Undergrad Understanding the Proof of Delta Variation for Determinant of Metric

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The discussion centers on seeking the proof of delta variation for the determinant of the metric in general relativity. Participants emphasize the importance of providing background information to facilitate better assistance. Reference is made to Inverno's textbook for guidance, but there is a caution against copyright violations when sharing resources. Contributors encourage the original poster to specify their current understanding and the resources they have consulted. Engaging with the community requires a collaborative effort to clarify the topic effectively.
Das apashanka
I am looking for the proof of delta variation of determinant of metric but still I find difficulty ? Can I get the full proof here
 
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See e.g. Inverno's textbook on GR, chapter 7.3. But I'm afraid that if you don't give any background, people will not answer your question. This forum is not the physics equivalent of McDonalds.
 
if you please upload the section/book that will be a great help
 
Das apashanka said:
if you please upload the section/book that will be a great help
This might also be a good time to mention the Physics Forums rule about copyright violations.

We can help you understand a topic, but you'll have to meet us halfway. You said you're having difficulty - how far in did you get before you got stuck? What books or other resources have you been studying from and what is your starting point?
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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