Conformal Relativity versus Brans–Dicke and Superstring Theories

Entropy

David B. Blaschke¹ 

[1] Institute for Theoretical Physics, University of Wrocław, 50-204 Wrocław, Poland; E-Mail:

关键词: conformal relativity;    Brans–Dicke theory;    superstring theory;   

DOI  :  10.3390/e14101978

来源: mdpi

【 摘 要 】

We show how conformal relativity is related to Brans–Dicke theory and to low-energy-effective superstring theory. Conformal relativity or the Hoyle–Narlikar theory is invariant with respect to conformal transformations of the metric. We show that the conformal relativity action is equivalent to the transformed Brans–Dicke action for ω = −3/2 (which is the border between standard scalar field and ghost) in contrast to the reduced (graviton-dilaton) low-energy-effective superstring action which corresponds to the Brans–Dicke action with ω = −1. We show that like in ekpyrotic/cyclic models, the transition through the singularity in conformal cosmology in the string frame takes place in the weak coupling regime. We also find interesting self-duality and duality relations for the graviton-dilaton actions.

【 授权许可】

CC BY   
© 2012 by the authors; licensee MDPI, Basel, Switzerland.