Register to reply

Physics Quantity Corresponding to Christoffel

by dpa
Tags: christoffel, physics, quantity
Share this thread:
dpa
#1
Feb28-12, 09:34 PM
P: 149
Hi Everyone!

Somewhere I read <or possibly I think so and am wrong> that christoffel symbols correspond to gravitational field.

Is there any physical Quantity corresponding to Christoffel symbols? Could you be more explicit as to how the physical quantity corresponds to Christoffel Symbol?

Thank You

Sincerely
DPA
Phys.Org News Partner Science news on Phys.org
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds
Matterwave
#2
Feb29-12, 03:43 AM
Sci Advisor
Matterwave's Avatar
P: 2,684
The Christoffel symbols are the coordinate representation (in a coordinate basis) of the covariant derivative given by the Levi-Civita connection.

The Christoffel symbols are adjustments for how basis vectors "twist around" in a general curved geometry (or even in a flat space but with curved coordinates). As such, they are not, strictly speaking, "the gravitational field", since they can exist in the absence of the gravitational field if we just choose curvilinear coordinates rather than cartesian coordinates. Additionally, even in the presence of a gravitational field, they can be locally (at a point) set to zero by choosing local Lorentz coordinates around that point.


Register to reply

Related Discussions
Christoffel Symbols Advanced Physics Homework 9
Christoffel symbols Advanced Physics Homework 4
Christoffel symbols Differential Geometry 5
Christoffel symbols Special & General Relativity 5
Tutorial on the Christoffel equation used in relativity Special & General Relativity 4