Shear Dynamics in Higher Dimensional FLRW Cosmology

Abstract

We study the shear dynamics of higher dimensional Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) cosmology by considering a non-perfect fluid which exerts different pressure in the normal and extra dimensions. We generalise the definition of shear tensor for higher dimensional space-time and prove it to be consistent with the evolution equation for shear tensor obtained from the Ricci identities. The evolution of shear tensor is investigated numerically. The role of extra dimensions and other parameters involved in shear dynamics is discussed in detail. We find that with increase in anisotropy parameter, time of decay of shear increases while with increase in number of extra dimensions, shear tends to decay early.Comment: 8 pages, 3 figures, comments welcom