Conformal relativity versus Brans-Dicke and superstring theories
type: Item
instance of: scholarly article
title: Conformal relativity versus Brans-Dicke and superstring theories
zbMATH Open document ID: 1297.83030
author: David B. Blaschke
author: Mariusz P. Dąbrowski
published in: Entropy
publication date: 2014-09-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0407078
review text: Summary: 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 \(\omega=-3/2\) (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 \(\omega=-1\). 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.
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 6341052
zbMATH Keywords: conformal relativity
zbMATH Keywords: Brans-Dicke theory
zbMATH Keywords: superstring theory
MaRDI profile type: Publication
OpenAlex ID: W2016565594
arXiv ID: hep-th/0407078
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DOI: 10.3390/E14101978
description: scientific article; zbMATH DE number 6341052