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- W1823903011 abstract "Chicone et al [Comm Math Phys (1997)] investigated existence of fast dynamos by analyzing the spectrum kinematic magnetic dynamo. In real non-degenerate branch of the spectrum, the kinematic dynamo operator lies on a compact Riemannian 2D space of constant negative curvature. Here, generalization of Marklund and Clarkson [MNRAS (2005)], general relativistic GR-MHD dynamo equation to include mean-field dynamos is obtained. In the absence of kinetic helicity, adiabatic constant $gamma={1/2}$ and gravitational colapse of negative Riemann curvature of spatial sections enhance dynamo effect $frac{{delta}B}{B}=2.6times 10^{-1}$. Critical time where linear dynamo effects breaks down de to curvature. At recombination time, COBE temperature anisotropies, implies that magnetic field growth rate is ${lambda}{approx{10}^{-9}yr^{-1}}$. This places a bound on curvature till the recombination magnetic field is amplified to present value of $B_{0}=10^{-9}G$, by dynamo action. At present epoch, negative curvature becomes constant and the Chicone et al result is shown to be valid in cosmology. Since negative curvature is non-constant, Hilbert theorem which forbiddes negative constant curvature surfaces embeddeding in $textbf{R}^{3}$ is bypassed." @default.
- W1823903011 created "2016-06-24" @default.
- W1823903011 creator A5027005740 @default.
- W1823903011 date "2010-02-10" @default.
- W1823903011 modified "2023-09-27" @default.
- W1823903011 title "Dynamo action at recombination epoch of open Friedmann universe spatial sections" @default.
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