Hi Bill,
Thanks for the response. In this paper:
http://arxiv.org/pdf/gr-qc/0401099v1.pdf
the author writes, "So in roughly the same sense that the Riemann tensor governs the evolution of a vector or a displacement parallel propagated along a geodesic, the Ricci tensor governs the evolution of...
Hello,
I am studying general relativity right now and I am very curious about the Ricci tensor and its meaning. I keep running into definitions that explain how the Ricci tensor describes the deviation in volume as a space is affected by gravity. However, I have yet to find any quantitative...
Yes, sorry, I am sort of using normal as a synonym for orthogonal. Essentially, how would vector that is normal to a surface in Minkowski spacetime differ from a vector normal to the same surface embedded in Euclidean space?
I was thinking it had something to do with the magnitude function in...
HallsofIvy, thanks for the response! Sorry my question was sort of ambivalent. By 'the' basis, I meant 'a' basis. That's a very concise and helpful explanation.
Thank you!
I've looked at this topic for a while and I have yet to come to any sort of conclusive answer when it comes to calculating the basis of a surface's tangent vector. Do you have a concrete method or know where I can find one for doing this?
Thank you
Hello, I am currently in high school and I recently got the opportunity to do an independent study with one of my teachers and I am struggling to come up with what to study. I have taken calculus 1, 2, and 3, differential equations (with a bit of linear algebra), and calculus-based mechanics and...
The force when it's just hanging there is
F = m * g = 5 * (9.81) = 49.05
And if F = -kx, k should equal 490.5. Using the initial condition of γ(.04 m/s) = 2 N, γ = 50. (Where γx' is the force due to damping).
When I plug this in and solve the DE, I get really bizarre values for the...
Homework Statement
A mass of 5kg stretches a spring 10cm. The mass is acted upon by an external force of 10sin(t/2) Newtons and moves in a medium that imparts a viscous force of 2N when the speed of the mass is 4cm/sec. If the mass is set in motion from its equilibrium position with an initial...