Authors: Sergiu I Vacaru
Publish Date: 2009/03/11
Volume: 48, Issue: 7, Pages: 1973-1999
Abstract
We argue that the Einstein gravity theory can be reformulated in almost Kähler nonsymmetric variables with effective symplectic form and compatible linear connection uniquely defined by a pseudo Riemannian metric A class of nonsymmetric theories of gravitation on manifolds enabled with nonholonomic distributions is considered We prove that for certain types of nonholonomic constraints there are modelled effective Lagrangians which do not develop instabilities It is also elaborated a linearization formalism for anholonomic noncommutative gravity theories models and analyzed the stability of stationary ellipsoidal solutions defining some nonholonomic and/or nonsymmetric deformations of the Schwarzschild metric We show how to construct nonholonomic distributions which remove instabilities in nonsymmetric gravity theories It is concluded that instabilities do not consist a general feature of theories of gravity with nonsymmetric metrics but a particular property of some models and/or unconstrained solutions
Keywords: