The letter is postmarked Berlin and dates December 10, 1915.
"The boldest dreams have now been fulfilled," Einstein wrote in the letter, rejoicing in his theory's success.
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Einstein's general theory of relativity is one of most important developments of 20th-century physics.
Published in 1916, it explains that gravity is in fact curvature of space and time.
Recent observation of gravitational waves - ripples in the fabric of space and time - successfully confirmed this theory, 100 years after it was put forward by the renowned scientist.
The postcard, written in German, opens with news of an intended journey to Switzerland, after Einstein was assured that his eldest son, Hans Albert, wished to spend time with him.
Einstein signed off the letter with 'greetings from your happy but rather worn out Albert'.
The postcard is a part of a collection of letters written by Einstein to his college friend Besso currently up for online auction at Christie's. The bidding for the items in this collection closes on December 6.
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