From General Relativity to Dark Energy

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The discussion focuses on the need for step-by-step calculations to derive equations (2.13) and (2.14) from (2.5), (2.6), and the provided values. A participant requests clarification on their own calculations and seeks guidance on where they went wrong. Another contributor emphasizes the importance of presenting work clearly and legibly, adhering to homework guidelines to facilitate assistance. The conversation highlights the necessity of following established protocols for effective communication in academic discussions. Clear and structured presentation of calculations is crucial for receiving helpful feedback.
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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Thread 'Help needed with Elliptic Integrals'

I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW
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