We study the geodesic deviation (GD) equation in a generalized version of Sáez–Ballester (SB) theory arbitrary dimensions. first establish general formalism and then restrict to particular cases, where (i) matter-energy distribution is that perfect fluid, (ii) spacetime geometry described by vanishing Weyl tensor. Furthermore, we consider spatially flat FLRW universe as background geometry. Bas...

In this article, we develop a framework to study the large deviation principle for matrix models and their quantized versions, by tilting measures using limits of spherical integrals obtained in [46,47]. As examples, obtain 1. empirical distribution diagonal entries $UB_NU^*$, sequence $N\times N$ matrices $B_N$ unitary Haar distributed $U$; 2. upper bound eigenvalue $A_N+UB_NU^*$, two sequence...