5 Places Where Gravity DOES NOT Seem to Exist

The popular story of Sir Isaac Newton states that he was sitting under an apple tree when an apple fell on his head, and he pondered for a bit before he thought of the universal law of gravitation. According to the universal law of gravitation, any two bodies attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. But is it true that there are places on the Earth, where this law doesn't apply?