Generalized Bertotti-Robinson solution to the Einstein-Heisenberg-Euler theory

Details Generalized Bertotti-Robinson solution to the Einstein-Heisenberg-Euler theory Generalized Bertotti-Robinson solution to the Einstein-Heisenberg-Euler theory

Apr 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..758..222m&link_type=abstract

GRAVITATION AND COSMOLOGY: 2nd Mexican Meeting on Mathematical and Experimental Physics. AIP Conference Proceedings, Volume 758

Physics

Cosmology, Electromagnetic Field Theory, Mathematical And Relativistic Aspects Of Cosmology, Classical Electromagnetism, Maxwell Equations

Scientific paper

In this paper we present a Bertotti-Robinson-like analytical solution to the Einstein-Heisenberg-Euler system of field equations, endowed with cosmological constant. The solution is type D in Petrov's classification, possesses constant curvature and the electromagnetic field is static and homogeneous throughout the space-time. For vanishing Heisenberg-Euler non-linearities of the electromagnetic field the standard Bertotti-Robinson results are recovered.

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