WASHINGTON — The Kennedy Center says it is facing a severe financial crisis and may shut down as soon as Tuesday, according to two resolutions filed Monday in federal court. The resolutions say the Washington performing arts institution could soon be unable to meet payroll obligations or pay routine maintenance contracts. One also calls for an immediate closure, citing concerns that the building is unsafe for continued occupancy. The disclosures came ahead of a Tuesday board meeting and a court hearing in a lawsuit brought by Rep. Joyce Beatty, D-Ohio, seeking to block the center’s renaming to include President Donald Trump’s name. Beatty, an ex-officio member of the Kennedy Center board, filed the resolutions with the court overseeing the case. The center’s administration maintains that Trump is uniquely positioned to stabilize the institution, raise large sums of money and supervise an extensive renovation. Commerce Secretary Howard Lutnick, whose wife serves on the board, said last month that repairs could cost between $400 million and $500 million if completed over time, but potentially $257 million if Trump managed the construction. The building has faced visible deterioration. On Sept. 5, the center said part of the ceiling in its Grand Foyer collapsed after rain damage. The institution has also cited moisture trapped behind exterior stone panels, internal corrosion and problems with granite paving slabs and drainage systems. Beatty’s court filing disputes the suggestion that construction consultants had declared the center unsafe. It says the consultants hired by the board had not made that determination. The crisis follows a year of upheaval after Trump took control of the center’s board and became its chairman. Most board members and much of the administration were selected by the president. Many employees have been dismissed or have left, while the center’s current president and CEO, Matt Floca, was promoted from a facilities leadership role and does not have a background in artistic direction, fundraising or arts administration. Artists and audiences have also pulled back, citing the institution’s increasing politicization. Performances have been canceled, the event calendar has shrunk substantially and donations have declined. Large nonprofit arts organizations typically rely on a combination of ticket revenue, private donations and government support, leaving the Kennedy Center especially exposed when both attendance and philanthropy weaken. The timing of the warning has drawn scrutiny from critics of the current leadership because it coincides with the board meeting and the court proceedings over the proposed name change. The Tuesday hearing is expected primarily to address future deadlines and scheduling in Beatty’s lawsuit. The Kennedy Center did not immediately respond to requests for comment. Whether the institution closes, and what public or private funding might be available to keep it operating, was not clear Monday.