with r > 0 and ~+2. Consider the following line element: ds* = dr2 + tanh(r) do, (a) Compute the Christoffel symbols. (b) Show that the non-vanishing components of the Ricci tensor are given by 2 Rrr Rob cosh2(r) 2 tanh(r) cosh2(r) (c) Does the line element (1) solve the Einstein equation in vacuum Gab = 0?
with r > 0 and ~+2. Consider the following line element: ds* = dr2 + tanh(r) do, (a) Compute the Christoffel symbols. (b) Show that the non-vanishing components of the Ricci tensor are given by 2 Rrr Rob cosh2(r) 2 tanh(r) cosh2(r) (c) Does the line element (1) solve the Einstein equation in vacuum Gab = 0?
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Transcribed Image Text:with r > 0 and ~+2.
Consider the following line element:
ds* = dr2 + tanh(r) do,
(a) Compute the Christoffel symbols.
(b) Show that the non-vanishing components of the Ricci tensor are given by
2
Rrr
Rob
cosh2(r)
2 tanh(r)
cosh2(r)
(c) Does the line element (1) solve the Einstein equation in vacuum Gab
= 0?
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