ADM Formalism

ADM formalism, short for Arnowitt-Deser-Misner formalism, is a framework used in general relativity to describe the gravitational field and spacetime. It reformulates Einstein's equations by splitting spacetime into space and time, allowing physicists to analyze the dynamics of gravitational systems more easily. The formalism provides a way to express the geometry of spacetime in terms of variables that resemble those of classical mechanics, making it suitable for studying both black holes and cosmology. By doing so, it helps in understanding how gravity influences the structure and evolution of the universe.