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What is called EinsteinMaxwell theory in physics is the theory/model (in theoretical physics) describing gravity together with electromagnetism.
It is a local Lagrangian field theory defined by the action functional which is the EinsteinHilbert action plus the Maxwell action functional? involving the given metric,
where
$X$ is the compact smooth manifold underlying spacetime,
$e$ is the vielbein field which encodes the field of gravity
$\nabla$ is the $U(1)$principal connection which encodes the electromagnetic field,
$vol(e)$ is the volume form induced by $e$;
$R(e)$ is the scalar curvature of $e$;
$F_\nabla$ is the field strength/curvature differential 2form of $\nabla$;
$\star_e$ is the Hodge star operator induced by $e$.
This is the special case of EinsteinYangMills theory for the gauge group being the circle group.
EinsteinMaxwell theory
:        

and  
content:  $e$  $\nabla$  $\psi$  $H$ 
:  density  squared  component density  squared + potential density 
$L =$  $R(e) vol(e) +$  $\langle F_\nabla \wedge \star_e F_\nabla\rangle +$  $(\psi , D_{(e,\nabla)} \psi) vol(e) +$  $\nabla \bar H \wedge \star_e \nabla H + \left(\lambda {\vert H\vert}^4  \mu^2 {\vert H\vert}^2 \right) vol(e)$ 
Section Prequantum gauge theory and Gravity in
See also
Last revised on December 7, 2015 at 08:14:51. See the history of this page for a list of all contributions to it.