The chapter discusses the dynamics of general relativity, focusing on the challenges posed by the theory's coordinate invariance. It highlights the need to separate the metric field into parts carrying dynamical information and those characterizing the coordinate system, similar to the role of gauge invariance in electromagnetic theory. The chapter outlines methods to achieve this separation, emphasizing the importance of Lorentz covariance and gauge invariance in both theories. It introduces the concept of canonical form, which involves reducing the theory to a minimal set of variables and equations of motion that are first-order in time derivatives. The chapter also discusses the geometrical interpretation of the dynamical variables and the initial value problem, showing that the intrinsic geometry of spacetime is uniquely determined by an initial choice of metric and momentum variables. Finally, it presents the Hamiltonian form of the theory, including the fundamental Poisson brackets and equations of motion for the gravitational field.The chapter discusses the dynamics of general relativity, focusing on the challenges posed by the theory's coordinate invariance. It highlights the need to separate the metric field into parts carrying dynamical information and those characterizing the coordinate system, similar to the role of gauge invariance in electromagnetic theory. The chapter outlines methods to achieve this separation, emphasizing the importance of Lorentz covariance and gauge invariance in both theories. It introduces the concept of canonical form, which involves reducing the theory to a minimal set of variables and equations of motion that are first-order in time derivatives. The chapter also discusses the geometrical interpretation of the dynamical variables and the initial value problem, showing that the intrinsic geometry of spacetime is uniquely determined by an initial choice of metric and momentum variables. Finally, it presents the Hamiltonian form of the theory, including the fundamental Poisson brackets and equations of motion for the gravitational field.