Fears that the world recovery is running out of steam were heightened last week after the US jobs market stalled for a second month and the eurozone appeared to be slipping further into recession.Just 115,000 new jobs were created across the US in April, far fewer than the 163,000 in the previous month and well short of the 400,000 that have marked previous recoveries. The unemployment rate fell to 8.1%, but this came as the percentage of the population in the labour force declined, in part because people had stopped looking for work.Markets slumped on the news as traders prepared for a disappointing 2012. The FTSE fell 1.9% to 5655 and the Dow Jones had slipped 168 points to 13,038 by midday in New York.The report is expected to rattle nerves at the White House, which has enjoyed a run of positive economic news over the last six months. The US stock market has risen 12% since January.The Democratic administration will also be concerned at the prospect of a prolonged recession in Europe after most countries in the 17-member eurozone suffered a fall in economic activity in April.Italy led the downturn after its services sector shrank for the 11th consecutive month in April and at its sharpest rate for almost three years. It had already suffered the worst manufacturing numbers for three years.Several eurozone countries are in recession, including Italy, Spain, the Netherlands and Portugal. The UK has also spent the last six months in recession according to figures out last week. Brussels had expressed hope that the recessions would be shallow and shortlived, but recent data points to the eurozone facing deeper woes.