Elsevier

Physics Letters B

Volume 201, Issue 3, 11 February 1988, Pages 325-327
Physics Letters B

Non-minimal coupling from dimensional reduction of the Gauss-Bonnet action

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Abstract

Dimensional reduction of a sum of the Einstein-Hilbert and Gauss-Bonnet action in five dimensions leads to a modified four-dimensional Einstein-Maxwell action. The latter contains a special product of curvature and electromagnetic field strength which contributes at most second derivatives of the four-dimensional metric and the electromagnetic potential to the field equations.

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Cited by (42)

  • Black holes of dimensionally continued gravity coupled to Born–Infeld electromagnetic field

    2018, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Citation Excerpt :

    In order to describe the phenomena of quantum electrodynamics, in 1936 Heisenberg and Euler proposed a nonlinear electromagnetic theory [14]. Nonlinear theories of electromagnetic field also arise in Kaluza–Klein reduction of higher-dimensional theories which include dimensionally continued Euler densities [15,16]. In 1930's, motivated by obtaining a finite value of the self-energy of electron Born and Infeld proposed a non-linear electrodynamics, which is know as Born–Infeld (BI) electrodynamics now [17].

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1

Supported by the Max Kade Foundation, New York, USA.

2

On leave of absence from the University of Göttingen, D-3400 Göttingen, Fed. Rep. Germany.

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