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1. The Lagrange density for electromagnetism in curved space isℒ = √(-g)( -(1)/(4) F^μν Fμν Aμ J^μ), where J^μ is the conserved current.(4.156)(a) Derive the energy-momentum tensor by functional differentiation with respect tothe metric.(b) Consider adding a new term to the Lagrangian,ℒ' = β R^μν g^ρσ Fμρ Fνσ.How are Maxwell's equations altered in the presence of this term? Einstein's equation? Is the current still conserved?
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