Non-metricity induced by dilaton gravity in two dimensions

Dereli, Tekin and Tucker, Robin (1994) Non-metricity induced by dilaton gravity in two dimensions. Classical and Quantum Gravity, 11 (10). pp. 2575-2583. ISSN 0264-9381

Abstract

We discuss how theories of dilaton gravity can be constructed in terms of a torsion-free but non-metric-compatible connection and explore the nature of connection-induced dilaton couplings to gravity when the theory is reformulated in terms of the Levi-Civita connection. Exact classical solutions are presented in the context of a string-inspired dilaton model in two dimensions.