Universität zu Köln

Hehl, Friedrich W. ORCID: 0000-0003-2503-4744 (2016). Axion and dilaton plus metric emerge jointly from an electromagnetic model universe with local and linear response behavior. Int. J. Mod. Phys. D, 25 (11). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6594

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Abstract

We take a quick look at the different possible universally coupled scalar fields in nature. Then, we discuss how the gauging of the group of scale transformations (dilations), together with the Poincare group, leads to a Weyl-Cartan spacetime structure. There the dilaton field finds a natural surrounding. Moreover, we describe shortly the phenomenology of the hypothetical axion field. In the second part of our essay, we consider a spacetime, the structure of which is exclusively specified by the premetric Maxwell equations and a fourth rank electromagnetic response tensor density chi(ijkl) = -chi(jikl) = -chi(ijlk) with 36 independent components. This tensor density incorporates the permittivities, permeabilities and the magneto-electric moduli of spacetime. No metric, no connection, no further property is prescribed. If we forbid birefringence (double-refraction) in this model of spacetime, we eventually end up with the fields of an axion, a dilaton and the 10 components of a metric tensor with Lorentz signature. If the dilaton becomes a constant (the vacuum admittance) and the axion field vanishes, we recover the Riemannian spacetime of general relativity theory. Thus, the metric is encapsulated in chi(ijkl), it can be derived from it.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hehl, Friedrich W. UNSPECIFIED orcid.org/0000-0003-2503-4744 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-259324
DOI:	10.1142/S0218271816400150
Journal or Publication Title:	Int. J. Mod. Phys. D
Volume:	25
Number:	11
Date:	2016
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6594
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GAUGE-THEORY; ELECTRODYNAMICS; INFLATION; PRINCIPLE; GRAVITY; HIGGS Multiple languages Astronomy & Astrophysics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/25932