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Conformal Relativity versus Brans–Dicke and Superstring Theories

Institute for Theoretical Physics, University of Wrocław, 50-204 Wrocław, Poland
Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland
Copernicus Center for Interdisciplinary Studies, Sławkowska 17, 31-016 Kraków, Poland
Author to whom correspondence should be addressed.
Entropy 2012, 14(10), 1978-1996;
Received: 20 August 2012 / Revised: 23 September 2012 / Accepted: 27 September 2012 / Published: 18 October 2012
(This article belongs to the Special Issue Modified Gravity: From Black Holes Entropy to Current Cosmology)
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. View Full-Text
Keywords: conformal relativity; Brans–Dicke theory; superstring theory conformal relativity; Brans–Dicke theory; superstring theory
MDPI and ACS Style

Blaschke, D.B.; Dąbrowski, M.P. Conformal Relativity versus Brans–Dicke and Superstring Theories. Entropy 2012, 14, 1978-1996.

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