Proof of Buchdal's Theorem | Show & Send Link

  • Thread starter Thread starter Terilien
  • Start date Start date
  • Tags Tags
    Theorem
Click For Summary
SUMMARY

The discussion centers on Buchdahl's Theorem, specifically referencing the paper "General Relativistic Fluid Spheres" by H. A. Buchdahl published in Phys. Rev. 116, pages 1027-1034 in 1959. Participants seek a proof of the theorem and a link to the original paper. The provided link directs to the abstract of the paper on the American Physical Society's website, which is essential for accessing the full proof and understanding the theorem's implications in general relativity.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with fluid dynamics in astrophysics
  • Knowledge of mathematical proofs in theoretical physics
  • Access to academic journals and papers
NEXT STEPS
  • Read the full paper "General Relativistic Fluid Spheres" by H. A. Buchdahl
  • Explore related concepts in general relativity, such as Schwarzschild solutions
  • Investigate the implications of Buchdahl's Theorem on stellar structure
  • Study mathematical techniques for proving theorems in theoretical physics
USEFUL FOR

Physicists, astrophysicists, and students studying general relativity who are interested in the mathematical foundations and implications of Buchdahl's Theorem.

Terilien
Messages
140
Reaction score
0
Can anyone show me a proof of this theorem? Could someone possibly send me a link?
 
Physics news on Phys.org
http://prola.aps.org/abstract/PR/v116/i4/p1027_1
General Relativistic Fluid Spheres
H. A. Buchdahl
Phys. Rev. 116, 1027 - 1034 (1959)
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

Similar threads

  • · Replies 34 ·
2
Replies
34
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
2K
  • · Replies 38 ·
2
Replies
38
Views
1K
  • · Replies 22 ·
Replies
22
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
18
Views
1K
  • · Replies 53 ·
2
Replies
53
Views
5K