f(R) Gravity and Maxwell Equations from the Holographic Principle

Abstract

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.

16 pages, 2 figures, v2 typos corrected

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Cited by in corpus (6)

• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• (1+1)-Dimensional Entropic Gravity
• Maxwell-like picture of General Relativity and its Planck limit
• Einstein Equations From Holographic Thermodynamics and Holographic Entropy
• Gravitational thermodynamics and universal holographic duality in dynamical spacetimes