Jun Meng

contents 1.Einstein equations from the holographic principle 2.f(R) gravity from the holographic principle 3.Maxwell equations from the holographic principle

1.Einstein equations from the holographic principle

In the quasi-static limit, The second term can not be written in the form

2.f(R) gravity from the holographic principle

Action: Conformal transformation:

3.Maxwell equations from the holographic principle

conditions

For magnetic charge: Assume: Hodge duality

conclusion 1.We have derived Einstein equations, f(R) gravity and Maxwell equations from the holographic principle. 2.We find the surface stress tensor and surface electric current,surface magnetic current for Einstein gravity, f(R) gravity and Maxwell’s theory. 3.It is interesting and possible to extend our holographic approach to higher dimension theory.

references [9] Rong-Xin Miao, Jun Meng, Miao Li, “f(R) Gravity and Maxwell Equations from the Holographic Principle,” arXiv: v1 [hep-th]