks are constructed using
the ``displace, cut, fill and reflect'' method. A class of functions used to
``fill'' the disks is derived imposing conditions on the first and second
derivatives to generate physically acceptable disks. The analysis of the
function's curvature further restrict the ranges of the free parameters that
allow phisically acceptable disks. Then this class of functions together with
the Schwarzschild metric is employed to construct thick disks in isotropic,
Weyl and Schwarzschild canonical coordinates. In these last coordinates an
additional function must be added to one of the metric coefficients to generate
exact disks. Disks in isotropic and Weyl coordinates satisfy all energy
conditions, but those in Schwarzschild canonical coordinates do not satisfy the
dominant energy condition.Comment: 27 pages, 14 figure
Improved Method for Detecting Local Discontinuities in CMB data by Finite Differencing
An unexpected distribution of temperatures in the CMB could be a sign of new
physics. In particular, the existence of cosmic defects could be indicated by
temperature discontinuities via the Kaiser-Stebbins effect. In this paper, we
show how performing finite differences on a CMB map, with the noise regularized
in harmonic space, may expose such discontinuities, and we report the results
of this process on the 7-year Wilkinson Microwave Anisotropy Probe data.Comment: 5 pages, 6 figures; Text has been edited, in line with the PRD
articl
Maximal acceleration or maximal accelerations?
We review the arguments supporting the existence of a maximal acceleration
for a massive particle and show that different values of this upper limit can
be predicted in different physical situations.Comment: 13 pages, Latex, to be published in Int. J. Mod. Phys.
Periodic and discrete Zak bases
Weyl's displacement operators for position and momentum commute if the
product of the elementary displacements equals Planck's constant. Then, their
common eigenstates constitute the Zak basis, each state specified by two phase
parameters. Upon enforcing a periodic dependence on the phases, one gets a
one-to-one mapping of the Hilbert space on the line onto the Hilbert space on
the torus. The Fourier coefficients of the periodic Zak bases make up the
discrete Zak bases. The two bases are mutually unbiased. We study these bases
in detail, including a brief discussion of their relation to Aharonov's modular
operators, and mention how they can be used to associate with the single degree
of freedom of the line a pair of genuine qubits.Comment: 15 pages, 3 figures; displayed abstract is shortened, see the paper
for the complete abstrac
Thermodynamic of Distorted Reissner-Nordstr\"om Black Holes in Five-dimensions
In this paper, we study mechanics and thermodynamics of distorted,
five-dimensional, electrically charged (non-extremal) black holes on the
example of a static and "axisymmetric" black hole distorted by external,
electrically neutral matter. Such a black hole is represented by the derived
here solution of the Einstein-Maxwell equations which admits an
isometry group. We study the properties of
this distorted black hole.Comment: 7 pages, submitted for the proceedings of the First Karl
Schwarzschild Meeting (Frankfurt, 2013
A double-slit `which-way' experiment on the complementarity--uncertainty debate
A which-way measurement in Young's double-slit will destroy the interference
pattern. Bohr claimed this complementarity between wave- and particle behaviour
is enforced by Heisenberg's uncertainty principle: distinguishing two positions
a distance s apart transfers a random momentum q \sim \hbar/s to the particle.
This claim has been subject to debate: Scully et al. asserted that in some
situations interference can be destroyed with no momentum transfer, while
Storey et al. asserted that Bohr's stance is always valid. We address this
issue using the experimental technique of weak measurement. We measure a
distribution for q that spreads well beyond [-\hbar/s, \hbar/s], but
nevertheless has a variance consistent with zero. This weakvalued
momentum-transfer distribution P_{wv}(q) thus reflects both sides of the
debate.Comment: 13 pages, 4 figure
The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge
A general analytic procedure is developed for the post-Newtonian limit of
-gravity with metric approach in the Jordan frame by using the harmonic
gauge condition. In a pure perturbative framework and by using the Green
function method a general scheme of solutions up to order is shown.
Considering the Taylor expansion of a generic function it is possible to
parameterize the solutions by derivatives of . At Newtonian order,
, all more important topics about the Gauss and Birkhoff theorem are
discussed. The corrections to "standard" gravitational potential
(-component of metric tensor) generated by an extended uniform mass
ball-like source are calculated up to order. The corrections, Yukawa
and oscillating-like, are found inside and outside the mass distribution. At
last when the limit is considered the -gravity converges
in General Relativity at level of Lagrangian, field equations and their
solutions.Comment: 16 pages, 10 figure
Matrix Gravity and Massive Colored Gravitons
We formulate a theory of gravity with a matrix-valued complex vierbein based
on the SL(2N,C)xSL(2N,C) gauge symmetry. The theory is metric independent, and
before symmetry breaking all fields are massless. The symmetry is broken
spontaneously and all gravitons corresponding to the broken generators acquire
masses. If the symmetry is broken to SL(2,C) then the spectrum would correspond
to one massless graviton coupled to massive gravitons. A novel
feature is the way the fields corresponding to non-compact generators acquire
kinetic energies with correct signs. Equally surprising is the way Yang-Mills
gauge fields acquire their correct kinetic energies through the coupling to the
non-dynamical antisymmetric components of the vierbeins.Comment: One reference adde
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