What is G in general relativity?

Definition and basic properties. General relativity is a metric theory of gravitation. Instead, gravity corresponds to changes in the properties of space and time, which in turn changes the straightest-possible paths that objects will naturally follow. The curvature is, in turn, caused by the energy–momentum of matter.

What is gravitational force formula?

The mathematical formula for gravitational force is F=GMmr2 F = G Mm r 2 where G is the gravitational constant.

Is gravity a force in general relativity?

In general relativity, gravity is not a force between masses. Instead gravity is an effect of the warping of space and time in the presence of mass. Without a force acting upon it, an object will move in a straight line.

What are the equations in the general theory of relativity?

Einstein field equations. For the equation E = mc 2, see Mass–energy equivalence. In the general theory of relativity the Einstein field equations ( EFE; also known as Einstein’s equations) relate the geometry of spacetime to the distribution of matter within it.

How are the Einstein field equations related to gravitation?

The Einstein field equations (EFE; also known as Einstein’s equations) comprise the set of 10 equations in Albert Einstein’s general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.

Are there any gravitational forces in general relativity?

First, general relativity is a (geo)metric theory. There is no gravitational forces in general relativity. In general relativity, bodies affected only by gravitation are moving freely, but in a curved spacetime Note the zero at the right, which is a consequence of the absence of gravitational forces in general relativity.

How is the EFE related to Newton’s law of gravitation?

As well as implying local energy–momentum conservation, the EFE reduce to Newton’s law of gravitation in the limit of a weak gravitational field and velocities that are much less than the speed of light. Exact solutions for the EFE can only be found under simplifying assumptions such as symmetry.