Sonam Rahuvanshi and her boyfriend Raj Kushwaha, who had allegedly conspired to murder her husband Raja Raghuvanshi, have admitted to their relationship, the Meghalaya police have said.

The state's Special Investigation Team, which is investigating the honeymoon murder case, has dismissed the victim's family's demand for a narco test on the woman, stating they have all the evidence needed.

Results of a narco-analysis are not admissible in court.

Superintendent of Police in East Khasi Hills, Vivek Syiem, on Tuesday told the media that both Raj and Sonam have admitted to being in a relationship during the probe.

"They have already admitted to the crime. We have done the reconstruction (of the crime scene). They have shown us. We have got the evidence in the place of... I don't see the reason why we should perform (naro analysis test) at this stage," Syiem said.

"Narco test is done usually when there's no evidence at all, and Narco analysis is actually banned by the Supreme Court," he said.

The arrested accused are likely to be produced in court on Thursday.

Even as the specific motive for the murder was not explicitly stated as "money", the officer indicated that their desire to remove Raja from the scenario was linked to their relationship and business aspirations.

The Meghalaya Police have recreated the crime scene near the Wei Sawdong falls in the East Khasi Hills district, where Raja was killed on May 23, just 12 days after his wedding in Indore.

His body was then thrown into a gorge and discovered on June 2.

Raja's wife, Sonam Raghuvanshi, was present all along during his murder by the three friends of her lover Raj Kushwaha.

The men involved in the murder are Akash Rajput, Vishal Singh Chauhan and Anand Kurmi.