Nonmetricity and torsion induced by dilaton gravity in two dimension

Details Nonmetricity and torsion induced by dilaton gravity in two dimension Nonmetricity and torsion induced by dilaton gravity in two dimension

2005-09-02

arxiv.org/abs/gr-qc/0509010v3

Gen.Rel.Grav. 38 (2006) 971-980

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Added references, Accepted for publication in GRG

Scientific paper

10.1007/s10714-006-0298-x

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.

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