The new results are based on regular measurements of the brightness of more than 3,000 stars in the open star cluster NGC 3766, about 7,000 light-years from Earth in the southern constellation of Centaurus, over a period of seven years.
The findings reveal that 36 of the cluster's stars followed an unexpected pattern - they had tiny regular variations in their brightness at the level of 0.1 per cent of the stars' normal brightness.
These variations had periods between about two and 20 hours, found the group from the Geneva Observatory using the Swiss 1.2-metre Leonhard Euler Telescope at ESO's La Silla Observatory in Chile.
This level of precision in the measurements is twice as good as that achieved by comparable studies from other telescopes - and sufficient to reveal these tiny variations for the first time.
"We have reached this level of sensitivity thanks to the high quality of the observations, combined with a very careful analysis of the data," said Nami Mowlavi, leader of the research team.
"But also because we have carried out an extensive observation programme that lasted for seven years. It probably wouldn't have been possible to get so much observing time on a bigger telescope," Mowlavi said.
This phenomenon has allowed the development of a whole branch of astrophysics called asteroseismology, where astronomers can "listen" to these stellar vibrations, in order to probe the physical properties of the stars and get to know more about their inner workings.
"The very existence of this new class of variable stars is a challenge to astrophysicists," said Sophie Saesen, another team member.
"Current theoretical models predict that their light is not supposed to vary periodically at all, so our current efforts are focused on finding out more about the behaviour of this strange new type of star," she said.
They spin at speeds that are more than half of their critical velocity, which is the threshold where stars become unstable and throw off material into space.
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