Exploring f(R) Gravity and Maxwell Equations through the Holographic Principle
This work investigates the derivation of Einstein equations, f(R) gravity, and Maxwell equations using the holographic principle. In the quasi-static limit, the analysis highlights the significance of the surface stress tensor and electric/magnetic currents in Einstein gravity, f(R) gravity, and Maxwell’s theory. The findings suggest intriguing possibilities for extending this holographic framework to theories in higher dimensions. This paper serves as a bridge between fundamental physics and the holographic paradigm, enriching our understanding of gravitational and electromagnetic interactions.
Exploring f(R) Gravity and Maxwell Equations through the Holographic Principle
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Presentation Transcript
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]
