turkmath.org

Direct detection of gravitational waves from merging binary black holes and binary neutron stars have been recently made. These observations confirm Einstein's prediction (dating 1916) which says that accelerated massive objects create propagating ripples in space-time that amounts to tiny but measurable fluctuations in the metric of space-time. To interpret the observations, strong field regime of gravity was necessary to understand. In this talk I will give a broad summary of the mathematical ideas such as the hyperbolic nature of Einstein's equations and perturbative and exact wave solutions and some related concepts. Gravity waves have just given us another tool to see the past of the universe: for example, neutron star neutron star collision that generated gravity waves also explained the origins of all precious metals silver, gold, platinum and other heavy elements in the universe.