Graduate Covariant Derivative of Stress Energy Tensor of Scalar Field on Shell

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SUMMARY

The forum discussion centers on proving formula 21 from a specific paper related to the covariant derivative of the stress-energy tensor of a scalar field on a shell. The original poster seeks assistance in identifying errors in their approach to this proof. The discussion emphasizes the importance of understanding the mathematical framework involved in the derivation, particularly in the context of general relativity and field theory.

PREREQUISITES
  • Understanding of general relativity concepts
  • Familiarity with stress-energy tensors
  • Knowledge of covariant derivatives
  • Experience with scalar field theory
NEXT STEPS
  • Study the derivation of the stress-energy tensor in general relativity
  • Learn about covariant differentiation techniques in differential geometry
  • Review scalar field theory and its implications in curved spacetime
  • Examine related proofs and derivations in advanced theoretical physics literature
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The discussion is beneficial for theoretical physicists, graduate students in physics, and researchers focusing on general relativity and field theory, particularly those interested in the mathematical aspects of stress-energy tensors.

thatboi
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Hi all,
I am currently trying to prove formula 21 from the attached paper.
My work is as follows:
1.PNG


If anyone can point out where I went wrong I would greatly appreciate it! Thanks.
 

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Thread 'EPR revisited'

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##...
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