Unveiling the Non-Zero Components of Riemann Tensor for Schwarzschild Curvature

  • Context: Graduate 
  • Thread starter Thread starter snoopies622
  • Start date Start date
  • Tags Tags
    Curvature Schwarzschild
Click For Summary

Discussion Overview

The discussion revolves around identifying the non-zero components of the Riemann curvature tensor specifically for the Schwarzschild metric, utilizing the coordinates r, φ, θ, and t. The focus is on theoretical aspects of general relativity and curvature tensors.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the non-zero components of the Riemann tensor for the Schwarzschild metric.
  • Another participant notes that there are 24 non-zero components and expresses skepticism about the effort required to list them all.
  • A third participant provides an attachment presumably containing the requested information.
  • A fourth participant expresses gratitude and mentions plans to access the attachment at a library.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the listing of the components, and the discussion includes varying levels of engagement with the request.

Contextual Notes

The discussion does not clarify the specific components of the Riemann tensor, nor does it address any assumptions or definitions that may be necessary for understanding the context of the Schwarzschild metric.

snoopies622
Messages
852
Reaction score
29
Say, does anyone happen to know the non-zero components of the Riemann (curvature) tensor for the Schwarzschild metric using [tex]r,\phi,\theta[/tex] and [tex]t[/tex]?

Thanks.
 
Physics news on Phys.org
Yes, but since there are 24 non-zero components I'll be surprised if anyone takes the time to write them out here.

Surely you can find them somewhere using google?
 
Hey Thanks, Mentz. I don't have Adobe on my computer but I'll go to the UNH library tomorrow and print it out there.

You guys are the greatest.
 

Similar threads

Graduate Ricci tensor for Fermi normal coordinates
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Effect of Black Hole Spin on Gravity
  • · Replies 18 ·
Replies
18
Views
3K
Graduate How to Express the Schwarzschild Metric in Fermi Normal Coordinates?
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Adapting Schwarzschild Metric for Nonzero Λ
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Calculate Ricci Scalar & Cosm. Const of AdS-Schwarzschild Metric in d-Dimensions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Curvature with different connections on the two-sphere
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad Riemann Curvature Tensor on 2D Sphere: Surprising Results
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Eddington-Finkelstein coordinates for Schwarzschild metric
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad Curvature and Schwarzschild metric
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Non-zero components of Riemann curvature tensor with Schwarzschild metric
  • · Replies 14 ·
Replies
14
Views
8K