F (R) gravity and Maxwell equations from the holographic principle

Abstract

Extending the holographic program of our previous work, we derive f (R) gravity and the Maxwell equations from the holographic principle, using time-like holographic screens. We find that to derive the Einstein equations and f(R) gravity by a natural holographic approach, the quasi-static condition is necessary. We also find the surface stress tensor and the surface electric current, surface magnetic current on a holographic screen for f(R) gravity and Maxwell’s theory, respectively.