Gravity and Luminosity: A Key Factor in the Search for Habitable Planets?

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james Origins
Went back to teaching after publishing newsletters for ten years. Has anyone published a paper relating the gravity of a star to its relative luminosity. The impact would be in the "habitable" (liquid water zone) when gravitational locking of close-in planets eliminates rotation; henceforth also killing magnetic shielding. Does gravity decline faster or slower than radiative impact? Consequently would searching for Earthlike worlds be a waste of time in dwarf stars?
 
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