Incidentally, this similarity arises from the similarity between Newton's law of gravitation and Coulomb's law.
field hockey | Field Marshal | Field Museum of Natural History | Wrigley Field | Soldier Field | Sally Field | Field of Dreams | Ebbets Field | Royal Field Artillery | Eugene Field | United States high school national records in track and field | Marshall Field's | field marshal | England national field hockey team | Schrödinger equation | McCook Field | LP Field | Informatics (academic field) | Faurot Field | Edward Field | Earth's magnetic field | Citi Field | Ayub Khan (Field Marshal) | Safeco Field | Progressive Field | Near field communication | India national field hockey team | Heinz Field | Hamilton Field | Field hockey |
In any physical theory, it is important to understand when solutions to the fundamental field equation exist, and answering this question has been the central theme of York's scientific work, culminating in the achievement, with Yvonne Choquet-Bruhat, of formulating the Einstein field equation as a well-posed system in the sense of the theory of partial differential equations.
With sufficiently clever assumptions of this sort, it is often possible to reduce the Einstein field equation to a much simpler system of equations, even a single partial differential equation (as happens in the case of stationary axisymmetric vacuum solutions, which are characterized by the Ernst equation) or a system of ordinary differential equations (as happens in the case of the Schwarzschild vacuum).
In 1965, Ezra "Ted" Newman found the axisymmetric solution of Einstein's field equation for a black hole which is both rotating and electrically charged.
Scalar theories of gravitation are field theories of gravitation in which the gravitational field is described using a scalar field, which is required to satisfy some field equation.