A place of worship was set on fire while a short circuit apparently triggered a blaze in another in Haryana's Nuh district on the night of August 2.
The police said no one was injured in the incidents. The police are identifying the accused with the help of CCTV cameras and conducting raids to nab the suspects.
Curfew, meanwhile, has been relaxed in Nuh on Thursday.
"People can buy daily essentials from 10 am to 1 pm", said Prashant Panwar, Deputy Commissioner of Nuh.
Six people have died so far in the violence that erupted in Nuh on July 31.