atyy said:http://www.physics.uoguelph.ca/poisson/research/agr.pdf
The gravity field Action S is a mathematical representation of the interaction between two objects due to their mass. It is used to calculate the force of gravity between the objects.
The gravity field Action S is derived from the equation for gravity, which is F = G * (m1 * m2)/r^2. The gravity field Action S is a more general form of this equation, taking into account the effects of all masses in a given space.
The gravity equation can be obtained by taking the derivative of the gravity field Action S with respect to distance. This will result in the equation F = G * (m1 * m2)/r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.
Obtaining the gravity equation from the gravity field Action S allows us to make more accurate predictions and calculations regarding the force of gravity between objects. It takes into account the influence of all masses in a given space, rather than just two objects.
While the gravity equation derived from the gravity field Action S is more accurate than the basic equation for gravity, it still has limitations. It does not take into account the effects of other forces, such as electromagnetic or nuclear forces, on the objects. It is also based on the assumption that the objects are point masses, which may not always be the case in real-world scenarios.