From General Relativity to Dark Energy

Adwit
Messages
15
Reaction score
2
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

3.png
 
Physics news on Phys.org
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?
 

Attachments

  • 123.jpg
    123.jpg
    28 KB · Views: 150
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.
 
  • Like
  • Love
Likes berkeman, vanhees71 and Delta2
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top