It added: "A full autopsy report has not yet been completed".
A police spokesman told two Detroit newspapers that the singer was found with a band around his neck. The group was formed a quarter-century ago as a tribute to Andrew Wood, the lead singer of the Seattle bands Malfunkshun and Mother Love Bone, who died in March 1990 of a heroin overdose.
The band broke up in 1997 and Cornell in 2001 joined members of Rage Against The Machine to form Audioslave, which earned acclaim with its self-titled album.
Cornell, age 52, died Wednesday night following Soundgarden's concert in Detroit.
Wayne County spokeswoman Lisa Croff said Thursday morning that the autopsy is being conducted by the county Medical Examiner's office.
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Cornell, who was on tour with Soundgarden, had performed a concert in Detroit on Wednesday night.
The death was first confirmed by Cornell's representative Brian Bumbery, who said in a statement to the AP, it was "sudden and unexpected" and that his wife and family were shocked. Police said Thursday that the 52-year-old's death is being investigated as a possible suicide.
After the slow opener, "Ugly Truth", Cornell said, "Detroit Rock City!"
"Chris Cornell he's like 12 years younger than me, he's my friend and we'd go out together for dinner". Cornell was found unresponsive on the floor of the bathroom after the door was forced open.
"In the interview that aired on Weekend Sunday, Martin noted Cornell was still recording with Soundgarden, and asked if he needed the band and the solo projects to make the whole?" Fans of Cornell speculated that Cornell may have died as a result of autoerotic asphyxiation, but the medical examiner did not explicitly cite that as a cause of death.
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He said in a statement to the Press Association that he could not process news of his death.
Cornell is considered one of the founding fathers of the Seattle grunge scene of the late 1980s and early 1990s, along with bands like Nirvana, Alice in Chains and Pearl Jam.
Chris Cornell of Soundgarden performs on stage during the 2014 Lollapalooza Brazil at Autodromo de Interlagos in Sao Paulo, Brazil. The set was scheduled to end on on May 27 in Oklahoma, according to promotional material.
" 'I would live without both parts, ' Cornell answered".
Out of rehab, Cornell fronted supergroup Audioslave, garnering more success than when he was with Soundgarden.
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