Abstract
In this article we employ the matching method to analytically investigate the properties of holographic superconductors in the framework of Maxwell electrodynamics taking into account the effects of back reaction on spacetime. The relationship between the critical temperature (Tc) and the charge density (ρ) has been obtained first. The influence of back reaction on Meissner like effect in this holographic superconductor is then studied. The results for the critical temperature indicate that the condensation gets harder to form when we include the effect of back reaction. We also give a detailed discussion about the dependence of our results on the choice of the matching point. The expression for the critical magnetic field (Bc) above which the superconducting phase vanishes is next obtained. It is observed from our investigation that the ratio of Bc and Tc2 increases with the increase in the back reaction parameter. However, the critical magnetic field Bc decreases with increase in the back reaction parameter.
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