The case was filed by the cyber wing of the central crime branch after State Secretary of BJP's legal cell C Thangamani lodged a complaint with the Chennai Police Commissioner A K Viswanathan, police said.
In his complaint, the BJP leader said some persons had posted "obscene and awkward photos with defamatory, malicious and vulgar words" against Soundararajan on social media sites Facebook and Twitter.
The posts had depicted her in an indecent manner in the social media, the complaint alleged and requested action against those involved, according to a police release here.
Steps were being taken to find out who had posted the obscene content in the social media, police added.
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