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Einstein's theory of General Relativity is the benchmark example forempirical success and mathematical elegance in theoretical physics. However, inspite of being the most successfully tested theory in physics, there are strongtheoretical and observational arguments for why General Relativity should fail.It is not a question of if, but rather a question of where and when! I start byrecounting the tremendous success in observational cosmology over the pastthree decades, that has led to the era of precision cosmology. I will thensummarize the pathologies in Einstein's theory of gravity, as the cornerstoneof standard cosmological model. Attempts to address these pathologies areeither inspired by mathematical elegance, or empirical falsifiability. Here, Iprovide different arguments for why a falsifiable solution should violateLorentz symmetry, or revive "gravitational aether". Deviations from Einstein'sgravity are then expected in: 1) cosmological matter-radiation transition, 2)neutron stars, 3) gravitomagnetic effect, 4) astrophysical black holes, andtheir potential connection to dark energy, and 5) early Universe, where thepredictions are ranked by their degree of robustness and falsifiability.

Where will Einstein fail? Lessons for gravity and cosmology