The minimum value to g is 1 and the value is measurably more than 1 only when v approaches value of c . Length contracts by g . Mass increases by g . The theory of special relativity does not include acceleration nor does it include gravity. The theory of general relativity includes both acceleration and gravity.
Constant acceleration is completely equivalent to a uniform gravitational field.
A beam of light bends under acceleration, so it should bend under gravity. This was shown to be correct during a solar eclipse. Clocks run slower in gravitational field. Energy is lost by means of increasing the wavelength, known as gravitational redshift . Einstein suggested a test.