Asymptotically de Sitter and anti-de Sitter Black Holes with Confining Electric Potential

Abstract

We study gravity interacting with a special kind of QCD-inspired nonlinear gauge field system which earlier was shown to yield confinement-type effective potential (the "Cornell potential") between charged fermions ("quarks") in flat space-time. We find new static spherically symmetric solutions generalizing the usual Reissner-Nordstroem-de-Sitter and Reissner-Nordstroem-anti-de-Sitter black holes with the following additional properties: (i) appearance of a constant radial electric field (in addition to the Coulomb one); (ii) novel mechanism of {\em dynamical generation} of cosmological constant through the non-Maxwell gauge field dynamics; (iii) appearance of confining-type effective potential in charged test particle dynamics in the above black hole backgrounds.

9 pages, v2 12 pages, many additional clarifying remarks, references added, v3 minor typos corrected, to appear in Physics Letters B, v4 missing line in Eqs.(10) and missing constant factors in Eqs.(12),(17) inserted, acknowledgement added, results unchanged

References in corpus (6)

• When is g_{tt} g_{rr} = -1?
• Confinement from spontaneous breaking of scale symmetry
• Fine Tuning Free Paradigm of Two Measures Theory: K-Essence, Absence of Initial Singularity of the Curvature and Inflation with Graceful Exit to Zero Cosmological Constant State
• Static potential from spontaneous breaking of scale symmetry
• Bags and Confinement Governed by S.S.B. of Scale Invariance
• Strong Interaction Dynamics from Spontaneous Symmetry Breaking of Scale Invariance

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• Quark-antiquark confinement and nonlinear electrodynamics
• Dirty black hole supported by a uniform electric field in Einstein-Nonlinear Electrodynamics-Dilaton theory
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• Dynamical Couplings, Dynamical Vacuum Energy and Confinement/Deconfinement from R^2-Gravity
• Modified Gravity and Inflaton Assisted Dynamical Generation of Charge Confinement and Electroweak Symmetry Breaking in Cosmology
• Fully Explorable Horned Particles Hiding Charge
• $n+1$-dimensional Bertotti-Robinson solutions in gravity coupled with nonlinear electrodynamics
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• Magnetic Morris-Thorne wormhole in 2+1-dimensions
• Magnetic black hole in Einstein-Dilaton-Square root nonlinear electrodynamics
• Gravity, Nonlinear Gauge Fields and Charge Confinement/Deconfinement
• Using Two Measures Theory to Approach Bags and Confinement