ar X iv : c on d - m at / 0 40 30 64 v 1 1 M ar 2 00 4 The anisotropy of granular materials

ar X iv : g r - qc / 0 20 30 83 v 1 2 4 M ar 2 00 2 A Geometrical Anisotropic Model of Space - time Based on Finslerian Metric

In this work we study an anisotropic model of general relativity based on the framework of Finsler geometry. The observed anisotropy of the microwave background radiation [8] is incorporated in the Finslerian structure of space-time. We also examine the electromagnetic (e.m.) field equations in our space. As a result a modified wave equation of e.m. waves yields.

ar X iv : g r - qc / 0 30 30 64 v 1 1 8 M ar 2 00 3 Existence of initial data satisfying the constraints for the spherically symmetric Einstein - Vlasov - Maxwell system

Using ODE techniques we prove the existence of large classes of initial data satisfying the constraints for the spherically symmetric EinsteinVlasov-Maxwell system. These include data for which the ratio of total charge to total mass is arbitrarily large.

ar X iv : 0 80 4 . 40 12 v 1 [ m at h . D G ] 2 4 A pr 2 00 8 WHICH AMBIENT SPACES ADMIT

We give simple conditions on an ambient manifold that are necessary and sufficient for isoperimetric inequalities to hold.

ar X iv : c on d - m at / 0 30 35 00 v 1 2 4 M ar 2 00 3 From nonwetting to prewetting : the asymptotic behavior of 4 He drops on alkali substrates

We investigate the spreading of 4 He droplets on alkali surfaces at zero temperature, within the frame of Finite Range Density Functional theory. The equilibrium configurations of several 4 He N clusters and their asymptotic trend with increasing particle number N , which can be traced to the wetting behavior of the quantum fluid, are examined for nanoscopic droplets. We discuss the size effect...

ar X iv : m at h / 03 09 40 8 v 2 [ m at h . D G ] 1 2 Ju l 2 00 4 EINSTEIN METRICS ON SPHERES