Acceleration due to gravity for celestial body
where g = \(\frac{G M}{R^{2}}\)
M = the mass of the body
R = the radius of the body
Therefore, for g to be infinity,
(i) The value of M should be infinite
(ii) The radius R should be zero.
Above both the conditions are not possible for a real body. Therefore such a celestial body is not possible on which the value of g be infinite.