Construction of a Holographic Superconductor in F(R) Gravity

Abstract

We construct a toy model for holographic superconductor with non linear Maxwell field in the frame of modified gravity. By probe the bulk background by non linear Maxwell fields we show that superconductivity happens under a specific critical temperature. The effect of the non linear Maxwell field and non linear curvature corrections have been studied by analytical matching methods. We conclude that the non linearity in Maxwell field and curvature coupling make condensation harder.

20 pages, 18 figures, Preliminary version

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Cited by in corpus (7)

• Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure
• Gravitational Dust Collapse in $f(R)$ Gravity
• (2+1)-dimensional solutions in $F(R)$ gravity
• Holographic superconductors with Weyl corrections
• Analytical holographic superconductors in $Ad{S}_N$ Lifshitz topological black holes
• Universality of critical magnetic field in holographic superconductor
• Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity