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Surface tension (S) is due to the inward force experienced by particles atthe surface and usually gravitation does not play an important role in thisforce. But in compact stars the gravitational force on the particles is verylarge and S is found to depend not only on the interactions in the strangequark matter, but also on the structure of the star, i.e. on its mass andradius. Indeed, it has been claimed recently that 511 keV photons observed bythe space probe INTEGRAL from the galactic bulge may be due toelectron-positron annihilation, and their source may be the positron cloudoutside of an antiquark star. Such stars, if they exist, may also go a long waytowards explaining away the antibaryon deficit of the universe. For that tohappen S must be high enough to allow for survival of quark/antiquark starsborn in early stages of the formation of the universe. High value of S may alsoassist explanation of delayed gamma-ray burst after a supernova explosion, asconversion from normal matter to strange matter takes place. The possibility ofsome implications from formation of surface waves are also discussed.Comment: 5 pages, 5 figures, uses aa-package. Accepted in Astronomy and  Astrophysics Letter

Newtonian and general relativistic contribution of gravity to surface tension of strange stars