It is not accurate to say that Albert Einstein tried to prove that gravitational waves cannot exist. In fact, Einstein was the one who predicted the existence of gravitational waves in his theory of general relativity, which he published in 1915.
Gravitational waves are ripples in the fabric of spacetime caused by the acceleration of massive objects. Einstein's theory of general relativity describes gravity as the curvature of spacetime, and it predicts that accelerating masses can create waves that propagate outward, similar to how ripples spread on the surface of a pond when a stone is thrown into it.
Initially, Einstein was skeptical about the existence of gravitational waves, and he even doubted their detectability. However, as he continued to develop his theory, he became convinced of their reality. In subsequent years, Einstein worked on the mathematical aspects of gravitational waves and explored their properties further.
In fact, in 1916, Einstein published a paper with his collaborator Nathan Rosen, where they derived an approximate solution to the equations of general relativity, describing gravitational waves. This paper, titled "On Gravitational Waves," was an important step in the understanding and development of the theory of gravitational waves.
It is worth noting that it took several decades for experimental confirmation of gravitational waves to be achieved. The first direct detection of gravitational waves occurred in 2015 by the Laser Interferometer Gravitational-Wave Observatory (LIGO) collaboration, confirming Einstein's prediction and opening a new era of gravitational wave astronomy.
In summary, Einstein did not try to prove that gravitational waves cannot exist. On the contrary, he was instrumental in predicting their existence and contributed to the theoretical framework describing their properties.