f(R) Gravity and Maxwell Equations from the Holographic Principle
  Extending the holographic program of [1], we derive f(R) gravity and the Maxwell equations from the holographic principle, using time-like holographic screen. We find that to derive the Einstein equations and f(R) gravity in 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 the holographic screen for f(R) gravity and Maxwell's theory, respectively. 
Rong-Xin Miao, Jun Meng, Miao Li
hep-th astro-ph.CO gr-qc