Covid-19 is spreading further among those around US President Donald Trump, with White House adviser Stephen Miller and a top military official infected.

Mr Miller, who has been self-isolating for the past five days, confirmed he had contracted coronavirus on Tuesday.

Top US General Mark Milley and other military leaders are also quarantining after Coast Guard official Admiral Charles Ray tested positive.

Other officials are self-isolating "out of an abundance of caution".

In a statement, Mr Miller said he had been "testing negative every day" until Tuesday, adding that he was now in quarantine.

His wife, Katie Miller, who is Vice-President Mike Pence's spokeswoman, contracted the virus back in May and later recovered.

But Mr Miller's uncle produced a death certificate listing "respiratory arrest" and Covid-19 as "a condition leading" to the cause of Mrs Glosser's death.

Mr Miller - who writes the president's speeches - is known for his hardline views on immigration.

What's the latest on the US military leaders?

Adm Ray, vice-commandant of the US Coast Guard, is said to be experiencing mild symptoms.

While officials who attended meetings with Adm Ray last week are now quarantining, none have so far tested positive or exhibited symptoms, the Pentagon said.

It is not known how Adm Ray contracted the virus. The admiral attended an event at the White House about 10 days ago but it is not clear if he contracted the virus there or elsewhere, officials told the Associated Press news agency.

Mr Trump and other White House officials have tested positive for coronavirus in recent days.

The Coast Guard said in a statement that Adm Ray tested positive on Monday and was now isolating at home. It added that any Coast Guard personnel who were in close contact with him would also quarantine.

BBC partner CBS News reported that nearly all members of the Joint Chiefs of Staff - a body consisting of senior military officials who advise the US president - were in quarantine after attending meetings with Adm Ray last week.

In addition to the chairman of the Joint Chiefs, Gen Milley, it said others in quarantine included the vice-chief of staff, Army chief of staff, chief of naval operations, Air Force chief of staff, CyberCom commander, the Space Force chief, chief of the National Guard and deputy commandant of the Marine Corps.

Pentagon spokesman Jonathan Hoffman told reporters there had been "no change to the operational readiness or mission capability of the US Armed Forces."

"Senior military leaders are able to remain fully mission capable and perform their duties from an alternative work location," he said.

The Pentagon is conducting contact tracing related to last week's meetings.

Cases rising at the White House

Meanwhile, since President Trump tested positive last week, a number of senior Republicans and others close to him have been confirmed as having the virus.

This includes First Lady Melania Trump, aide Hope Hicks, and a number of Republican senators.

Press Secretary Kayleigh McEnany has tested positive, announcing her diagnosis on Monday, and three other members of staff in the press office - Chad Gilmartin, Karoline Leavitt and Jalen Drummond - have also tested positive.

Ms McEnany was seen speaking to journalists without wearing a mask on Sunday but said no members of the press had been listed as close contacts by the White House medical unit.

Many of the people in Mr Trump's inner circle who have tested positive attended a gathering at the White House Rose Garden on 26 September that is being scrutinised as a possible "super-spreader event".

Another coronavirus case to emerge from that event, at which the president unveiled his nominee for the US Supreme Court, is a Christian minister from California.

Pastor Greg Laurie, who is said to have mild symptoms, was also with US Vice-President Mike Pence earlier in that day at a prayer march in central Washington DC.

Plexiglass will be used to separate Vice-President Mike Pence and Democratic challenger Kamala Harris and limit the risk of Covid transmission when they go head-to-head in a debate in Salt Lake city, Utah, on Wednesday. Both candidates have recently tested negative.

President Trump, meanwhile, returned to the White House yesterday after being hospitalised with the virus.

While at Walter Reed Medical Center, he was treated with dexamethasone - a steroid medication usually given to severe and critical Covid-19 patients - and supplemental oxygen.