Fawziyah Javed, 31, of Pudsey in West Yorkshire, was named by police after she died at the beauty spot on Thursday around 9pm.
It is understood she was visiting the capital on her honeymoon.
A 27-year-old man arrested in connection with the incident has now been charged in connection with the death, a statement from Police Scotland said.
He is due to appear at Edinburgh Sheriff Court on Monday.
Ms Javed is believed to have got married on Monday last week before subsequently travelling to Scotland.
The marriage party had been held at the Aakash restaurant at Cleckheaton in West Yorkshire.
It has also been reported she was in the early stages of a pregnancy at the time of her death.
Ms Javed worked as an employment lawyer for Leeds firm Lyn Davidson Solicitors and had also been a volunteer co-ordinator with a Leeds soup kitchen for the homeless.
In a tribute posted on Facebook, her uncle Zareef Zaf Latif said: "Fawziyah, our precious niece, taken away from us way too soon. Have so many memories of you as a little girl. Will miss you so much.
"May Allah grant you a special place in Jannat. I hope the angels take care of you until we meet again."
Ms Javed was described as a “beautiful person” by a neighbour in Pudsey.
The neighbour said: "I am very upset about her death, she was a very nice person.
“She had lived there for nine to ten months. She was a beautiful person and seemed very sensible … I was all day crying.”
Other tributes have described her as “a gem of a woman” who was “taken too soon”.
Police and emergency services were called to Arthur’s Seat in Holyrood Park around 9pm on Thursday.
Ms Javed was declared dead shortly after police arrived.
Detective Inspector Bob Williamson said: “Fawziyah’s family ask for their privacy to be respected during this extremely difficult time.
“I’d like to thank the officers and partners who attended the scene on Thursday evening and have assisted with our ongoing enquiries."
Police officers in West Yorkshire searched a property in Pudsey on Friday afternoon, but the force declined to comment further when contacted.