9,475 research outputs found
Dilaton-Axion hair for slowly rotating Kerr black holes
Campbell et al. demonstrated the existence of axion ``hair'' for Kerr black
holes due to the non-trivial Lorentz Chern-Simons term and calculated it
explicitly for the case of slow rotation. Here we consider the dilaton coupling
to the axion field strength, consistent with low energy string theory and
calculate the dilaton ``hair'' arising from this specific axion source.Comment: 13 pages + 1 fi
The crucial importance of the -- hybridization in transition metal oxides
We studied the influence of the trigonal distortion of the regular octahedron
along the (111) direction, found in the layers. Under such a
distortion the orbitals split into one and two degenerated
orbitals. We focused on the relative order of these orbitals.
Using quantum chemical calculations of embedded clusters at different levels of
theory, we analyzed the influence of the different effects not taken into
account in the crystalline field theory; that is metal-ligand hybridization,
long-range crystalline field, screening effects and orbital relaxation. We
found that none of them are responsible for the relative order of the
orbitals. In fact, the trigonal distortion allows a mixing of the and
orbitals of the metallic atom. This hybridization is at the origin of the
-- relative order and of the incorrect prediction of the
crystalline field theory
From Newton's Laws to the Wheeler-DeWitt Equation
This is a pedagogical paper which explains some ideas in cosmology at a level
accessible to undergraduate students. It does not use general relativity, but
uses the ideas of Newtonian cosmology worked out by Milne and McCrea. The
cosmological constant is also introduced within a Newtonian framework.
Following standard quantization procedures the Wheeler-DeWitt equation in the
minisuperspace approximation is derived for empty and non-empty universes.Comment: 13 pages, 1 figur
Soft breaking of symmetry: Light neutrino spectrum and Leptogenesis
Continuous symmetry can generate quasi degenerate mass
spectrum for both left handed light and right handed heavy Majorana neutrinos
assuming that the symmetry preserving non zero parameters are nearly same.
There is an accidental exchange symmetry in the light and heavy
neutrino Majorana mass terms. This implies and
. In addition it generates another zero mixing angle
and one zero mass difference. We restrict ourselves to type-I See-Saw mechanism
for generation of light neutrino mass. We have found that under
symmetry cosmological lepton asymmetry vanishes. We break
such a way that the exchange symmetry preserves
in the neutrino sector. We have seen that light neutrino phenomenology can be
explained under soft breaking of this symmetry. We have observed that softness
of this symmetry breaking depends on the degeneracy of the light neutrino mass
spectrum. Quasi-degeneracy of right handed neutrino mass spectrum opens an
option for resonant leptogenesis. The degeneracy of the right handed neutrino
mass spectrum is restricted through light neutrino data. We observed that for
generation of right sized baryon asymmetry common neutrino mass scale
have to be of the order of and corresponding
right handed neutrino mass scale have to be nearly GeV. We also have
discussed the effect of RG evolution on light neutrino spectrum and also on
baryon asymmetry.Comment: 21 pages, no figure, Revised with the comments on RG effec
The Wahlquist metric cannot describe an isolated rotating body
It is proven that the Wahlquist perfect fluid space-time cannot be smoothly
joined to an exterior asymptotically flat vacuum region. The proof uses a power
series expansion in the angular velocity, to a precision of the second order.
In this approximation, the Wahlquist metric is a special case of the rotating
Whittaker space-time. The exterior vacuum domain is treated in a like manner.
We compute the conditions of matching at the possible boundary surface in both
the interior and the vacuum domain. The conditions for matching the induced
metrics and the extrinsic curvatures are mutually contradictory.Comment: 13 pages, 0 figure
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