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f(R) Gravity and Maxwell Equations from the Holographic Principle. 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.
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f(R) Gravity and Maxwell Equations from the Holographic Principle 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
In the quasi-static limit, The second term can not be written in the form
Action: Conformal transformation:
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:1102.1166v1 [hep-th]