WASHINGTON — The Kennedy Center board voted Tuesday to close the historic arts center’s main venues for what it described as a roughly two-year period, citing serious physical problems and a financial crisis that officials said could put the institution within weeks of bankruptcy. The vote came minutes after U.S. District Judge Christopher Cooper blocked the board’s latest effort to add President Donald Trump’s name to the Kennedy Center and its grounds. Cooper said the board cannot install a memorial to Trump, or rename the grounds “President Donald J. Trump Plaza,” without approval from Congress. “Defendants cannot install memorials for President Trump or anyone or anything else at the Kennedy Center without Congress’s blessing,” Cooper wrote in a 22-page decision, pointing to federal law establishing the building as a living memorial to President John F. Kennedy. Trump, who serves as the center’s chair, responded by threatening to cancel a planned renovation unless a higher court reverses the ruling. He said the renovation and reconstruction would not proceed if the U.S. Court of Appeals for the D.C. Circuit and, if necessary, the Supreme Court upheld Cooper’s decision. The administration of the Kennedy Center has warned that the complex’s main building is unsafe in places. At the same time, ticket sales have fallen sharply, prominent artists have canceled appearances in protest of what they view as the venue’s politicization, and much of the administrative staff has departed or been dismissed. The board’s plan would keep REACH, a newer extension of the campus, open. It also calls for continued programming at REACH and off-site, support for the National Symphony Orchestra, and preservation of the Kennedy Center Honors and Mark Twain Prize. Board documents say those efforts are intended to maintain relationships with artists, donors and audiences during the closure and help the center rebuild its programming when the main building is expected to reopen in 2028. The shutdown could disrupt one of the nation’s most prominent performing-arts institutions and affect artists, staff, audiences and the Washington region’s cultural economy. The board’s resolution, however, did not provide a detailed plan for restoring the center’s programming after the closure. Major performances are often booked years ahead. The naming dispute is part of a federal lawsuit brought by Rep. Joyce Beatty, an Ohio Democrat and an ex officio member of the Kennedy Center board. Beatty sued last year to stop the institution from being renamed “The Trump Kennedy Center.” Her case does not directly challenge the renovation proposal. Cooper left open whether the board could use Trump’s name for a proposed $100 million fundraising campaign or on future plaques and signs. The board has argued that Trump’s involvement is essential to raising money for the project, but the judge noted that the proposed fund had not raised any money. Beatty said the ruling reaffirmed that the memorial is named for Kennedy and that Trump should not be able to condition the center’s future on adding his own name. The board is largely made up of Trump allies appointed by the president, including former Attorney General Pam Bondi and Fox host Laura Ingraham. Trump has argued that his role and fundraising capacity are necessary to save the institution, while the legal challenge continues in federal court.