## Abstract

We discuss in some detail the properties of gravity (including f (R)-gravity) coupled to non-standard nonlinear gauge field system containing a square root of the usual Maxwell Lagrangian - f_{0}/2 √-F ^{2}. The latter is known to produce in flat spacetime a QCD-like confinement. Inclusion of gravity triggers various physically interesting effects: new mechanism for dynamical generation of cosmological constant; non-standard black hole solutions with constant vacuum electric field and with "hedge-hog"-type spacetime asymptotics, which are shown to obey the first law of black hole thermodynamics; new "tubelike" solutions of Levi-Civita-Bertotti-Robinson type; charge-"hiding" and charge-confining "thin-shell" worm-hole solutions; dynamical effective gauge couplings and confinement-deconfinement transition effect when coupled to quadratic R^{2}-gravity.

Original language | English |
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Pages | 197-213 |

Number of pages | 17 |

State | Published - 1 Jan 2012 |

Event | 7th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics 2012, MPHYS 2012 - Belgrade, Serbia Duration: 9 Sep 2012 → 19 Sep 2012 |

### Conference

Conference | 7th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics 2012, MPHYS 2012 |
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Country/Territory | Serbia |

City | Belgrade |

Period | 9/09/12 → 19/09/12 |

## ASJC Scopus subject areas

- Mathematical Physics