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Conformal Relativity versus Brans–Dicke and Superstring Theories
AbstractWe 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.
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Blaschke, D.B.; Dąbrowski, M.P. Conformal Relativity versus Brans–Dicke and Superstring Theories. Entropy 2012, 14, 1978-1996.View more citation formats
Blaschke DB, Dąbrowski MP. Conformal Relativity versus Brans–Dicke and Superstring Theories. Entropy. 2012; 14(10):1978-1996.Chicago/Turabian Style
Blaschke, David B.; Dąbrowski, Mariusz P. 2012. "Conformal Relativity versus Brans–Dicke and Superstring Theories." Entropy 14, no. 10: 1978-1996.