From General Relativity to 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.
1.png


2.png

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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 'Please tell me where I am going wrong in this integral'

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Thread 'Number of quantum accessible states of a particle given T, N?'

It's given a gas of particles all identical which has T fixed and spin S. Let's ##g(\epsilon)## the density of orbital states and ##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise. How to compute the number of accessible quantum states of one particle? This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system. Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have...
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