From General Relativity to Dark Energy

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SUMMARY

This discussion focuses on the calculations necessary to derive equations (2.13) and (2.14) from equations (2.5), (2.6), (2.9), (2.10), and (2.11) in the context of General Relativity and Dark Energy. Participants emphasize the importance of adhering to homework guidelines, particularly in presenting calculations clearly and legibly. The need for step-by-step explanations is highlighted to facilitate understanding and assistance. The discussion underscores the collaborative nature of problem-solving in physics.

PREREQUISITES
  • Understanding of General Relativity principles
  • Familiarity with mathematical notation used in physics
  • Ability to perform algebraic manipulations and substitutions
  • Knowledge of the specific equations referenced (2.5, 2.6, 2.9, 2.10, 2.11)
NEXT STEPS
  • Review the derivation of equations in General Relativity
  • Study the implications of Dark Energy on cosmological models
  • Learn about the significance of homework guidelines in collaborative learning
  • Explore step-by-step problem-solving techniques in physics
USEFUL FOR

Students of physics, educators guiding homework assignments, and anyone interested in the mathematical foundations of General Relativity and Dark Energy.

Adwit
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Homework Statement
How do we get the values of Ricci Tensor & Ricci scalars?
Relevant Equations
Equations of Ricci tensor Ricci Scalar, Christoffel symbol
If we insert the values from (2.9), (2.10), (2.11) into (2.5) & (2.6) how can we get (2.13) & (2.14) ?? I need to see the calculations step by step.
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Please show your own efforts in accordance with the homework guidelines.
 
Orodruin said:
Please show your own efforts in accordance with the homework guidelines.
Here is my own effort. Now, will you please tell me where I went wrong? What do I have to do?
 

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Please read points 5 and 6: https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.635513/

If you cannot be bothered to type things out in a legible format and explain what you are attempting to do in each step, then I certainly don’t feel any will to strain my eyes unnecessarily and spend triple the effort to try to help you comparef to what would be necessary if you followed the guidelines.

Let me also remind you of your own words:
Adwit said:
Ok, this is the last time I posted image of calculation. For now, I will write the calculation.
 
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