Find christoffel symbols for given metric

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Reference no: EM13910040

ds² = -cos(2β)dt² - 2sin(2β)drdt + cos(2β)dr² + r²dθ² + r² sin²θdΦ²

Here β = β(r), Take x^o = t, x¹ = r, x² = θ, x³ = Φ

Find christoffel symbols for above metric

i) Γ⁰00

ii) Γ⁰22

iii) Γ⁰33

(iv) Γ⁰11

(v) Γ¹11

Reference no: EM13910040

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