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51.
Kinetics of the nucleus growth during a deep temperature quench across the isotropic to nematic phase transition was experimentally investigated for a siloxane-azomethine polyether at cooling rates of 10 and 20°C min-1. Nematic droplets revealed in the optical images during the phase separation were treated statistically and the resulting statistical size distributions were described using the model of reversible aggregation. Analysis of the time-dependent distribution parameters allowed two processes involved in liquid crystal phase ordering to be identified: nucleus growth and nucleus coarsening. Both regimes are quantitatively described using the universal growth law. 相似文献
52.
We consider a D-dimensional self-gravitatingspherically symmetric configuration of a generalizedelectro-magnetic n-form F and a dilatonic scalar field,admitting an interpretation in terms of intersecting p-branes. For theories with additional(internal) times, selection rules are obtained, whichobstruct the existence of p-branes in certain subspaces.General static solutions are obtained under a specific restriction on the model parameters, whichcorresponds to certain orthogonality relations in thetarget-space of effective fields. More special familiesof solutions (with equal charges for some of the F-field components) are found with weakenedrestrictions on the input parameters. Black-holesolutions are determined, and it is shown that in theextreme limit the Hawking temperature may tend to zero, a finite value, or infinity, depending on thep-brane intersection dimension. A kind of no-hairtheorem is obtained, claiming that black holes cannotcoexist with a quasiscalar component of theF-field. 相似文献
53.
K. A. Bronnikov J. C. Fabris A. Zhidenko 《The European Physical Journal C - Particles and Fields》2011,71(11):1791
We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source.
We describe a general methodology of studying small radial perturbations of scalar-vacuum configurations with arbitrary potentials
V(ϕ), and in particular space-times with throats (including wormholes), which are possible if the scalar is phantom. At such
a throat, the effective potential for perturbations V
eff has a positive pole (a potential wall) that prevents a complete perturbation analysis. We show that, generically, (i) V
eff has precisely the form required for regularization by the known S-deformation method, and (ii) a solution with the regularized
potential leads to regular scalar field and metric perturbations of the initial configuration. The well-known conformal mappings
make these results also applicable to scalar-tensor and f(R) theories of gravity. As a particular example, we prove the instability of all static solutions with both normal and phantom
scalars and V(ϕ)≡0 under spherical perturbations. We thus confirm the previous results on the unstable nature of anti-Fisher wormholes and
Fisher’s singular solution and prove the instability of other branches of these solutions including the anti-Fisher “cold
black holes.” 相似文献
54.
55.
K. A. Bronnikov S. B. Fadeev A. V. Michtchenko 《General Relativity and Gravitation》2004,36(7):1527-1535
For a static, spherically symmetric brane in the framework of the RS2 concept, we study the conditions under which the 4D tensor E
v, arising from the 5D Weyl tensor, vanishes on the brane. Gravity on the brane is then decoupled from the bulk geometry, it is the so-called minimally coupled brane world (MCBW). Assuming E
v =0 in the whole bulk, we try to solve the 5D Einstein equations G
AB
+ 5gAB
=0 and obtain an overdetermined set of equations for functions of the radial coordinate. Some special solutions are found, among which are the well-known black string solution with the Schwarzschild metric on the brane and its generalizations with Schwarzschild–(A)dS on-brane metrics. It is concluded that a MCBW can be embedded, in general, in a bulk where Ev is not identically zero but only vanishes on the brane. We also present some previous results on the general properties of scalar fields on the brane and give an example of a wormhole supported by a scalar field in a MCBW. 相似文献
56.
Static sources of scalar, electromagnetic, and gravitational fields are considered within the theory of general relativity and within the class of scalar-tensor gravitation theories. From the conditions of regularity and nonnegativeness of matter density a number of limitations on the possible model parameters are obtained. An example of a regular model in general relativity is presented.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 51–56, October, 1977. 相似文献
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