Rule, power, sway, control, influence. Btw, I believe you mean synonym. Homophone in a word that's spelled the same or similar, but means something different. Synonym means the same thing, but is a whole different word. There is no actual homophone for authority.
homophone
gneiss
pear, pair, pare
The Values of Babylon are Justice and Authority. They respected all officials that dealt with Authority and Justice and they officials that had lots of Authority reported to the kings.
Airports Authority of India's motto is 'Service with security'.
The homophone of farther is father.
The homophone for "meant" is "mint".
The homophone for "to" is "too" or "two".
The homophone is bee.
no there is not a homophone
The answer is that there is no homophone for can, but can is a homonym.
the homophone for too is two and to. There is no homophone for much
The homophone for tale is tail.
the homophone for stationery is stationary
The homophone for "goal" is "gole".
Phrase is a homophone for frays.
A homophone for MOWN is MOAN.