The decision follows the International Tennis Federation board's rejection overnight of a Tennis Australia appeal to shift the tie out of India because of security concerns.
"We asked for the tie to be moved because we have major security concerns for the players, particularly during the election," Tennis Australia president Geoff Pollard explained.
"The ITF decision has left us with no other option," Mr Pollard said. "We cannot send the team. It is extremely disappointing."
"It would be irresponsible of us to send our players into an area of such high risk. Davis Cup is very important