## Abstract

An “analytic gravitational field”*Z*_{αβ}(*Z*^{ y }) is shown to include electromagnetic phenomena. In an almost flat and almost static complex geometry*ds*^{ 2 }=z_{αβ}dz^{α}dz^{β} of four complex variables z^{γ}=*t, x, y, x* the field equations*R*_{αβ}\(\frac{1}{2}\)*Rz*_{αβ}= −κ(σ*U*_{α}*U*_{β} − υ*Z*_{αβ}) imply the conventional equations of motion and the conventional electromagnetic field equations to first order if σ=σ(*Z*^{v}) and ν=ν(*z*^{γ}) are expressed in terms of the conventional mass density function\(\hat \sigma = \hat \sigma (x^\gamma )\), the conventional charge density function\(\hat \varepsilon = \hat \varepsilon (x^\gamma )\), and a pressure*p* as follows:\(\sigma = - 2v - 2iv\hat \varepsilon /\hat \sigma ,v = v + i(\frac{1}{4}\hat \varepsilon + v\hat \varepsilon /\hat \sigma ),\) v=const=*p/c*^{2}≈−10^{−29} gm/cm^{3}.

## Keywords

Density Function Charge Density Electromagnetic Field Field Equation Mass Density## Preview

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## References

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*Found. Phys.*, to appear.Google Scholar - 2.A. Einstein,
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