Lecture 22 - Black Holes I
The idea that light may not be able to escape from sufficiently dense bodies dates back to 1783 when the English Pastor John Michell first advanced this notion. This found a prominent mention in the great treatise by the French mathematician Laplace (1798). This conclusion was within the premise of Newton's theory of gravity. Einstein published his new theory of gravity in 1915. Within a couple of months, the great German Polymath obtained an exact solution to Einstein's equations for the gravitational field. This solution, describing the geometry of space-time around a non-rotating star, clearly showed that when a star contracts to a critical radius, no signal would be able to escape from it. Many decades later, the New Zealand mathematician Roy Kerr obtained an exact solution to Einstein's equations describing the geometry of space-time outside a rotating star. This lecture is a historical account of these monumental discoveries and explains several of the spectacular consequences of Einstein's theory of gravity.