Is It True that the Day of Judgement Will Come on a Friday, 10th Muharram?


my question is with regards to the day of judgement. from what i have read in the sahih(accurate) hadith it is stated that the day of judgement will come on friday(10th moharram).My question is if it is friday in saudi arabia then it will be another day in USA and so basically it is never friday all over the world at one time...please answer, this has been troubling me for sometime.