Scotland Yard said that a summons had been issued for Sun journalist Virginia Wheeler, from Kennington, south London, to appear at Westminster Magistrates' Court on February 11.
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The Islamic centre where the Manchester suicide bomber is thought to have prayed says the attack "has no place in Islam or any religion".
German chancellor Angela Merkel and Indian prime minister Narendra Modi among those to praise "great spirit" of Manchester people.
The bomber's identity has been confirmed by Greater Manchester Police.