Consider the static spherically symmetric metric ds² = 9abdxdxb = −e²A(r) dt² + e²B(r) dr² + r² (do² + sin² 0 do²). In addition, consider an anti-symmetric (0,2) tensor Fab = Fab], whose only non-vanishing components are Ftr , where Q is a positive constant. Then, the tt component of the energy-momentum tensor -Frt Q = Tab = FF - ac 9ab FF is given by: a. Ttt b. Ta tt ☐ c. Ttt d. Ttt Q² 27-4 = 0 = Q² 27-4 e Q² 27-4 -2B(r) -2A(r)
Consider the static spherically symmetric metric ds² = 9abdxdxb = −e²A(r) dt² + e²B(r) dr² + r² (do² + sin² 0 do²). In addition, consider an anti-symmetric (0,2) tensor Fab = Fab], whose only non-vanishing components are Ftr , where Q is a positive constant. Then, the tt component of the energy-momentum tensor -Frt Q = Tab = FF - ac 9ab FF is given by: a. Ttt b. Ta tt ☐ c. Ttt d. Ttt Q² 27-4 = 0 = Q² 27-4 e Q² 27-4 -2B(r) -2A(r)
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