Reuters:

The Supreme Court refused on Tuesday to consider the rights of same-sex parents in a setback for two gay men who wanted both of their names listed on their adopted son's birth certificate.

In a case closely watched by gay rights advocates, the high court rejected without comment an appeal by Oren Adar and Mickey Ray Smith, who sued to be listed as parents on a Louisiana birth certificate of the infant they adopted.

The justices let stand a ruling by a U.S. [5th Circuit] appeals court that a Louisiana registrar's decision not to list both men does not violate the child's right to equal protection under the law and does not deny legal recognition of the New York adoption.