As significant numbers of Americans seek religious exemptions from COVID-19 vaccine mandates, many faith leaders are saying: Not with our endorsement.

Leaders of the Greek Orthodox Archdiocese of America said Thursday that while some people may have medical reasons for not receiving the vaccine, “there is no exemption in the Orthodox Church for Her faithful from any vaccination for religious reasons.”

The Holy Eparchial Synod of the nationwide archdiocese, representing the largest share of Eastern Orthodox people in the United States, urged members to “pay heed to competent medical authorities, and to avoid the false narratives utterly unfounded in science.”

“No clergy are to issue such religious exemption letters,” Greek Orthodox Archbishop Elpidophoros said, and any such letter “is not valid.”

Similarly, the Evangelical Lutheran Church in America issued a recent statement encouraging vaccine use and saying that “there is no evident basis for religious exemption” in its own or the wider Lutheran tradition.

The Catholic Archdiocese of New York laid out its own stance during the summer, saying that any priest issuing an exemption letter would be “acting in contradiction” to statements from Pope Francis that receiving the vaccine is morally acceptable and responsible.

Both the Vatican and the U.S. Conference of Catholic Bishops have said Catholics can receive the vaccines in good conscience given the lack of alternatives and the goal of alleviating suffering — even while objecting to research with even a remote connection to abortion.

A number of dioceses have adopted policies similar to New York’s, and bishops in El Paso, Texas, and Lexington, Kentucky, have mandated vaccines for employees.

But other Catholic jurisdictions are more accommodating of exemptions. The Colorado Catholic Conference, the policy arm of the state’s bishops, has posted online a template for a letter that priests can sign saying an individual parishioner may draw on Catholic values to object to the vaccines. South Dakota’s bishops have also taken that stance.

At issue for many Catholics and other abortion opponents is that the most widely used COVID-19 vaccines were tested on fetal cell lines developed over decades in laboratories, though the vaccines themselves do not contain any such material.

The issue is becoming more heated as public- and private-sector employers increasingly impose mandates.

A clerical letter wouldn’t necessarily be needed for someone to be granted an exemption — federal law requires employers make reasonable accommodations for “sincerely held” religious beliefs — though a clergy endorsement could help bolster a person’s claim.

The Rev. Robert Jeffress of First Baptist Dallas, a Southern Baptist megachurch, said he and his staff “are neither offering nor encouraging members to seek religious exemptions from the vaccine mandates.”

“There is no credible religious argument against the vaccines,” he said via email. “Christians who are troubled by the use of a fetal cell line for the testing of the vaccines would also have to abstain from the use of Tylenol, Pepto Bismol, Ibuprofen, and other products that used the same cell line if they are sincere in their objection.”

The Church of Jesus Christ of Latter-day Saints does not provide religious exemptions for vaccines for members, according to church spokesman Eric Hawkins. Leaders of the Utah-based faith have made pleas for members to get vaccinated even as doctrine acknowledges it’s up to individual choice.

The church’s Brigham Young University has asked students to report their vaccination status but is not requiring vaccinations, and the church is also requiring U.S. missionaries serving in foreign countries to be vaccinated.

Some other religious groups, such as the Orthodox Union, an umbrella organization for Orthodox Judaism, and the United Methodist Church, have encouraged people to get vaccines but have not issued policy statements on exemptions.

The Fiqh Council of North America, made up of Islamic scholars, has advised Muslims to receive the Pfizer or Moderna vaccines and to debunk “baseless rumors and myths” about them.

Associated Press writers Brady McCombs in Salt Lake City and David Crary in New York contributed to this report.