G Force derived from G potential

[aditya ver.2.0]

Have just started to learn general relativity. But I am encountering a problem.
The formula
F_grav= -m ∇ φ (x_B)
represents the gravitational force derived form potential.
Here, x_B is B position, and φ(x) is the gravitational potential produced by A.
But I can't just understand the formula and what is ∇ in here.
Please help...

 

[aditya ver.2.0]

The differential form of the law of gravitational potential is ∇² Φ=4πGμ. What does it mean along with all its symbols. Comprehensive answer required.

 

[Orodruin]

Have just started to learn general relativity. But I am encountering a problem.
The formula
F_grav= -m ∇ φ (x_B)
represents the gravitational force derived form potential.
Here, x_B is B position, and φ(x) is the gravitational potential produced by A.
But I can't just understand the formula and what is ∇ in here.
Please help...

∇ is the nabla operator which may be used to write gradients, divergences and curls. If you have problems with this you should probably study vector and tensor analysis before trying GR.

 

[aditya ver.2.0]

∇ is the nabla operator which may be used to write gradients, divergences and curls. If you have problems with this you should probably study vector and tensor analysis before trying GR.

May I have a rough knowledge about it, sir?

 

[Orodruin]

May I have a rough knowledge about it, sir?

This is not something to learn through an internet forum. I suggest you study a basic textbook on vector analysis and ask if you have specific questions.

 

[Dale]

What is your background regarding partial differential equations and vectors?