Holographic Superconductors in f(R) Gravity

TL;DR

This paper investigates how modifications to Einstein's gravity in f(R) theories influence the properties of holographic superconductors, including critical temperature and condensate behavior, using black hole solutions and perturbative methods.

Contribution

It provides a detailed analysis of holographic superconductors within f(R) gravity, highlighting the effects of gravity modifications on superconducting phase transitions.

Findings

Critical temperature depends on f(R) modifications.

Condensate behavior is altered by effective gravitational parameters.

Black hole thermodynamics are affected by f(R) corrections.

Abstract

We study the holographic superconductors in f(R) gravity, and show how the critical temperature and the condensate of the dual operator depend on the modifications to Einstein gravity. We first review the black holes with constant curvature, which are clear in f(R) gravity. The dependencies are represented with the modified Newtonian constant and the effective cosmological constant trivially. Then we consider a planar black hole solution for a specific f(R) without imposing the constant curvature, which is asymptotic to AdS spacetime. The corrections to the thermal dynamics of the black holes, the critical temperature and the condensates are all obtained in a perturbative approach. Some comments are given on the affections of the f(R) gravity to the holographic superconductors.