Can you prove a theorem from Bergmann chapter 8 using Fig. 8?

  • Thread starter Thread starter supakorn
  • Start date Start date
  • Tags Tags
    Theorem
supakorn
Messages
11
Reaction score
0
From Bergmann chapter 8.Please show that (see at Fig. below)...thank you.
 

Attachments

  • B1.GIF
    B1.GIF
    1.1 KB · Views: 443
  • B2.GIF
    B2.GIF
    995 bytes · Views: 464
Physics news on Phys.org
Sounds like a homework problem.
What have you tried?
What is \varphi? Does it have any special properties?
 
it not HW but i read and try to prove.For PHI, it is a skewsymmetric.
 
I'm Done (but Not Sure).phi Defined On The Flat Space,i Will Post My Answer Next Time.now I'm Happy.
 

Thread 'I don't see how a black hole's event horizon can be crossed'

OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...
View full post »

Thread 'Synchronizing clocks in an inertial frame if light is anisotropic'

ASSUMPTIONS 1. Two identical clocks A and B in the same inertial frame are stationary relative to each other a fixed distance L apart. Time passes at the same rate for both. 2. Both clocks are able to send/receive light signals and to write/read the send/receive times into signals. 3. The speed of light is anisotropic. METHOD 1. At time t[A1] and time t[B1], clock A sends a light signal to clock B. The clock B time is unknown to A. 2. Clock B receives the signal from A at time t[B2] and...
View full post »

Thread 'Is the variation of the metric ##\delta g_{\mu\nu}## a tensor?'

From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
View full post »

Similar threads

A Solving this non-holonomic system using Dirac-Bergmann theory
Replies
4
Views
2K
A Dirac's "GTR" Eq (27.4): how momentum ##p^\mu## varies
2
Replies
50
Views
2K
I Noether's second theorem: two questions
Replies
7
Views
3K
Studying Skipping Chapters in Stewart’s Calculus? (Pearson's Edexcel IAL Background)
Replies
2
Views
206
Taylor's Theorem for finding error for Taylor expansion
Replies
10
Views
1K
How do I cite a chapter from lecture notes?
Replies
2
Views
2K
B Have I proved some part of Fermat's last theorem?
Replies
15
Views
2K
Misc. Rowing: does every oar need a blade?
Replies
20
Views
2K
A Confused about noise power spectral density measurement
Replies
0
Views
2K
Mathematica Black Hole shadow temperature profile
Replies
0
Views
2K

Hot Threads

Recent Insights

Back
Top