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Graduate Electromagnetic Stress Energy Tensor Formula (-,+,+,+)
From Misner... who uses the convention of (-, +, +, +) for the metric ##g^{\mu\nu}##, with the electromagnetic stress energy tensor being(pg.141): $$T^{\mu \nu} = \frac{1}{\mu_0}(F^{\mu \alpha}F^{\nu}{}_{\alpha} - \frac{1}{4}g^{\mu\nu}F_{\alpha\beta}F^{\alpha \beta})$$ and then a positive sign...- Jay21
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- Forum: Special and General Relativity
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J
Graduate Electromagnetic Stress Energy Tensor Formula (-,+,+,+)
I am trying to find the correct formula for the electromagnetic stress energy tensor with the sign convention of (-, +, +, +). Is it (from Ben Cromwell at Fullerton College): $$T^{\mu \nu} = \frac{1}{\mu_0}(F^{\mu \alpha}F^{\nu}{}_{\alpha} - \frac{1}{4}g^{\mu\nu}F_{\alpha\beta}F^{\alpha...- Jay21
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- Electromagnetic Energy Stress Stress energy tensor Tensor
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- Forum: Special and General Relativity