Well then isn't it obvious that due to the size and density of the star, gravity waves would form.
No - gravitational waves cannot be formed from a symmetrical object, irrespective of its density and size. A varying gravitational quadrupole is required.
This is almost the same situation as electromagnetism, where a single static charge cannot generate electromagnetic waves - a varying dipole is required. The difference between em and gravity is accounted for by the vector nature of e/m vs the symmetric tensor nature of gravity - or equivalently the fact that e/m comes with +ve and -ve charges, where-as gravitational mass is purely +ve.
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