https://doi.org/10.1140/epjc/s10052-011-1589-2
Regular Article - Theoretical Physics
Non-minimal ln (R)F 2 couplings of electromagnetic fields to gravity: static, spherically symmetric solutions
1
Department of Physics, Koç University, 34450 Sarıyer, İstanbul, Turkey
2
Department of Physics Engineering, İstanbul Technical University, 34469 Maslak, İstanbul, Turkey
* e-mail: sertoz@itu.edu.tr
Received:
27
December
2010
Revised:
7
February
2011
Published online:
5
March
2011
We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field equations by a first order variational principle using the method of Lagrange multipliers. We look at static, spherically symmetric solutions that are asymptotically flat. We discuss the nature of horizons for some candidate black hole solutions according to various values of the parameters R 0 and a 1.
© Springer-Verlag / Società Italiana di Fisica, 2011