5,876 research outputs found
Some notes on the Kruskal - Szekeres completion
The Kruskal - Szekeres (KS) completion of the Schwarzschild spacetime is open
to Synge's methodological criticism that the KS procedure generates "good"
coordinates from "bad". This is addressed here in two ways: First I generate
the KS coordinates from Israel coordinates, which are also "good", and then I
generate the KS coordinates directly from a streamlined integration of the
Einstein equations.Comment: One typo correcte
Oscillating Fracture in Rubber
We have found an oscillating instability of fast-running cracks in thin
rubber sheets. A well-defined transition from straight to oscillating cracks
occurs as the amount of biaxial strain increases. Measurements of the amplitude
and wavelength of the oscillation near the onset of this instability indicate
that the instability is a Hopf bifurcation
Evolution of antiferromagnetic domains in the all-in-all-out ordered pyrochlore NdZrO
We report the observation of magnetic domains in the exotic,
antiferromagnetically ordered all-in-all-out state of NdZrO,
induced by spin canting. The all-in-all-out state can be realized by Ising-like
spins on a pyrochlore lattice and is established in NdZrO below
0.31 K for external magnetic fields up to 0.14 T. Two different spin
arrangements can fulfill this configuration which leads to the possibility of
magnetic domains. The all-in-all-out domain structure can be controlled by an
external magnetic field applied parallel to the [111] direction. This is a
result of different spin canting mechanism for the two all-in-all-out
configurations for such a direction of the magnetic field. The change of the
domain structure is observed through a hysteresis in the magnetic
susceptibility. No hysteresis occurs, however, in case the external magnetic
field is applied along [100].Comment: Accepted for publication in Phys. Rev. B, 6 pages, 6 figure
Problems with Modified Commutators
The purpose of this paper is to challenge the existing paradigm on which
contemporary models of generalised uncertainty relations (GURs) are based, that
is, the assumption of modified commutation relations. We review an array of
theoretical problems that arise in modified commutator models, including those
that have been discussed in depth and others that have received comparatively
little attention, or have not been considered at all in the existing
literature, with the aim of stimulating discussion on these topics. We then
show how an apparently simple assumption can solve, or, more precisely, evade
these issues, by generating GURs without modifying the basic form of the
canonical Heisenberg algebra. This simplicity is deceptive, however, as the
necessary assumption is found to have huge implications for the quantisation of
space-time and, therefore, gravity. These include the view that quantum
space-time should be considered as a quantum reference frame (QRF) and,
crucially, that the action scale characterising the quantum effects of gravity,
, must be many orders of magnitude smaller than Planck's constant,
, in order to recover the present day dark
energy density. We argue that these proposals should be taken seriously, as a
potential solution to the pathologies that plague minimum length models based
on modified commutators, and that their implications should be explored as
thoroughly as those of the existing paradigm, which has dominated research in
this area for almost three decades.Comment: 23 pages, no tables, no figure
An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion
We present an exact solution to the Einstein field equations which is Ricci
and Riemann flat in five dimensions, but in four dimensions is a good model for
the early vacuum-dominated universe.Comment: 6 pages; to appear in Journal of Mathematical Physics; v2: reference
3 correcte
The flatness problem and
By way of a complete integration of the Friedmann equations, in terms of
observables, it is shown that for the cosmological constant there
exist non-flat FLRW models for which the total density parameter
remains throughout the entire history of the universe. Further, it is
shown that in a precise quantitative sense these models are not finely tuned.
When observations are brought to bear on the theory, and in particular the WMAP
observations, they confirm that we live in just such a universe. The conclusion
holds when the classical notion of is extended to dark energy.Comment: Final form to appear in Physical Review Letters. Further information
at http://grtensor.org/Robertson
Observation of long range magnetic ordering in pyrohafnate Nd2Hf2O7: A neutron diffraction study
We have investigated the physical properties of a pyrochlore hafnate Nd2Hf2O7
using ac magnetic susceptibility \chi_ac(T), dc magnetic susceptibility
\chi(T), isothermal magnetization M(H) and heat capacity C_p(T) measurements,
and determined the magnetic ground state by neutron powder diffraction study.
An upturn is observed below 6 K in C_p(T)/T, however both C_p(T) and \chi(T) do
not show any clear anomaly down to 2 K. The \chi_ac(T) shows a well pronounced
anomaly indicating an antiferromagnetic transition at T_N = 0.55 K. The long
range antiferromagnetic ordering is confirmed by neutron diffraction. The
refinement of neutron diffraction pattern reveals an all-in/all-out
antiferromagnetic structure, where for successive tetrahedra, the four Nd3+
magnetic moments point alternatively all-into or all-out-of the tetrahedron,
with an ordering wavevector k = (0, 0, 0) and an ordered state magnetic moment
of m = 0.62(1) \mu_B/Nd at 0.1 K. The ordered moment is strongly reduced
reflecting strong quantum fluctuations in ordered state.Comment: 10 pages, 9 figures and 2 tables; to appear in Phys. Rev.
Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
For quasi-one dimensional quantum spin systems theory predicts the occurrence
of a confinement of spinon excitation due to interchain couplings. Here we
investigate the system SrCo2V2O8, a realization of the weakly-coupled
Ising-like XXZ antiferromagnetic chains, by terahertz spectroscopy with and
without applied magnetic field. At low temperatures a series of excitations is
observed, which split in a Zeeman-like fashion in an applied magnetic field.
These magnetic excitations are identified as the theoretically predicted
spinon-pair excitations. Using a one dimensional Schr\"odinger equation with a
linear confinement potential imposed by weak interchain couplings, the
hierarchy of the confined spinons can be fully described.Comment: 4 pages, 3 figure
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