Chintan, an artist and Hema's estranged husband, has been arrested for hatching the conspiracy to kill her.
"We are yet to get any evidence or details about the alleged meeting of Chintan with the other accused," a police officer privy to the probe said.
While five people have been arrested so far, the main accused Vidyadhar Rajbhar is still at large.
The officer also said that police were questioning chemical suppliers in the city to find out from where the chloroform used in the murder was procured.
Chintan's police custody ends on January 1.
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CB-CID ADGP Karan Singh inspected the scene of the crime on the outskirts of Coimbatore.
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A Tiruchirappalli report said 200 members belonging to BJP, VHP and Hindu Munnani were today taken into custody for staging a demonstration here.
They were taken into custody as permission for the protest had been denied, police said.
