Energy-momentum tensor, lagrangian density

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SUMMARY

The discussion focuses on calculating the energy-momentum tensor using the Lagrangian density in the context of theoretical physics. The participant struggles with obtaining the correct sign in their results, specifically referencing equations labeled (2) and (3) in their source material. The conversation highlights the importance of precise mathematical notation and understanding the underlying principles of tensor calculus in this calculation.

PREREQUISITES
  • Understanding of Lagrangian mechanics
  • Familiarity with tensor calculus
  • Knowledge of energy-momentum tensor concepts
  • Proficiency in mathematical notation and sign conventions
NEXT STEPS
  • Study the derivation of the energy-momentum tensor from the Lagrangian density
  • Review tensor calculus applications in theoretical physics
  • Examine common sign conventions in physics equations
  • Practice problems involving Lagrangian mechanics and energy-momentum calculations
USEFUL FOR

The discussion is beneficial for physics students, researchers in theoretical physics, and anyone interested in mastering the concepts of Lagrangian mechanics and energy-momentum tensors.

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Homework Statement



I try to calculate the energy tensor, but i can't do it like the article, and i don't know, i have a photo but it don't look very good, sorry for my english, i have a problem with a sign in the result

Homework Equations





The Attempt at a Solution



In the photos you can see the attemp at a solution
 

Attachments

  • 1 problema.PNG
    1 problema.PNG
    22.4 KB · Views: 1,029
  • 2.PNG
    2.PNG
    35.4 KB · Views: 664
  • Captura.PNG
    Captura.PNG
    16.4 KB · Views: 690
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This is the problem
 

Attachments

  • Problema enunciado.PNG
    Problema enunciado.PNG
    43.5 KB · Views: 818
I must get the yellow (3) from yellow in (2)
 

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