174 research outputs found
Field equations for Lovelock gravity: An alternative route
We present an alternative derivation of the gravitational field equations for
Lovelock gravity starting from the Newton's law, which is closer in spirit to
the thermodynamic description of gravity. As a warm up exercise, we have
explicitly demonstrated that projecting the Riemann curvature tensor
appropriately and taking a cue from Poisson's equation, the Einstein's
equations immediately follow. The above derivation naturally generalizes to
Lovelock gravity theories where an appropriate curvature tensor satisfying the
symmetries as well as the Bianchi derivative properties of the Riemann tensor
has to be used. Interestingly, in the above derivation, the thermodynamic route
to gravitational field equations, suited for null hypersurfaces, emerge quiet
naturally.Comment: Invited Article; 11 pages, no figure
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