Three of the eight fire stations that sent engines to the Apollo Theatre last night following the ceiling collapse that injured more than 70 people are set to close under the mayor's plans.
Westminster, Knightsbridge and Southwark stations are all earmarked for closure on January 9 2014
The application for judicial review was brought by the borough councils of Islington, Camden, Southwark, Tower Hamlets,Hackney, Lewisham and Greenwich.
The Fire Brigades Union has fought the proposed closures, which are part of a drive to save £28.8 million and have led to demonstrations across London.
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The capital's theatres also generate more searches than those in any other city, according to research by Google.
Union officials are expected to meet next week to plan further stoppages if talks fail to resolve the dispute.
Natalie Sharp and Christine Bicknell appeared in court over an alleged incident at a Lidl superstore in Wallington, south London.