Everton move into eighth place, one point behind seventh-place Wolverhampton Wanderers.
Goal-line technology gave strike as the ball looked like it was cleared away by Burnley's Matthew Lowton.
Disciplinary action towards Chelsea and Burnley by Football Association (FA) are now unavoidable.
Liverpool have a chance to reclaim top spot when they visit Fulham, with City playing in the FA Cup that weekend.
Liverpool is now able to keep on par with Premier League leaders, Manchester City.
League leaders Manchester City, who are a point ahead of Liverpool, can steal a march in the title race if they beat Watford at home on Saturday.
Newcastle's 4th straight home win moved Rafa Benitez's team up 13th place, above Burnley, whose 8 game unbeaten run came to an end.
The interim manager is most famous for scoring the winning goal for the Old Trafford club in the closing seconds of the 1999 Champions League final against Bayern Munich.
The Clarets took the lead in the 15th minute when Chris Wood fired home after Ashley Barnes headed into his path.
The result leaves Burnley inside the relegation zone in 18th place – above only Huddersfield and Fulham.
Former Germany international Ozil was into the thick of the action at the Emirates, playing a key role in Aubameyang's opener.
Liverpool remained unbeaten and in second place on 39 points after 15 games while Burnley stayed in the relegation zone on nine points.
Leicester City players will wear shirts with the late Vichai Srivaddhanaprabha's name embroidered on them when they play against Burnley.
Felipe Anderson's two goals led West Ham to a 3-2 win over Burnley.
Chelsea went second in the Premier League with a comfortable 4-0 win at Burnley.
Burnley coach Sean Dyche is cognizant of the large gap between England's leading clubs and minor clubs.
Sam Vokes scored the winning goal for Burnley against Cardiff.
Burnley's 4-0 win over Bournemouth was highlighted by Ashley Barnes's two goals.
Burnley are now 19th in the 20-team Premier League.
Despite Manchester United's victory over Burnley, José Mourinho criticised Marcus Rashford for receiving a red card.
The pressure on José Mourinho was eased after Manchester United beat Burnley 2-0.
A banner that was displayed during Manchester United's game against Burnley read "Ed Woodward a specialist in failure".
Despite a difficult relationship with coach José Mourinho, Manchester United's Anthony Martial may nevertheless be fielded against Burnley.
Burnley were knocked out of the Europa League qualifiers by Olympiakos, while nine-man Rangers knocked out FC Ufa.
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