Question

Is the “Force” of Gravity Simply Hamilton's Principle on a Curved Spacetime?

Answer 1

Hey mate ^_^

It's my understanding that General Relativity abstracts away the concept of gravity as a force, and instead describes it as a feature of spacetime by which massive objects cause curvature.....

Then it follows that what we experience as a force is simply the difference between a geodesic on this curved surface and our perceived Euclidean space.....

#Be Brainly❤️

Answer 2

Hello mate here is your answer.

It follows that what we experience as a force is simply the difference between a geodesic on this curved surface and our perceived Euclidean space. What I am unsure of, exactly, is the implication of this.

S[q]≡∫L(q(t),δqδt(t),t)dtS[q]≡∫L(q(t),δqδt(t),t)dt

and Hamilton's Principle states that

δSδq(t)=0.δSδq(t)=0.


F(q(t))=−∇U(q(t))=∇(T(δqδt(t))−U(q(t)))=∇L,F(q(t))=−∇U(q(t))=∇(T(δqδt(t))−U(q(t)))=∇L,

which, as I understand is true for a conservative field like gravitation.

Hope it helps you.