Dynamical couplings, dynamical vacuum energy and confinement/deconfinement from R2-gravity

Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva

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8 Scopus citations

Abstract

We study within Palatini formalism an f(R)-gravity with f(R)=R+αR2 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 languageEnglish
Pages (from-to)1099-1104
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume718
Issue number3
DOIs
StatePublished - 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

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