Nonmetricity and torsion induced by dilaton gravity in two dimension
نویسنده
چکیده
We develop a theory in which there are couplings amongst Dirac spinor, dilaton and non-Riemannian gravity and explore the nature of connection-induced dilaton couplings to gravity and Dirac spinor when the theory is reformulated in terms of the Levi-Civita connection. After presenting some exact solutions without spinors, we investigate the minimal spinor couplings to the model and in conclusion we can not find any nontrivial dilaton couplings to spinor. M Adak Nonmetricity and torsion induced by dilaton gravity in two dimension
منابع مشابه
Nonlinear Connections and Exact Solutions in Einstein and Extra Dimension Gravity
We outline a new geometric method of constructing exact solutions of gravitational field equations parametrized by generic off–diagonal metrics, anholonomic frames and possessing, in general, nontrivial torsion and nonmetricity. The formalism of nonlinear connections is elaborated for (pseudo) Riemannian and Einstein–Cartan–Weyl spaces.
متن کاملA Solution to Symmetric Teleparallel Gravity
Teleparallel gravity models, in which the curvature and the nonmetricity of spacetime are both set zero, are widely studied in the literature. We work a different teleparallel theory, in which the curvature and the torsion of spacetime are both constrained to zero, but the nonmetricity is nonzero. After reformulating the general relativity in this spacetime we find a solution and investigate it...
متن کاملOn the inflationary solutions in higher - derivative gravity with dilaton field
We discuss the existence of de Sitter inflationary solutions for the string-inspired fourth-derivative gravity theories with dilaton field. We consider a space-time of arbitrary dimension D and an arbitrary parametrization of the target space metric. The specific features of the theory in dimension D = 4 and those of the special ghost-free parametrization of the metric are found. We also consid...
متن کاملMaxwell’s theory on a post-Riemannian spacetime and the equivalence principle
The form of Maxwell’s theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if torsion and/or nonmetricity fields are allowed for in spacetime. Starting from the conservation laws of electric charge and magnetic flux, we recognize that t...
متن کاملobjects, metric g and connection Γ, are linked through the requirement of
In this paper we propose a new geometric interpretation for General Relativity (GR). It has always been presumed that the gravitational field is described in GR by a Levi-Civita connection. We suggest that this may not necessarily be the case. We show that in the presence of an arbitrary affine connection, the gravitational field is described as nonmetricity of the affine connection. An affine ...
متن کامل