When I had a greenhouse a few years ago I used to grow mainly Toms. One crop I had the same problem with the skins splitting just like that.
I had a job at the big greenhouses in Terrington owned by a Dutchman and his son.I was changing a transformer there that had blown up.
I asked him why my toms were splitting and he told me it was all down to the amout of water I gave them. As a tom is just about all water
he reckoned that they needed exactly the same amount of water each time. If you gave each plant a pint during watering and the next
time you gave two pints the water intake would be to much and split the skins. Its a bit like me drinking ten pints of lager and me belly
swelling up.

I do not want thanks for any research I am able to help out with. I just love doing it.