# Schwarzschild Metric - Rindler coordinates

## Main Question or Discussion Point

Hello, well I just read a paper by Atish Dabholkar and Ashoke Sen, titled "Quantum Black Holes", pp. 4-5 as shown below

and I tried to find $d\xi^{2}\frac{2GM}{\xi}=d\rho^{2}$ like this

which is different from the eq. in the paper.

So, could somebody please help me to find my mistake in the calculation? Thank you

## Answers and Replies

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Bill_K
Science Advisor
ρ2 = 8GM ξ
ρ = √8GM √ξ
dρ = √8GM ½dξ/√ξ = √2GM dξ/√ξ
2 = 2GM dξ2

Ah thank you so much :D