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

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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:1102.1166v1 [hep-th]
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