4,313 research outputs found
General Relativity, the Cosmological Constant and Modular Forms
Strong field (exact) solutions of the gravitational field equations of
General Relativity in the presence of a Cosmological Constant are investigated.
In particular, a full exact solution is derived within the inhomogeneous
Szekeres-Szafron family of space-time line element with a nonzero Cosmological
Constant. The resulting solution connects, in an intrinsic way, General
Relativity with the theory of modular forms and elliptic curves. The
homogeneous FLRW limit of the above space-time elements is recovered and we
solve exactly the resulting Friedmann Robertson field equation with the
appropriate matter density for generic values of the Cosmological Constant
%Lambda and curvature constant K. A formal expression for the Hubble constant
is derived. The cosmological implications of the resulting non-linear solutions
are systematically investigated. Two particularly interesting solutions i) the
case of a flat universe K=0, Lambda not= 0 and ii) a case with all three
cosmological parameters non-zero, are described by elliptic curves with the
property of complex multiplication and absolute modular invariant j=0 and 1728,
respectively. The possibility that all non-linear solutions of General
Relativity are expressed in terms of theta functions associated with
Riemann-surfaces is discussed.Comment: LaTeX file, 34 pages plus 9 EPS figures, Accepted for Publication in
Classical and Quantum Gravit
Quasi-uniformity of Minimal Weighted Energy Points on Compact Metric Spaces
For a closed subset of a compact metric space possessing an
-regular measure with , we prove that whenever
, any sequence of weighted minimal Riesz -energy configurations
on (for `nice' weights) is
quasi-uniform in the sense that the ratios of its mesh norm to separation
distance remain bounded as grows large. Furthermore, if is an
-rectifiable compact subset of Euclidean space ( an integer)
with positive and finite -dimensional Hausdorff measure, it is possible
to generate such a quasi-uniform sequence of configurations that also has (as
) a prescribed positive continuous limit distribution with respect
to -dimensional Hausdorff measure. As a consequence of our energy
related results for the unweighted case, we deduce that if is a compact
manifold without boundary, then there exists a sequence of -point
best-packing configurations on whose mesh-separation ratios have limit
superior (as ) at most 2
Finanzjournalismus im Spannungsfeld von Fachwissen, Stories und Finanzliteralität
Fachwissen, Stories und Finanzliteralität – Wie hängen sie zusammen und was bedeuten sie für Gesellschaft und Finanzjournalisten? Für die vorliegende Studie wurden Finanzjournalisten auf dem Platz Zürich dazu befragt. Die Ergebnisse liefern einerseits den Verantwortlichen von Fachmedien Anhaltspunkte für mögliche Reflexion, Strategien und Massnahmen in der Praxis. Die Resultate zeigen Bildungsinstitutionen anderseits, was es noch braucht, damit eine breite Leserschaft die Sprache der Zahlen versteht
Interactions between KSHV ORF57 and the novel human TREX proteins, CHTOP and CIP29
The coupling of mRNA processing steps is essential for precise and efficient gene expression. The human transcription/export (hTREX) complex is a highly conserved multi-protein complex responsible for eukaryotic mRNA stability and nuclear export. We have previously shown that the Kaposi's sarcoma-associated ORF57 protein orchestrates the recruitment of the hTREX complex onto viral intronless mRNA forming a stable and export competent viral ribonucleoprotein particle (vRNP). Recently, additional cellular proteins, namely CHTOP, CIP29 and POLDIP3 have been proposed as novel hTREX components. Herein we extend our previous research and provide evidence that ORF57 interacts with CHTOP and CIP29, in contrast to POLDIP3. Moreover, depletion studies show both CHTOP and CIP29 effect ORF57-mediated viral mRNA processing. As such, these results suggest both CHTOP and CIP29 are hTREX components and are recruited to an ORF57-mediated vRNP
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