Recent content by hykhor0601

can you write it in the form after substitude into ∂µ[√ (−g)gµν∂ν(ϕ) ]− m^2√ (−g)ϕ = 0

just the form of gμν that can be sub into the equation of motion

∂∨μ[(√-g)g∨μν∂∨ν(Φ)]-m^2√(-g)Φ=0 What is the meaning of ∂∨μ,√-g,∂∨ν(Φ) in this equation? How to give the form of g^μν from the metric (9) in the article?(or how do i get the form of ∂∨μ[(√-g)g∨μν∂∨ν(Φ)]-m^2√(-g)Φ=0 ) https://arxiv.org/pdf/0909.1347.pdf Please help me, thank you

The conditions is in the article below, please help me https://arxiv.org/pdf/0909.1347.pdf

https://arxiv.org/pdf/0909.1347.pdf The metric is given in (9)

##ds^2=g_{μν}(x)dx^μdx^ν= -(r^6/l^6)[1-(Ml^2/r^2)]dt^2+{1/[(r^2/l^2)-M]}dr^2+r^2dΦ^2## Does anyone know how to solve this?