TL;DRAbstract
The stationary Einstein-Maxwell -Kl ein-Gordon (EMKG) equations f o r interacting gravitational , electromagnetic, a n d meson f i e l d s a r e examined.The theory i s cast into the formalism of principal fiber bundles with a connection, wherein i t s relationship to current trends in theoretical physics i s made manifest.The EMKG equations are shown to admit a "Higgs -1 ike mechanism" for giving mass to the gauge f i e l d .A theorem specifying sufficient conditions for the s t a t i o n a r i t y of the spacetime metric to imply s t a t i o n a r i t y of the other f i e l d s i s proved.By imposing additional cons t r a i n t s and symmetries, the EMKG equations are considerably simplified.An attempt ismade to apply a solution-generating technique, and t h i s meets with only partial success.Finally, a stationary, b u t non-static, solution i s found, and the geometric and physical properties are discussed.
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The stationary Einstein-Maxwell -Kl ein-Gordon (EMKG) equations f o r interacting gravitational , electromagnetic, a n d meson f i e l d s a r e examined.The theory i s cast into the formalism of principal fiber bundles with a connection, wherein i t s relationship to current trends in theoretical physics i s made manifest.The EMKG equations are shown to admit a "Higgs -1 ike mechanism" for giving mass to the gauge f i e l d .A theorem specifying sufficient conditions for the s t a t i o n a r i t y of the spacetime metric to imply s t a t i o n a r i t y of the other f i e l d s i s proved.By imposing additional cons t r a i n t s and symmetries, the EMKG equations are considerably simplified.An attempt ismade to apply a solution-generating technique, and t h i s meets with only partial success.Finally, a stationary, b u t non-static, solution i s found, and the geometric and physical properties are discussed.
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