## Abstract

We study within Palatini formalism an f(R)-gravity with f(R)=R+αR^{2} interacting with a dilaton and a special kind of nonlinear gauge field system containing a square-root of the standard Maxwell term, which is known to produce confinement in flat space-time. Reformulating the model in the physical Einstein frame we find scalar field effective potential with a flat region where the confinement dynamics disappears, while in other regions it remains intact. The effective gauge couplings as well as the induced cosmological constant become dynamical. In particular, a conventional Maxwell kinetic term for the gauge field is dynamically generated even if absent in the original theory. We find few interesting classes of explicit solutions: (i) asymptotically (anti-)de Sitter black holes of non-standard type with additional confining vacuum electric potential even for the electrically neutral ones; (ii) non-standard Reissner-Nordström black holes with additional constant vacuum electric field and having non-flat-space-time "hedgehog" asymptotics; (iii) generalized Levi-Civita-Bertotti-Robinson "tube-like" space-times.

Original language | English |
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Pages (from-to) | 1099-1104 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 718 |

Issue number | 3 |

DOIs | |

State | Published - 8 Jan 2013 |

## Keywords

- Black holes with confining electric potential
- Confining nonlinear gauge field system
- Dynamical cosmological constant
- Dynamical couplings
- F(R)-gravity
- Generalized Levi-Civita-Bertotti-Robinson space-times
- Palatini formalism

## ASJC Scopus subject areas

- Nuclear and High Energy Physics

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