@inproceedings{01500b8f8c274346bf2bde9349fe1607,

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

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.",

author = "E. Guendelman and A. Kaganovich and E. Nissimov and S. Pacheva",

note = "Funding Information: We gratefully acknowledge support of our collaboration through the academic exchange agreement between the Ben-Gurion University and the Bulgarian Academy of Sciences. S.P. has received partial support from COST action MP-1210. Publisher Copyright: {\textcopyright} Springer Japan 2014.; 10th Workshop on Lie Theory and Its Applications in Physics, LT 2013 ; Conference date: 17-06-2013 Through 23-06-2013",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/978-4-431-55285-7_13",

language = "English",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "211--221",

editor = "Vladimir Dobrev",

booktitle = "Lie Theory and Its Applications in Physics, 2013",

}