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We consider gravitational time dilation between stationary observers andpresent examples, which contradict the statement that "time slows down asgravity increases". We show furthermore that this statement cannot be true ingeneral, if strength of gravity is defined in an observer independent manner.We provide also a pedagogical introduction to gravitational time dilation, anddiscuss aspects of this phenomenon, which are often omitted in textbooks ongeneral relativity.

Does time always slow down as gravity increases?