Understand
We prove the theorem: The second order quasi-linear differential operator as a second rank divergence free tensor in the equation of motion for gravitation could always be derived from the trace of the Bianchi derivative of the fourth rank tensor, which is a homogeneous polynomial in curvatures.
- The existence of such a tensor for each term in the polynomial Lagrangian is a new characterization of the Lovelock gravity.
Built on
D. Lovelock (1971) Jour. Math. Phys. 12
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C. W. Misner, K. S. Thorne and J. A. Wheeler (1973) Gravitation (Freeman)
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