F(R)-gravity: “einstein frame” lagrangian formulation, Non-standard black holes and QCD-like confinement/deconfinement

E. Guendelman, A. Kaganovich, E. Nissimov, S. Pacheva

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider f(R)=R+R2 gravity interacting with a dilaton and a special non-standard form of nonlinear electrodynamics containing a squareroot of ordinary Maxwell Lagrangian. In flat spacetime the latter arises due to a spontaneous breakdown of scale symmetry and produces an effective chargeconfining potential. In the R+R2gravity case, upon deriving the explicit form of the equivalent local “Einstein frame” Lagrangian action, we find several physically relevant features due to the combined effect of the gauge field and gravity nonlinearities such as: appearance of dynamical effective gauge couplings and confinementdeconfinement transition effect as functions of the dilaton vacuum expectation value; new mechanism for dynamical generation of cosmological constant; deriving nonstandard black hole solutions carrying additional constant vacuum radial electric field and with non-asymptotically flat “hedge-hog”-type spacetime asymptotics.

Original languageEnglish
Title of host publicationLie Theory and Its Applications in Physics, 2013
EditorsVladimir Dobrev
PublisherSpringer New York LLC
Pages211-221
Number of pages11
ISBN (Electronic)9784431552840
DOIs
StatePublished - 1 Jan 2014
Event10th Workshop on Lie Theory and Its Applications in Physics, LT 2013 - , Bulgaria
Duration: 17 Jun 201323 Jun 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume111
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference10th Workshop on Lie Theory and Its Applications in Physics, LT 2013
Country/TerritoryBulgaria
Period17/06/1323/06/13

ASJC Scopus subject areas

  • General Mathematics

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