Karaf show log for timeframe


does anybody know how to tell karaf to display log messages from a ceratin timeframe?

My OH2 sometimes stopps working correctly. When I came back from work it was quite cold. I headed to my PC to have a look what happend. OH2 was still running and I could log into karaf. I could see messages appearing (log:tail) but my rules were not triggered anymore. I restarted OH2 and all was fine again.
log:exception-display didn’t show anything, but since I’m logging the temperature, I could see that it stopped working around 1:09 am. On Wednesday it stopped at 6:49am.