Understanding Stokes Theorem and is the variation of the metric a tensor?

  • Thread starter haushofer
  • Start date

haushofer

Science Advisor
2,133
514
Hi, I have 2 little questions and hope to find some clarity here. It concerns some mathematics.

1) Is the variation of the metric again a tensor? I have the suspicion that it's not, because i would say that it doesn't transform like one. How can i get a sensible expression then for the covariant derivative of the variation of the metric? I need this to calculate the variation of the Riemanntensor, induced by a diffeomorphism multiplied by some test function.

2) I have the idea that I don't quite understand Stoke's theorem. Does it only apply for covariant divergences, or also for partial derivatives and/or exterior derivatives? I'm a little confused here :( I need this to rewrite the variation of an action.

Thanks in forward,

Haus.
 

haushofer

Science Advisor
2,133
514
Hi Greg,

Yes, I did, why do you ask? I didn't recognize the podt untill I saw that it's 12 years old :D
 
Hi Greg,

Yes, I did, why do you ask? I didn't recognize the podt untill I saw that it's 12 years old :D
Would you be interested in writing a couple sentences on each to give insight for those guests reading this thread? :smile:
 

Want to reply to this thread?

"Understanding Stokes Theorem and is the variation of the metric a tensor?" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top