Conformal Relativity versus Brans–Dicke and Superstring Theories
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2012-10-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/14/10/1978 |
| _version_ | 1811302186392485888 |
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| author | David B. Blaschke Mariusz P. Dąbrowski |
| author_facet | David B. Blaschke Mariusz P. Dąbrowski |
| author_sort | David B. Blaschke |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T07:23:31Z |
| format | Article |
| id | doaj.art-6abae414809f482c8a9b6f6f3ce91495 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T07:23:31Z |
| publishDate | 2012-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-6abae414809f482c8a9b6f6f3ce914952022-12-22T02:56:32ZengMDPI AGEntropy1099-43002012-10-0114101978199610.3390/e14101978Conformal Relativity versus Brans–Dicke and Superstring TheoriesDavid B. BlaschkeMariusz P. DąbrowskiWe 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.http://www.mdpi.com/1099-4300/14/10/1978conformal relativityBrans–Dicke theorysuperstring theory |
| spellingShingle | David B. Blaschke Mariusz P. Dąbrowski Conformal Relativity versus Brans–Dicke and Superstring Theories Entropy conformal relativity Brans–Dicke theory superstring theory |
| title | Conformal Relativity versus Brans–Dicke and Superstring Theories |
| title_full | Conformal Relativity versus Brans–Dicke and Superstring Theories |
| title_fullStr | Conformal Relativity versus Brans–Dicke and Superstring Theories |
| title_full_unstemmed | Conformal Relativity versus Brans–Dicke and Superstring Theories |
| title_short | Conformal Relativity versus Brans–Dicke and Superstring Theories |
| title_sort | conformal relativity versus brans dicke and superstring theories |
| topic | conformal relativity Brans–Dicke theory superstring theory |
| url | http://www.mdpi.com/1099-4300/14/10/1978 |
| work_keys_str_mv | AT davidbblaschke conformalrelativityversusbransdickeandsuperstringtheories AT mariuszpdabrowski conformalrelativityversusbransdickeandsuperstringtheories |