Recent content by sourena

For a rank (0,3) tensor, Aabc, without any constraint, degrees of freedom are 216, a,b,c = 0, ..., 6. If this tensor is antisymmetric in the first 2 indices, degrees of freedom dicrease to 90. If it is mixed symmetry, the number of constraint equations are: \frac{n(n-1)(n-2)}{3!}...

How can I calculate degrees of freedom of a rank (o,3) tensor, Aabc, that is mixed symmetry and antisymmetric in the first 2 indices? By mixed symmetry I mean this: Aabc+Acab+Abca=0.

Dear Bill_K and Matterwave First of all, thank you so much for your time and attention. I value it a great deal. Yes Bill_k, this is what I want to do. To be more precise I'm going to explain what exactly I want: Consider the action SM=(1/2k2)\int d^{D}x\sqrt{-g}{R-2\Lambda+\alpha...

Gauss-Bonnet term extrinsic curvature calculations? In General Relativity if one wants to calculate the field equation with surface term, must use this equation: S=\frac{1}{16\pi G}\int\sqrt{-g} R d^{4} x+\frac{1}{8\pi G}\int\sqrt{-h} K d^{3} x The second term is so-called Gibbons-Hawking...

Can the relationship between the quantum mechanical path integral and classical mechanics be stated as this? A path integral involves an exponential of the action S.

What is the relationship between the quantum mechanical path integral and classical mechanics path integral?

Dear arkajad I wanted to calculate this: g^{ab}\delta R_{ab} = g_{ab} \nabla^c\nabla_c \delta g^{ab} - \nabla_a\nabla_b \delta g^{ab} or \delta R = R_{ab} \delta g^{ab} + g_{ab} \nabla^c\nabla_c \delta g^{ab} - \nabla_a\nabla_b \delta g^{ab}

Dear JustinLevy Sorry for being late to answer your posts. I value your hard work to obtain this expression a great deal. Thank you very much for your time and care.

No, I don't have problem with these equations, but I have problem to calculate this equation from them: δR=Rab δgab+gab δgab -∇a ∇b δgab

Thank you for your time and care, but I need to obtain this: δR=Rμσ δg+gμσ δg^μσ -∇μ ∇σ δg^μσ in f(R) gravity: http://en.wikipedia.org/wiki/F(R)_gravity

Thank you for your reply. I know the answer of calculation but I couldn't derive it. This is not a homework.

I need to calculate δR: R is Ricci scalar

Can Conformal Weyl Gravity be considered a viable cosmological theory?